JEE Main 2022 PYQ

If the projection of on is zero. Then, the value of will be _______. [28-Jul-2022-Shift-1]

If and . The magnitude of component of vector along vector will be . [26-Jul-2022-Shift-2]

is a vector quantity such that non-zero constant. Which of the following expression is true for ? [25-Jun-2022-Shift-1]

Which of the following relations is true for two unit vector and making an angle to each other? [25-Jun-2022-Shift-1]

Two vectors and have equal magnitudes. If magnitude of is equal to two times the magnitude of , then the angle between and will be : [29-Jun-2022-Shift-1]

The one division of main scale of Vernier callipers reads and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of

In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference of the water and surroundings and time as shown in figure. The initial temperature of water is

A tunning fork of frequency resonates in the fundamental mode with an air column of length in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water requi

A fighter jet is flying horizontally at a certain altitude with a speed of . When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle with the horizontal, to

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be: [24-Jun-2022-Shift-2]

In the wave equation the velocity of the wave will be: [28-Jul-2022-Shift-1]

The current I flowing through the given circuit will be ________ A. [29-Jul-2022-Shift-1]

In the given circuit 'a' is an arbitrary constant. The value of for which the equivalent circuit resistance is minimum, will be . The value of is _____ [27-Jun-2022-Shift-2]

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of in , the distance travelled by the toy in the next will be : [29-Jun-2022-Shift-2]

The radii of two planets and are in the ratio . Their densities are and respectively. The ratio of their acceleration due to gravity is : [30-Jun-2022-Shift-1]

A battery of is connected to the circuit as shown below. The current I drawn from the battery is: [26-Jul-2022-Shift-2]

If represents the actual number of deflections in a converted galvanometer of resistance and shunt resistance . Then the total current I when its figure of merit is will be: [25-Jun-2022-Shift-2]

If the electric potential at any point in space is given by volt. The electric field at the point will be : [29-Jun-2022-Shift-2]

A block 'A' takes to slide down a frictionless incline of and length 'I', kept inside a lift going up with uniform velocity 'v'. If the incline is changed to , the time taken by the block, to slide do

Match List I with List II. List I List II A.Torque l. B.Stress II. C.Latent Heat III. D.Power IV. Choose the correct answer from the options given below : [29-Jul-2022-Shift-2]

Two identical cells each of emf are connected in parallel across a parallel combination of two resistors each of resistance . A voltmeter connected in the circuit measures . The internal resistance of

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is . The length of the open organ pipe is ______

A steel wire of length and a copper wire of length , both of radius are connected end to end. When stretched by a load, the net elongation is found to be . The load applied, in Newton, will be: ( Give

Two projectiles are thrown with same initial velocity making an angle of and with the horizontal respectively. The ratio of their respective ranges will be : [26-Jul-2022-Shift-2]

Which of the following equations correctly represents a travelling wave having wavelength , frequency and travelling in positive -axis direction? [30-Jun-2022-Shift-1]

A student in the laboratory measures thickness of a wire using screw gauge. The readings are and . The percentage error is . The value of is [28-Jun-2022-Shift-2]

The velocity of a small ball of mass ' ' and density , when dropped in a container filled with glycerin, becomes constant after some time. If the density of glycerin is , then the viscous force acting

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is [26-Jun-2022-

A lead bullet penetrates into a solid object and melts. Assuming that of its kinetic energy is used to heat it, the initial speed of bullet is :(Given : initial temperature of the bullet , Melting poi

Two bodies and of masses and are moving such that the momentum of body is twice that of the body . The ratio of their kinetic energies will be : [30-Jun-2022-Shift-1]

Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): Clothes containing oil or grease stains cannot be cleaned by water wash. Reason

Choose the correct answer from the options given below : List-I List-II (A) Moment of inertia of solid sphere of radius R about any tangent. (I) (B) Moment of inertia of hollow sphere of radius (R) ab

A bullet of mass having initial kinetic energy is shot inside a long swimming pool as shown in the figure. If it's kinetic energy reduces to within , the minimum length of the pool, the bullet has to

A metal wire of length and cross-sectional area has breaking stress . A block of is attached at one end of the string and is rotating in a horizontal circle. The maximum linear velocity of block will

For the network shown below, the value of is _______V. [29-Jun-2022-Shift-1]

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass moves against the wall with a speed . Which of the following curve represents the correct relation between the n

One end of a massless spring of spring constant and natural length is fixed while the other end is connected to a small object of mass lying on a frictionless table. The spring remains horizontal on t

A man of is running on the road and suddenly jumps into a stationary trolly car of mass . Then, the trolly car starts moving with velocity . The velocity of the running man was _____ , when he jumps i

Two point charges and of magnitude and respectively are placed at a distance apart. The electric field at the middle point between the charges is . The distance ' ' between the point charges and is :

A parallel plate capacitor with width , length and separation between the plates of is connected to a battery of . A dielectric slab of dielectric constant 5 having length , width and thickness is ins

Three identical charged balls each of charge are suspended from a common point by silk threads of each (as shown in figure). They form an equilateral triangle of side .The ratio of net force on a char

In a potentiometer arrangement, a cell of emf gives a balance point at length of wire. This cell is now replaced by another cell of emf . The difference in balancing length of potentiometer wire in ab

Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor. Statement II : Electric field just outside a charged conductor is perpendicula

Motion of a particle in -y plane is described by a set of following equations and . The path of the particle will be : [28-Jun-2022-Shift-1]

The area of cross section of the rope used to lift a load by a crane is . The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons,

A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of t

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is . The diameter of wire is measured as . The resistivity of the given wire is measu

A ball is projected vertically upward with an initial velocity of at s. At , another ball is projected vertically upward with same velocity. At _______ , second ball will meet the first ball . [26-Jun

Resistance of the wire is measured as and at and respectively. Temperature co-efficient of resistance of the material of the wire is : [28-Jun-2022-Shift-2]

The equivalent capacitance between points and in below shown figure will be _______ [25-Jun-2022-Shift-1]

A pulley of radius is rotated about its axis by a force applied tangentially (while is measured in seconds). If moment of inertia of the pulley about its axis of rotation is , the number of rotations

A copper block of mass is heated to a temperature of and is placed on a large ice block. What is the maximum amount of ice that can melt? [Specific heat of copper : and latent heat of fusion of water

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 5 times its mass?(Assume the collision to be head-on elastic c

A water drop of diameter is broken into 64 equal droplets. The surface tension of water is . In this process the gain in surface energy will be : [28-Jun-2022-Shift-1]

A capacitor of capacitance is charged to a potential of using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor of capacitance as shown in figure.

In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of is measured from time of 100 oscillation with a watch of resolution. If measured value of length is known

At a certain temperature, the degrees of freedom per molecule for gas is 8 . The gas performs of work when it expands under constant pressure. The amount of heat absorbed by the gas will be ________ J

A of iron nail is hit by a hammer striking at a velocity of . What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?[Specific heat capac

An observer is riding on a bicycle and moving towards a hill at . He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original fre

The three charges and are placed at the corners and of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner of the square, is : [28-Jun-2022-Shift-1]

A Carnot engine takes of heat from a reservoir at and gives heat to a sink at . The work done by the engine is [24-Jun-2022-Shift-2]

The charge on capacitor of capacitance in the figure given below is : [26-Jun-2022-Shift-2]

A parallel plate capacitor is made up of stair like structure with a plate area of each stair and that is connected with a wire of length , as shown in the figure. The capacitance of the arrangement i

If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modulus of the material of the wire will: [29-Jul-2022-Shift-1]

A sample of an ideal gas is taken through the cyclic process as shown in figure. It absorbs, of heat during the part , no heat during and rejects of heat during . A work of is done on the gas during t

A gas has degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be : [26-Jul-2022-Shift-2]

A particle executes simple harmonic motion. Its amplitude is and time period is . The time it will take to travel from its position of maximum displacement to the point corresponding to half of its am

A wire of length , stretched between rigid supports, has it's and harmonics at 400 and , respectively. If tension in the string is , it's linear mass density is _________ . [27-Jul-2022-Shift-2]

The root mean square speed of smoke particles of mass in their Brownian motion in air at NTP is approximately. [Given ] [29-Jul-2022-Shift-2]

A water drop of radius falls in a situation where the effect of buoyant force is negligible. Co-efficient of viscosity of air is and its density is negligible as compared to that of water . Terminal v

A ball is spun with angular acceleration where is in second and is in rads . At , the ball has angular velocity of 10 rads and angular position of 4 rad. The most appropriate expression for the angula

In the given figure, the block of mass is dropped from the point ' '. The expression for kinetic energy of block when it reaches point ' ' is [29-Jun-2022-Shift-2]

An object of mass is taken to a height from the surface of earth which is equal to three times the radius of earth. The gain in potential energy of the object will be [If, and radius of earth [29-Jul-

The percentage decrease in the weight of a rocket, when taken to a height of above the surface of earth will, be : ( Radius of earth ) [26-Jul-2022-Shift-1]

A transverse wave is represented by . The value of wavelength (in ) for which the wave velocity becomes equal to the maximum particle velocity, will be : [26-Jul-2022-Shift-2]

A stone of mass , tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is [24-Jun-2022-Shift-2]

The dimensions of will be : (if : permeability of free space and : magnetic field) [28-Jul-2022-Shift-1]

A spherically symmetric charge distribution is considered with charge density varying as Where, is the distance from the centre 0 (as shown in figure). The electric field at point will be: [29-Jul-202

Two capacitors having capacitance and respectively are connected as shown in figure. Initially, capacitor is charged to a potential difference volt by a battery. The battery is then removed and the ch

Two planets and of equal mass are having their period of revolutions and such that . These planets are revolving in the circular orbits of radii and respectively. Which out of the following would be t

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : If we move from poles to equator, the direction of acceleration due to gravity of ea

A steam engine intakes of steam at per minute and cools it down to . If latent heat of vaporization of steam is , then the heat rejected by the steam engine per minute is _____ (Given : specific heat

A potentiometer wire of length is connected in series with a resistance and a standard cell of emf . A constant current flows through potentiometer wire. The length of the null point for cell of emf i

The terminal velocity of the spherical rain drop depends on the radius of the spherical rain drop as : [25-Jun-2022-Shift-1]

An electrical bulb rated , is connected in series with another bulb rated . If the voltage across combination is , the power consumed by the bulb will be about _______ W. [28-Jul-2022-Shift-2]

A monoatomic gas at pressure and volume is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be : [26-Jul-2022-Shift-1]

Let is the efficiency of an engine at and while is the efficiency at and The ratio will be: [25-Jul-2022-Shift-2]

A boy ties a stone of mass to the end of a long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of . If the maximum speed with which the stone can revol

A system of two blocks of masses and is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is . The maximum horizontal force that can be applied to the

Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if de

At time a particle starts travelling from a height in a plane keeping coordinate constant. At any instant of time it's position along the and directions are defined as and respectively. At acceleratio

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness and as shown in figure. The two different dielectric materials are separated by a conduct

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as and respectively. Here and are constants. The relations for distance and time in two systems respectively are: [28-Jun-

Two billiard balls of mass each moving in opposite directions with collide and rebound with the same speed. If the time duration of contact is , then what is the force exerted on the ball due to each

A ball is released from rest from point of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point is while angular position of p

A spherical soap bubble of radius is formed inside another spherical soap bubble of radius 6 . If the internal pressure of the smaller bubble of radius in the above system is equal to the internal pre

In a vernier callipers, each on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be ___

Arrange the four graphs in descending order of total work done; where and are the work done corresponding to figure and respectively. [26-Jun-2022-Shift-2]

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by The amplitude of the p

In the figure, a very large plane sheet of positive charge is shown. and are two points at distance I and from the charge distribution. If is the surface charge density, then the magnitude of electric

The dimension of mutual inductance is : [26-Jun-2022-Shift-2]

A car is moving with speed of and after applying the break it will move before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling m dis

A uniform metal chain of mass and length 'L' passes over a massless and frictionless pulley. It is released from rest with a part of its length 'l' is hanging on one side and rest of its length ' ' is

When a ball is dropped into a lake from a height above the water level, it hits the water with a velocity and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake a

If main scale divisions coincide with vernier scale divisions. The least count of vernier callipers, when each centimetre on the main scale is divided into five equal parts, will be : [30-Jun-2022-Shi

A cell, shunted by a resistance, is balanced across a potentiometer wire of length . The balancing length is when the cell is shunted by resistance. The value of internal resistance of the cell will b

A balloon has mass of in air. The air escapes from the balloon at a uniform rate with velocity . If the balloon shrinks in completely. Then, the average force acting on that balloon will be (in dyne).

Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius ' are as follows: M.I. of solid sphere about its diameter M.I. of solid cylinder about its axis M.I. of solid circular disc abou

A block of metal weighing is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing water at a rate of and at a speed of . Then, the initial acceleration of the block, i

The variation of acceleration due to gravity with distance ( from the center of the earth is correctly represented by :(Given radius of earth) [26-Jun-2022-Shift-1]

A disc with a flat small bottom beaker placed on it at a distance from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity . The co

The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through the center will be ______m. Given, the length of the rod is . [26-Jul-2022-Shift-2

An ice cube of dimensions is placed in an insulation box of wall thickness . The box keeping the ice cube at of temperature is brought to a room of temperature The rate of melting of ice is approximat

If , then the relative error in will be : [25-Jun-2022-Shift-1]

A wire of resistance is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is: [28-Jul-2022-Shift-1]

Following statements are given :(A) The average kinetic energy of a gas molecule decreases when the temperature is reduced.(B) The average kinetic energy of a gas molecule increases with increase in p

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance using a given resistor of . The galvanometer shows null deflection when tapping key is at mark from end . If

Given below are two statements :Statement I : A point charge is brought in an electric field. The value of electric field at a point near to the charge may increase if the charge is positive.Statement

A body of mass at rest explodes into three pieces, in the ratio of masses . Two smaller pieces fly off perpendicular to each other with velocities of and respectively. The velocity of the third piece

A ball of mass is dropped from the height of . The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ____m. Use [26-Jun-2022-Shift-1]

Two cylindrical vessels of equal cross-sectional area contain water upto heights and respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the fo

Two identical positive charges each are fixed at a distance of '2a' apart from each other. Another point charge with mass ' ' is placed at midpoint between two fixed charges. For a small displacement

A stone tide to a spring of length is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u.

A body of mass and another of mass are moving with equal kinetic energy. The ratio of their respective momentum will be : [26-Jul-2022-Shift-2]

Two objects of equal masses placed at certain distance from each other attracts each other with a force of . If one-third mass of one object is transferred to the other object, then the new force will

Two masses and are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass is twice that of , the acceleration of the system is When the mass

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.Assertion A: Two identical balls A and B thrown with same velocity 'u' at two different angles with

Starting with the same initial conditions, an ideal gas expands from volume to in three different ways. The work done by the gas is if the process is purely isothermal, , if the process is purely adia

A car covers distance with first one-third at velocity , second one-third at and last one-third at . If and then the average velocity of the car is ______ [28-Jun-2022-Shift-2]

Water falls from a high dam at the rate of per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydroelectric energy number of lamps, that c

The bulk modulus of a liquid is . The pressure required to reduce the volume of liquid by is : [24-Jun-2022-Shift-1]

In an experiment to determine the Young's modulus, steel wires of five different lengths , and but of same cross section were taken and curves between extension and load were obtained. The slope (exte

A disc of mass and radius is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point

A sample of monoatomic gas is taken at initial pressure of . The volume of the gas is then compressed from 1200 to adiabatically. In this process, the value of workdone on the gas will be : [30-Jun-20

The distance of centre of mass from end of a one dimensional rod having mass density and length (in meter) is . The value of is_____ (where is the distance from end ) [28-Jul-2022-Shift-2]

The length of a seconds pendulum at a height from earth surface will be:(Given Radius of earth and acceleration due to gravity at the surface of earth, ) [25-Jul-2022-Shift-2]

As per the given figure, two blocks each of mass are connected to a spring of spring constant . If both are given velocity in opposite directions, then maximum elongation of the spring is: [26-Jul-202

A particle experiences a variable force in a horizontal plane. Assume distance in meters and force is newton. If the particle moves from point to point in the plane, then Kinetic Energy changes by : [

Two cells of same emf but different internal resistances and are connected in series with a resistance . The value of resistance , for which the potential difference across second cell is zero, is : [

A thermally insulated vessel contains an ideal gas of molecular mass and ratio of specific heats . Vessel is moving with speed and is suddenly brought to rest. Assuming no heat is lost to the surround

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of . The value of internal resistance of each cell

A block moving at a speed of compresses a spring through a distance when its speed is halved. The spring constant of the spring will be ____ [25-Jun-2022-Shift-1]

A condenser of capacitance is charged steadily from 0 to . Which of the following graph represents correctly the variation of potential difference across it's plates with respect to thecharge on the c

A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should be unbinding the strings to ac

Consider the efficiency of carnot's engine is given by , where and are constants. If is temperature, is Boltzmann constant, is angular displacement and has the dimensions of length. Then, choose the i

The frequency of echo will be _______ if the train blowing a whistle of frequency is moving with a velocity of towards a hill from which an echo is heard by the train driver. Velocity of sound in air

The equations of two waves are given by: These waves are simultaneously passing through a string. The amplitude of the resulting wave is: [24-Jun-2022-Shift-1]

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then

A block is pushed against a vertical wall by applying a horizontal force of . The coefficient of static friction between the block and the wall is . A force is also applied on the block vertically upw

Read the following statements : A. When small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the liquid becomes twice. B. Two bodies and having equ

A long cylindrical volume contains a uniformly distributed charge of density . The radius of cylindrical volume is R. A charge particle (q) revolves around the cylinder in a circular path. The kinetic

In a meter bridge experiment, for measuring unknown resistance ' ', the null point is obtained at a distance from the left side as shown at point . If is , then the value of unknown resistance 'S' wil

Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).Assertion (A) : Non-polar materials do not have any permanent dipole moment.Reason (R): When a non-pol

A uniform electric field is created between two parallel plates of length as shown in figure, (where mass of electron and charge of electron). An electron enters the field symmetrically between the pl

A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws balls per second, th

Two projectiles thrown at and with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is : [26-Jul-2022-Shift-1]

If is the density and is coefficient of viscosity of fluid which flows with a speed in the pipe of diameter , the correct formula for Reynolds number is : [26-Jun-2022-Shift-2]

If and are the thermal conductivities, and are the lengths and and are the cross sectional areas of steel and copper rods respectively such that . Then, for the arrangement as shown in the figure, the

(A) The drift velocity of electrons decreases with the increase in the temperature of conductor. (B) The drift velocity is inversely proportional to the area of cross-section of given conductor. (C) T

From the top of a tower, a ball is thrown vertically upward which reaches the ground in . A second ball thrown vertically downward from the same position with the same speed reaches the ground in . A

A bag of sand of mass is suspended by a rope. A bullet of travelling with speed gets embedded in it, then loss of kinetic energy will be : [25-Jul-2022-Shift-2]

A monoatomic gas performs a work of where is the heat supplied to it. The molar heat capacity of the gas will be____ during this transformation. Where is the gas constant. [24-Jun-2022-Shift-2]

The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are and respectively. The maximum percentage error in the detection of the dissipa

A person is standing in an elevator. In which situation, he experiences weight loss? [26-Jun-2022-Shift-1]

As per the given figure, two plates and of thermal conductivity and are joined together to form a compound plate.The thickness of plates are and respectively and the area of cross-section is for each

A block of ice of mass at temperature is put in of water at . The of ice melts as the temperature of the water reaches . The value of is____[Use specific heat capacity of water , Latent heat of ice ]

An electric cable of copper has just one wire of radius . Its resistance is . If this single copper wire of the cable is replaced by seven identical well insulated copper wires each of radius connecte

A vessel contains of nitrogen gas at a temperature of . The amount of heat to be transferred to the gas to double the r.m.s speed of its molecules will be :Take [28-Jul-2022-Shift-2]

A positive charge particle of is thrown in opposite direction to a uniform electric field of strength . If the charge on the particle is and the initial velocity is , how much distance it will travel

A bag is gently dropped on a conveyor belt moving at a speed of . The coefficient of friction between the conveyor belt and bag is . Initially, the bag slips on the belt before it stops due to frictio

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen? [28-Jun-2022-Shift-2]

A galvanometer is shunted by a resistance of . The percentage of the total current which passes through the galvanometer is : [27-Jun-2022-Shift-1]

Assume there are two identical simple pendulum clocks. Clock is placed on the earth and Clock - 2 is placed on a space station located at a height above the earth surface. Clock - 1 and Clock - 2 oper

Four forces are acting at a point in equilibrium as shown in figure. The ratio of force to is where [25-Jul-2022-Shift-1]

As shown in the figure, a potentiometer wire of resistance and length is connected with resistance box (R.B.) and a standard cell of emf 4 V. For a resistance ' ' of resistance box introduced into the

Sixty four conducting drops each of radius and each carrying a charge of are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be : [26-Jun-2022-Shif

The velocity of a small ball of mass and density when dropped in a container filled with glycerine becomes constant after some time. If the density of glycerine is , then the value of viscous force ac

Given below are two statements :Statement I: The law of gravitation holds good for any pair of bodies in the universe.Statement II : The weight of any person becomes zero when the person is at the cen

The metallic bob of simple pendulum has the relative density 5 . The time period of this pendulum is . If the metallic bob is immersed in water, then the new time period becomes . The value of will be

A source of potential difference is connected to the combination of two identical capacitors as shown in the figure. When key ' ' is closed, the total energy stored across the combination is . Now key

A body of mass travels on straight line path with velocity . The net workdone by the force during its displacement from to is : [25-Jul-2022-Shift-1]

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is . The same rod is bent into a ring and its moment of inertia about a diameter is . If is , then the va

Two identical charged particles each having a mass and charge are placed on a horizontal table with a separation of between them such that they stay in limited equilibrium. If the coefficient of frict

Two identical thin metal plates has charge and respectively such that . The plates were brought close to each other to form a parallel plate capacitor of capacitance . The potential difference between

Two metallic blocks and of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of is then the thermal conductivity of will be :[Assume steady state

Three masses and are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force i

A block of mass slides over a surface, when a mass of is suspended through an inextensible massless string passing over frictionless pulley as shown below.The coefficient of kinetic friction between t

Time period of a simple pendulum in a stationary lift is ' '. If the lift accelerates with vertically upwards then the time period will be :(Where acceleration due to gravity) [26-Jun-2022-Shift-1]

A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be : (Take radius of earth and ) [2

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length is . Now an unknown resistance is connected in series with and new balancing length is found to be meas

Given below are two statements :Statement I : A uniform wire of resistance is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be

A thermodynamic system is taken from an original state to an intermediate state by the linear process shown in the figure. Its volume is then reduced to the original volume from to by an isobaric proc

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II : The rms speed of oxygen molecules in a gas is . If the temperature is doubled and th

A liquid of density flows smoothly through a horizontal pipe that tapers in cross-sectional area from to . The pressure difference between the wide and narrow sections of the pipe is . The rate of flo

A thin circular ring of mass and radius is rotating with a constant angular velocity 2 rads in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two

The force required to stretch a wire of cross-section to double its length will be : (Given Yong's modulus of the wire ) [28-Jul-2022-Shift-1]

A force on an object of mass is . The position of that object at is after starting from rest. The value of will be_____ [25-Jun-2022-Shift-1]

A solid cylinder and a solid sphere, having same mass and radius roll down the same inclined plane from top without slipping. They start from rest. The ratio of velocity of the solid cylinder to that

A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the observations for deflection in the galvanometer. Which of the below is t

Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane along its surface with a velocity just sufficient to carry it to the top Point at a height .

When a car is approaching the observer, the frequency of horn is . After passing the observer, it is . If the observer moves with the car, the frequency will be where __________. [26-Jul-2022-Shift-1]

The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be: [24-Jun-2022-Shift-2]

In an experiment to determine the Young's modulus of wire of a length exactly , the extension in the length of the wire is measured as with an uncertainty of when a load of is applied. The diameter of

A ball is released from a height . If and be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between and . [29-Jul-2022-Shift-2

Two bodies of masses and are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined pl

An ideal fluid of density , flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to . The pressure difference between the wide and narrow sections of pipe

The approximate height from the surface of earth at which the weight of the body becomes of its weight on the surface of earth is :[Radius of earth and ] [24-Jun-2022-Shift-1]

A geyser heats water flowing at a rate of per minute from to . If geyser operates on a gas burner, the rate of combustion of fuel will be _____ [Heat of combustion , Specific heat of water ] [26-Jun-2

Two electric dipoles of dipole moments and are placed in two different uniform electric fields of strengths and respectively. The ratio of maximum torque experienced by the electric dipoles will be .

In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the lef

A silver wire has a mass , radius and length . The maximum percentage error in the measurement of its density will be : [27-Jun-2022-Shift-1]

A capacitor of capacitance is charged by source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJ. [27-Jun-2022-Shift-1]

The current I in the given circuit will be : [26-Jul-2022-Shift-1]

A long copper wire carries a current of . If the cross section of the wire is and the resistivity of copper is , the force experienced by moving electron in the wire is _______ . (charge on electron )

The relation between root mean square speed and most probable sped for the molar mass of oxygen gas molecule at the temperature of will be: [25-Jun-2022-Shift-1]

A particle of mass is moving in a straight line with velocity . The work done by the net force during its displacement from to is : (Take . [29-Jun-2022-Shift-1]

A body of mass is projected with velocity in vertically upward direction from the surface of the earth into space. It is given that is escape velocity and . If air resistance is considered to be negli

If momentum of a body is increased by , then its kinetic energy increases by [29-Jul-2022-Shift-2]

A person moved from to on a circular path as shown in figure. If the distance travelled by him is , then the magnitude of displacement would be:(Given ) [25-Jul-2022-Shift-1]

Consider a cylindrical tank of radius is filled with water. The top surface of water is at from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of from the bottom. A fo

A particle of mass is moving in a circular path of constant radius such that its centripetal acceleration [28-Jun-2022-Shift-1]

Current measured by the ammeter in the reported circuit when no current flows through resistance, will be_____A. [28-Jun-2022-Shift-1]

A unit scale is to be prepared whose length does not change with temperature and remains , using a bimetallic strip made of brass and iron each of different length. The length of both components would

27 identical drops are charged at each. They combine to form a bigger drop. The potential of the bigger drop will be_____ V. [25-Jun-2022-Shift-2]

A long cylindrical volume contains a uniformly distributed charge of density . The electric field inside the cylindrical volume at a distance from its axis is _______ [27-Jul-2022-Shift-1]

A metre scale is balanced on a knife edge at its centre. When two coins, each of mass are put one on the top of the other at the mark the scale is found to be balanced at mark. The mass of the metre s

A ball of mass hits the wall with its initial speed of and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is , calculate the time dura

A screw gauge of pitch is used to measure the diameter of uniform wire of length , the main scale reading is and circular scale reading is 7 . The calculated curved surface area of wire to appropriate

is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If half space between the plates is filled with a dielectric of relative permittivity (as

Which of the following physical quantities have the same dimensions? [25-Jul-2022-Shift-1]

A ball is projected from the ground with a speed at an angle with horizontal so that its range and maximum height are equal, then 'tan will be equal to: [25-Jul-2022-Shift-2]

A slab of dielectric constant has the same cross-sectional area as the plates of a parallel plate capacitor and thickness , where is the separation of the plates. The capacitance of the capacitor when

If the initial velocity in horizontal direction of a projectile is unit vector and the equation of trajectory is . The component vector of the initial velocity is ________ . Take [26-Jul-2022-Shift-1]

An air bubble of negligible weight having radius rises steadily through a solution of density at speed . The coefficient of viscosity of the solution is given by : [30-Jun-2022-Shift-1]

An object is projected in the air with initial velocity at an angle . The projectile motion is such that the horizontal range , is maximum. Another object is projected in the air with a horizontal ran

In two different experiments, an object of mass moving with a speed of hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively. Choose the correct option out of th

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be _____ . [25-Jun-2022-Shift-2]

In van der Waal equation is pressure, is volume, is universal gas constant and is temperature. The ratio of constants is dimensionally equal to: [29-Jun-2022-Shift-1]

Three identical particles and of mass each are placed in a straight line with . The gravitational force on a fourth particle of the same mass is , when placed at a distance from the particle on the pe

An object is taken to a height above the surface of earth at a distance from the centre of the earth. Where radius of earth, . The percentage decrease in the weight of the object will be [25-Jul-2022-

A parallel plate capacitor with plate area and plate separation has a capacitance of . The new capacitance of the system if half of the space between them is filled with a dielectric material of diele

Two balls and are placed at the top of tall tower. Ball is released from the top at . Ball is thrown vertically down with an initial velocity 'u' at . After a certain time, both balls meet above the g

An aluminium wire is stretched to make its length, larger. The percentage change in resistance is : [26-Jun-2022-Shift-1]

A current of flows in the circuit as shown in figure. The value of potential difference between the points and will be: [25-Jul-2022-Shift-2]

The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is : [27-Jun-2022-Shift-1]

If , then is : [29-Jul-2022-Shift-1]

A vessel contains of hydrogen and of oxygen at standard temperature and pressure. The volume of the vessel in is : [29-Jun-2022-Shift-2]

Two bodies of mass and have position vectors and respectively. The magnitude of the position vector of the centre of mass of this system will be similar to the magnitude of the vector: [29-Jul-2022-Sh

Two satellites and are revolving in circular orbits around a planet with radius and respectively. The ratio of speed of satellite to be speed of satellite in their respective orbits would be where [25

A ball is projected with kinetic energy , at an angle of to the horizontal. The kinetic energy of this ball at the highest point of its flight will become : [29-Jul-2022-Shift-1]

A diatomic gas does of work when it is expanded isobarically. The heat given to the gas in the process is_____ J. [27-Jun-2022-Shift-2]

Two blocks of masses and are placed on the same straight line with coordinates and respectively. The block of is moved on the same line through a distance of towards the other block. The distance thro

For a free body diagram shown in the figure, the four forces are applied in the ' ' and ' ' directions. What additional force must be applied and at what angle with positive -axis so that the net acce

If a wave gets refracted into a denser medium, then which of the following is true? [27-Jun-2022-Shift-2]

A pendulum is suspended by a string of length . The mass of the bob of the pendulum is . The bob is pulled aside until the string is at with vertical as shown in the figure. After releasing the bob, t

If the charge on a capacitor is increased by , the energy stored in it increases by . The original charge on the capacitor is (in C) [24-Jun-2022-Shift-2]

A string of area of cross-section and length is connected with a rigid body of mass . The body is rotated in a vertical circular path of radius . The body acquires a speed of at the bottom of the circ

The velocity of sound in a gas, in which two wavelengths and produce 40 beats in , will be : [28-Jun-2022-Shift-1]

The diameter of an air bubble which was initially , rises steadily through a solution of density at the rate of . The coefficient of viscosity of the solution is _______ poise (in nearest integer). (t

A certain amount of gas of volume at temperature and pressure expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is ; then the value of will be _______ . (Assume that the given diat

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satell

A torque meter is calibrated to reference standards of mass, length and time each with accuracy. After calibration, the measured torque with this torque meter will have net accuracy of : [27-Jul-2022-

A particle is moving in a straight line such that its velocity is increasing at per meter. The acceleration of the particle is _____ at a point where its velocity is . [25-Jul-2022-Shift-2]

A charge of is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be : [27-Jul-2022-

A Carnot engine whose heat sinks at , has an efficiency of . By how many degrees should the temperature of the source be changed to increase the efficiency by of the original efficiency? [24-Jun-2022-

If the acceleration due to gravity experienced by a point mass at a height above the surface of earth is same as that of the acceleration due to gravity at a depth from the earth surface. The value of

A bullet is shot vertically downwards with an initial velocity of from a certain height. Within , the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collisi

A body is projected from the ground at an angle of with the horizontal. Its velocity after 2 s is 20 . The maximum height reached by the body during its motion is____ m. (use ) [24-Jun-2022-Shift-2]

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : Product of Pressure (P) and time (t) has the same dimension as that of coefficient o

The position vector of object is and its velocity . The magnitude of its angular momentum is where is ____ [28-Jun-2022-Shift-1]

Two satellites and , having masses in the ratio , are revolving in circular orbits of radii and respectively around the earth. The ratio of total mechanical energy of to is : [27-Jul-2022-Shift-1]

In the given figure, the value of will be V. [25-Jul-2022-Shift-1]

A block of mass starts sliding on a surface with an initial velocity of . The coefficient of friction between the surface and block is . The distance covered by the block before coming to rest is:[use

A Carnot engine has efficiency of . If the temperature of sink is reduced by , its efficiency increase by . The temperature of the source will be: [28-Jul-2022-Shift-1]

For a particle in uniform circular motion, the acceleration at any point on the circular path of radius is (when is measured from the positive -axis and is uniform speed) : [25-Jun-2022-Shift-2]

A body of mass is projected at an angle of with the horizontal. The trajectory of the body is observed to pass through a point . If is the time of flight, then its momentum vector, at time , is [Take

A mass , attached to a horizontal spring, executes SHM with an amplitude . When this mass passes through its mean position, then a smaller mass of is placed over it and both masses move together with

Which statements are correct about degrees of freedom ? (A) A molecule with degrees of freedom has different ways of storing energy. (B) Each degree of freedom is associated with RT average energy per

The height of any point above the surface of earth is equal to diameter of earth. The value of acceleration due to gravity at point will be: (Given acceleration due to gravity at the surface of earth)

Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is : [27-

According to kinetic theory of gases,A. The motion of the gas molecules freezes at .B. The mean free path of gas molecules decreases if the density of molecules is increased.C. The mean free path of g

The circuit diagram of potentiometer used to measure the internal resistance of a cell (E) is shown in figure. The key ' ' is kept closed so as to send constant current through potentiometer wire. Whe

If the radius of earth shrinks by while its mass remains same. The acceleration due to gravity on the earth's surface will approximately : [28-Jul-2022-Shift-1]

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of for a tuning fork of frequenc

The area of cross-section of a large tank is . It has a narrow opening near the bottom having area of cross-section . A load of is applied on the water at the top in the tank. Neglecting the speed of

A tube of length is filled completely with an incompressible liquid of mass and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity

If a charge is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be : [27-Jun-2022-Shift-2]

A cylinder of fixed capacity of litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by will be :(Given gas consta

A force of acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor is removed, then the force acting on that particle will be. [27-Jun-2022-Shift-1]

Sound travels in a mixture of two moles of helium and moles of hydrogen. If rms speed of gas molecules in the mixture is times the speed of sound, then the value of will be : [25-Jul-2022-Shift-2]

The potential energy of a particle of mass in motion along the -axis is given by . The time period of the particle for small oscillation is . The value of is ________. [28-Jul-2022-Shift-2]

A ball is thrown vertically upwards with a velocity of from the top of a tower. The ball strikes the ground after . The height from the ground up to which the ball can rise will be . The value of is (

An expression for a dimensionless quantity is given by ; where and are constants, is distance; is Boltzmann constant and is the temperature. Then the dimensions of will be : [26-Jun-2022-Shift-1]

Sand is being dropped from a stationary dropper at a rate of on a conveyor belt moving with a velocity of . The power needed to keep the belt moving with the same velocity will be : [27-Jul-2022-Shift

Two metallic wires of identical dimensions are connected in series. If and are the conductivities of the these wires respectively, the effective conductivity of the combination is : [29-Jul-2022-Shift

300 cal. of heat is given to a heat engine and it rejects 225 cal. If source temperature is , then the temperature of sink will be ______ [29-Jun-2022-Shift-1]

A uniform heavy rod of mass , cross sectional area and length is hanging from a fixed support. Neglecting the lateral contraction, the elongation in the rod due to its own weight is . The value of is

A projectile is launched at an angle ' ' with the horizontal with a velocity . After , its inclination with horizontal is ' '. The value of will be : . [27-Jun-2022-Shift-1]

Eight similar drops of mercury are maintained at each. All these spherical drops combine into a single big drop. The potential energy of bigger drop will be______ E. Where is the potential energy of a

For , where 'a' is a constant. If percentage error in measurement of ' ' and ' ' are and respectively, then the percentage error for 'z' will be ______ [25-Jun-2022-Shift-2]

A girl standing on road holds her umbrella at with the vertical to keep the rain away. If she starts running without umbrella with a speed of , the rain drops hit her head vertically. The speed of rai

The pressure of the gas in a constant volume gas thermometer is of mercury when placed in melting ice at 1 atm. When the bulb is placed in a liquid, the pressure becomes of mercury. Temperature of the

A projectile is projected with velocity of at an angle with the horizontal. After seconds its inclination with horizontal becomes zero. If represents horizontal range of the projectile, the value of w

The motion of a simple pendulum executing S.H.M. is represented by the following equation. , where time is measured in second. The length of pendulum is [29-Jun-2022-Shift-2]

A solid metallic cube having total surface area is uniformly heated. If its temperature is increased by , calculate the increase in volume of the cube. Given [25-Jun-2022-Shift-2]

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be : [27-Jun-2022-Shift-2]

The velocity of upper layer of water in a river is . Shearing stress between horizontal layers of water is . Depth of the river is m. (Co-efficient of viscosity of water is _____ ) [25-Jun-2022-Shift-

What will be the most suitable combination of three resistors so that is equivalent resistance of combination? [24-Jun-2022-Shift-2]

Three identical spheres each of mass are placed at the corners of a right angled triangle with mutually perpendicular sides equal to each. Taking point of intersection of mutually perpendicular sides

Two capacitors, each having capacitance are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant such that the equivalence capacitance

A water drop of radius is broken into 729 equal droplets. If surface tension of water is 75 dyne\/ , then the gain in surface energy upto first decimal place will be : (Given ) [26-Jul-2022-Shift-1]

The elastic behaviour of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of is_____ . Assume that material is elastic upto the linear strai

of a certain monoatomic ideal gas undergoes a temperature increase of at constant pressure. The increase in the internal energy of the gas in this process is : (Given ) [26-Jul-2022-Shift-1]

A block of mass slides down on a rough inclined plane with constant velocity. The angle made by the incline plane with horizontal is . The magnitude of the contact force will be : [27-Jul-2022-Shift-2

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils.

Two identical metallic spheres and when placed at certain distance in air repel each other with a force of . Another identical uncharged sphere is first placed in contact with and then in contact with

A vertical electric field of magnitude just prevents a water droplet of a mass from falling. The value of charge on the droplet will be :(Given : ) [24-Jun-2022-Shift-1]

Capacitance of an isolated conducting sphere of radius becomes times when it is enclosed by a concentric conducting sphere of radius connected to earth. The ratio of their radii is : [25-Jul-2022-Shif

A spherical shell of mass and radius is rolling with angular speed on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin 0 is . The value of a will

Two parallel plate capacitors of capacity and are connected in parallel combination and charged to a potential difference . The battery is then disconnected and the space between the plates of the cap

A longitudinal wave is represented by . The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to: [29-Jun-2022-Shift-1]

The speed of a transverse wave passing through a string of length and mass is . The area of cross-section of the wire is and its Young's modulus is . The extension of the wire over its natural length

Four identical discs each of mass ' ' and diameter 'a' are arranged in a small plane as shown in figure. If the moment of inertia of the system about is . Then, the value of will be ________. [28-Jul-

A drop of liquid of density is floating half immersed in a liquid of density and surface tension . The radius of drop in will be : [25-Jul-2022-Shift-2]

A ball of mass is dropped from a height on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance . The sprin

At what temperature a gold ring of diameter be heated so that it can be fitted on a wooden bangle of diameter ? Both the diameters have been measured at room temperature .(Given : coefficient of linea

A capacitor is discharging through a resistor . Consider in time , the energy stored in the capacitor reduces to half of its initial value and in time , the charge stored reduces to one eighth of its

Identify the pair of physical quantities that have same dimensions: [24-Jun-2022-Shift-2]

Two metallic plates form a parallel plate capacitor. The distance between the plates is ' '. A metal sheet of thickness and of area equal to area of each plate is introduced between the plates. What w

A square aluminum (shear modulus is ) slab of side and thickness is subjected to a shearing force (on its narrow face) of . The lower edge is riveted to the floor. The displacement of the upper edge i

A long ladder weighing leans on a frictionless wall. Its feet rest on the floor away from the wall as shown in the figure. If and are the reaction forces of the floor and the wall, then ratio of will

The total internal energy of two mole monoatomic ideal gas at temperature will be_____J. Given [28-Jun-2022-Shift-1]

A body is performing simple harmonic with an amplitude of . The velocity of the body was tripled by air jet when it is at 5 from its mean position. The new amplitude of vibration is . The value of is_

If force acts on a particle position vector then, the torque about the origin will be : [25-Jun-2022-Shift-1]

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be : [26-Jul-2022-Shift-1]

Eight copper wire of length and diameter are joined in parallel to form a single composite conductor of resistance . If a single copper wire of length have the same resistance then its diameter will b

In case, Carnot engine operates between temperatures and case, as shown in the figure, a combination of two engines is used. The efficiency of this combination (in case) will be : [27-Jul-2022-Shift-2

As show in the figure, in steady state, the charge stored in the capacitor is _______ . [27-Jul-2022-Shift-2]

The velocity of the bullet becomes one third after it penetrates in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely aft

The total charge on the system of capacitors and connected in parallel is : (Assume a battery of is connected to the combination) [26-Jul-2022-Shift-1]

A system to 10 balls each of mass are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between t

A curved in a level road has a radius . The maximum speed of a car turning this curved road can be without skidding. If radius of curved road is changed to and the coefficient of friction between the

A block of mass 'Im' (as shown in figure) moving with kinetic energy E compresses a spring through a distance when, its speed is halved. The value of spring constant of used spring will be for _______

In the arrangement shown in figure and are the accelerations of masses and respectively. Which of the following relation is true for this arrangement? [26-Jun-2022-Shift-2]

An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero? [26-Jun-2022-Shift-1]

of Nitrogen is enclosed in a vessel at a temperature of . Th amount of heat required to double the speed of its molecules is _____ cal.Take ) [24-Jun-2022-Shift-1]

All resistances in figure are each. The value of current 'I' is . The value of a is______ [28-Jun-2022-Shift-2]

In figure (A), mass '2 m' is fixed on mass ' ' which is attached to two springs of spring constant . In figure (B), mass ' ' is attached to two springs of spring constant ' ' and ' . If mass ' ' in (A

A wire of length is hanging from a fixed support. The length changes to and when masses and are suspended respectively from its free end. Then the value of is equal to : [29-Jun-2022-Shift-1]

The current density in a cylindrical wire of radius is . The current through the outer portion of the wire between radial distances and is____ [27-Jun-2022-Shift-1]

The ratio of specific heats in terms of degree of freedom (f) is given by : [25-Jun-2022-Shift-2]

If momentum , area and time are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is: [25-Jul-2022-Shift-1]

The torque of a force about the origin is . If the force acts on a particle whose position vector is , then the value of will be [29-Jul-2022-Shift-2]

The total current supplied to the circuit as shown in figure by the battery is _______A. [25-Jun-2022-Shift-1]

A ball of mass is thrown vertically upward. Another ball of mass is thrown at an angle with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by t

In an experiment to find out the diameter of wire using screw gauge, the following observations were noted : (A) Screw moves on main scale in one complete rotation (B) Total divisions on circular scal

A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown in the figure. The radius of path taken by the person is and he takes to comple

A hanging mass is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by force. this

A batsman hits back a ball of mass straight in the direction of the bowler without changing its initial speed of . The impulse imparted to the ball is ____Ns. [26-Jun-2022-Shift-2]

Two projectiles and thrown with speed in the ratio , attain the same height during their motion. If is thrown at an angle of with the horizontal, the angle of projection of with horizontal will be : [

long wire is broken into two unequal parts and . The part of the wire is streched into another wire . Length of is twice the length of and the resistance of is twice that of . Find the ratio of length

A travelling microscope has 20 divisions per on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least cou

A small spherical ball of radius and density falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity of ball does not change and it c

An employee of a factory moving away from his workplace by a car listens to the siren of the factory. He drives the car at the speed of in the direction of wind which is blowing at speed. Frequency of

A person can throw a ball upto a maximum range of . How high above the ground he can throw the same ball? [29-Jun-2022-Shift-2]

Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same s

A mass of is suspended vertically by a rope of length from the roof. A force of is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical i

The Vernier constant of Vernier callipers is and it has zero error of . While measuring diameter of a sphere, the main scale reading is and coinciding vernier division is 5 . The corrected diameter wi

For a perfect gas, two pressures and are shown in figure. The graph shows: [27-Jun-2022-Shift-2]

When a gas filled in a closed vessel is heated by raising the temperature by , its pressure increases by . The initial temperature of the gas is ____ [25-Jun-2022-Shift-2]

Two point charges each are placed at a distance apart. A third point charge q is placed at a distance from mid-point on the perpendicular bisector. The value of at which charge q will experience the m

A parallel plate capacitor is formed by two plates each of area separated by . A material of dielectric strength is filled between the plates. If the maximum charge that can be stored on the capacitor

The current density in a cylindrical wire of radius is . The current through the outer portion of the wire between radial distances and is ; where is____ [27-Jun-2022-Shift-2]

The excess pressure inside a liquid drop is . If the radius of the drop is , the surface tension of liquid is . The value of is____ [30-Jun-2022-Shift-1]

A heat engine operates with the cold reservoir at temperature . The minimum temperature of the hot reservoir, if the heat engine takes heat from the hot reservoir and delivers heat to the cold reservo

A pendulum of length consists of a wooden bob of mass . A bullet of mass is fired towards the stationary bob with a speed . The bullet emerges out of the bob with a speed and the bob just completes th

A potentiometer wire of length and resistance is connected in series with a battery and an external resistance . A cell of emf in secondary circuit is balanced by long potentiometer wire. The value of

In a carnot engine, the temperature of reservoir is and that of sink is . If the work done by the engine when it transfers heat from reservoir to sink is , the quantity of heat absorbed by the engine

A uniform disc with mass and radius is mounted on a fixed horizontal axle as shown in figure. A block with mass hangs from a massless cord that is wrapped around the rim of the disc. During the fall o

A flask contains argon and oxygen in the ratio of in mass and the mixture is kept at . The ratio of their average kinetic energy per molecule respectively will be : [26-Jun-2022-Shift-2]

The escape velocity of a body on a planet ' ' is . The escape velocity of the body on another planet ' ', whose density is four times and radius is half of the planet ' ', is : [29-Jun-2022-Shift-1]

Two massless springs with spring constants and , carry and masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respe

In the given figure of meter bridge experiment, the balancing length corresponding to null deflection of the galvanometer is . The balancing length, if the radius of the wire is doubled, will be _____

An object of mass is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of throughout the motion. The ratio of time of ascent to the time of descent will

A parallel plate capacitor filled with a medium of dielectric constant 10 , is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15 . Th

The efficiency of a Carnot's engine, working between steam point and ice point, will be : [26-Jun-2022-Shift-1]

An expression of energy density is given by , where are constants, is displacement, is Boltzmann constant and is the temperature. The dimensions of will be : [27-Jul-2022-Shift-2]

Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is , then A. The r.m.s. velocity of gas molecules in two vessels will be the same.

The time period of oscillation of a simple pendulum of length suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination , is given by : [29-Jul-2022-Shif

Potential energy as a function of is given by , where is the interatomic distance, A and are positive constants. The equilibrium distance between the two atoms will be : [24-Jun-2022-Shift-2]

A wire of length and radius is clamped rigidly at one end. When the other end of the wire is pulled by a force , its length increases by . Another wire of the same material of length and radius is pul

A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of 'a' will be [29-Jun-20

The pressure and density of diatomic gas changes suddenly to and respectively during an adiabatic process. The temperature of the gas increases and becomes _______ times of its initial temperature. (g

A block of mass is kept stationary on a smooth inclined plane by applying a minimum horizontal force as shown in figure.The value of [25-Jun-2022-Shift-2]

An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound. The percentage change in the frequency will be: [27-Jun-2022-Shift-1]

Identify the pair of physical quantities which have different dimensions: [24-Jun-2022-Shift-1]

Three point charges of magnitude and are located at the vertices of a right angled triangle whose sides are and and point is the right angle corner. Charge at point experiences _________ of electrosta

The equivalent resistance between points and in the given network is : [26-Jun-2022-Shift-2]

In a potentiometer arrangement, a cell gives a balancing point at length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is , the

At , truck, starting from rest, moves in the positive -direction at uniform acceleration of . At , a ball is released from the top of the truck. The ball strikes the ground in after the release. The v

The equation of a particle executing simple harmonic motion is given by . At , the speed of particle will be(Given : ) [27-Jun-2022-Shift-2]

A monkey of mass climbs on a rope which can withstand the tension (T) of . If monkey initially climbs down with an acceleration of and then climbs up with an acceleration of . Choose the correct optio

A block of mass moving on a horizontal surface with speed of enters a rough surface ranging from to . The retarding force in this range of rough surface is related to distance by where . The speed of

Two buses and start from a point at the same time and move in a straight line and their positions are represented by and At what time, both the buses have same velocity? [25-Jun-2022-Shift-2]

The volume charge density of a sphere of radius is . The number of lines of force per unit surface area coming out from the surface of the sphere is .[Given : Permittivity of vacuum ) [25-Jul-2022-Shi

A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height . Find the ratio of the times in which it is at height while going up and coming down respectively. [29-Jul-

As per given figures, two springs of spring constants and are connected to mass . If the period of oscillation in figure (a) is , then the period of oscillation in figure (b) will be . The value of is

Two sources of equal emfs are connected in series. This combination is connected to an external resistance . The internal resistances of the two sources are and . If the potential difference across th

A NCC parade is going at a uniform speed of under a mango tree on which a monkey is sitting at a height of . At any particular instant, the monkey drops a mango. A cadet will receive the mango whose d

Four particles with a mass of and are situated at the corners of a square with side (as shown in the figure). The moment of inertia of the system, about an axis passing through the point and perpendic

The elongation of a wire on the surface of the earth is . The same wire of same dimensions is elongated by on another planet. The acceleration due to gravity on the planet will be ___ . (Take accelera

A resistor develops of thermal energy in , when a current of is passed through it. If the current increases to , the energy developed in is_____J. [25-Jun-2022-Shift-1]

Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the times of amplitude of individua

A uniform chain of length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and th

Given below are two statements :Statement I : When amount of an ideal gas undergoes adiabatic change from state to state , then work done is , where and universal gas constant.Statement II : In the ab

A rolling wheel of is on an inclined plane at position and connected to a mass of through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of

A pressure-pump has a horizontal tube of cross sectional area for the outflow of water at a speed of . The force exerted on the vertical wall just in front of the tube which stops water horizontally f

Two uniformly charged spherical conductors and of radii and are separated by a distance of . If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitud