JEE Main 2024 PYQ

A vector has magnitude same as that of and is parallel to . The and components of this vector in first quadrant are and 3 respectively where ____ [30-Jan-2024 Shift 2]

If two vectors and having equal magnitude are inclined at an angle , then [31-Jan-2024 Shift 2]

Three vectors and each of magnitude are acting as shown in figure. The resultant of the three vectors is . The value of is _______.

The resultant of two vectors and is perpendicular to and its magnitude is half that of . The angle between vectors and is ______.

For three vectors , and if , them value of is _______.

The angle between vector and the resultant of and is:

If and makes an angle with each other, then for The integer value of is ______.

Four identical particles of mass are kept at the four corners of a square. If the gravitational force exerted on one of the masses by the other masses is , the length of the sides of the square is [31

A wire of length and radius is clamped at one end. If its other end is pulled by a force F, its length increases by . If the radius of the wire and the applied force both are reduced to half of their

Choose the correct answer from the options given below : Match List - I with List - II.List - I (Number)List - II (Significant figure)(A) 1001(I) 3(B) 010.1(II) 4(C) 100.100(III) 5(D) 0.0010010(IV) 6

Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and the surface is 0.04 , the acceleration of the system in is :(Consider that the st

Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is : [1-Feb-2024 Shift 1]

Four particles each of mass are placed at four corners of a square of side . Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is____ . [27-Jan

A wire is bend to form a square loop. A battery with internal resistance is connected across one of its sides. If a capacitor is connected across one of its diagonals, the energy stored by the capacit

Resistance of a wire at and is found to be and respectively. The temperature in Kelvin scale is ______.

is the uniform surface charge density of a thin spherical shell of radius . The electric field at any point on the surface of the spherical shell is :

A bullet of mass is fired with a speed on a plywood and emerges with . The percentage loss of kinetic energy is :

A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one

Young's modules of material of a wire of length ' ' and cross-sectional area is . If the length of the wire is doubled and cross-sectional area is halved then Young's modules will be : [30-Jan-2024 Sh

A liquid column of height balances excess pressure of soap bubble of certain radius. If density of liquid is and surface tension of soap solution is , then diameter of the soap bubble is ______ .

A body of mass experiences two forces and . The acceleration acting on the body is : [1-Feb-2024 Shift 2]

An electric charge is placed at origin of co-ordinate system. Two points and are situated at and respectively. The potential difference between the points and will be : [27-Jan-2024 Shift 1]

A sample of gas at temperature is adiabatically expanded to double its volume. Adiabatic constant for the gas is . The work done by the gas in the process is :

A potential divider circuit is shown in figure. The output voltage is [30-Jan-2024 Shift 1]

A simple harmonic oscillator has an amplitude A and time period second. Assuming the oscillation starts from its mean position, the time required by it to travel from to will be , where _____: [29-Jan

A body placed at distance from surface of earth experiences gravitational pull of : ( Radius of earth, )

In an electrical circuit drawn below the amount of charge stored in the capacitor is . [1-Feb-2024 Shift 2]

Given below are two statements:Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter.Statement (II) : Average kinetic energy of gas molecules is

Five charges and are situated as shown in the figure. The electric flux due to this configuration through the surface is :

Escape velocity of a body from earth is . If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the plate is: [30-Jan-2024 Shift 2]

The average kinetic energy of a monatomic molecule is at temperature :(Use ) [27-Jan-2024 Shift 1]

A particle initially at rest starts moving from reference point. along -axis, with velocity that varies as . The acceleration of the particle is____ . [1-Feb-2024 Shift 2]

A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct representation of the velocity time graph for the transit of the ball? [31-Jan-2024 S

A light string passing over a smooth light fixed pulley connects two blocks of masses and . If the acceleration of the system is , then the ratio of masses is [31-Jan-2024 Shift 2]

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is , the length of the closed pipe will be : [31-Jan-2024 Sh

A body of mass ' ' is projected with a speed ' ' making an angle of with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as . The value of

One end of a metal wire is fixed to a ceiling and a load of hangs from the other end. A similar wire is attached to the bottom of the load and another load of hangs from this lower wire. Then the rati

In a closed organ pipe, the frequency of fundamental note is . A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to . If the organ pipe has a cro

A particle is moving in a circle of radius in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at is , the time taken to complete the fir

A diatomic gas does of work when it is expanded isobarically. The heat given to the gas in the process is : [1-Feb-2024 Shift 2]

A light string passing over a smooth light pulley connects two blocks of masses and (where ). If the acceleration of the system is , then the ratio of the masses is :

Two cars are travelling towards each other at speed of each. When the cars are apart, both the drivers apply brakes and the cars retard at the rate of . The distance between them when they come to res

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is , the root mean square velocity of oxygen at the same condition in is : [1-Feb-2024 Shift 2]

A bob of mass ' ' is suspended by a light string of length ' '. It is imparted a minimum horizontal velocity at the lowest point A such that it just completes half circle reaching the top most positio

Given below are two statements :Statement (I) :Viscosity of gases is greater than that of liquids.Statement (II) : Surface tension of a liquid decreases due to the presence of insoluble impurities.In

A heavy iron bar of weight is having its one end on the ground and the other on the shoulder of a man. The rod makes an angle with the horizontal, the weight experienced by the man is : [27-Jan-2024 S

Wheatstone bridge principle is used to measure the specific resistance of given wire, having length , radius . If is the resistance of wire, then specific resistance is : . If the length of the wire g

A particle of mass projected with a velocity ' ' making an angle of with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its m

A wire of resistance and radius is stretched till its radius became . If new resistance of the stretched wire is , then value of is ______.

The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of and at a certain instant. The amplitude of the motion is where is _______.

If the net electric field at point along axis is zero, then the ratio of is ,where ______.

A cyclist starts from the point of a circular ground of radius and travels along its circumference to the point . The displacement of a cyclist is :

In the given figure, the charge stored in capacitor, when points A and B are joined by a connecting wire is ____ . [29-Jan-2024 Shift 2]

A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of is applied on the surface of water in the thinner arm. The force required to be applied on the sur

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius and completes 120 revolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in ) :

A capacitor of capacitance whose plates are separated by through air and each plate has area is now filled equally with two dielectric media of respectively as shown in figure. If new force between th

To measure the internal resistance of a battery, potentiometer is used. For , the balance point is observed at and for the balance point is observed at . The internal resistance of the battery is appr

The pressure and volume of an ideal gas are related as (Constant). The work done when the gas is taken from state to state is : [1-Feb-2024 Shift 1]

The equation of state of a real gas is given by , where and are pressure. volume and temperature respectively and is the universal gas constant. The dimensions of is similar to that of : [27-Jan-2024

Correct Bernoulli's equation is (symbols have their usual meaning) :

If the collision frequency of hydrogen molecules in a closed chamber at is , then the collision frequency of the same system at is :

A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is :

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvano

On celcius scale the temperature of body increases by . The increase in temperature on Fahrenheit scale is:

A galvanometer has a resistance of and it allows maximum current of . It can be converted into voltmeter to measure upto by connecting in series a resistor of resistance [1-Feb-2024 Shift 1]

The reading in the ideal voltmeter (V) shown in the given circuit diagram is : [1-Feb-2024 Shift 1]

A galvanometer having coil resistance shows a full scale deflection for a current of . For it to measure a current of , the value of the shunt should be: [29-Jan-2024 Shift 1]

A body of mass moving with a uniform speed in plane along the line . The angular momentum of the particle about the origin will be ____ . [29-Jan-2024 Shift 2]

Train A is moving along two parallel rail tracks towards north with speed and train B is moving towards south with speed . Velocity of train B with respect to A and velocity of ground with respect to

A total of heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by . The work done by the gas is : (Given, .)

A body starts moving from rest with constant acceleration covers displacement in first ( ) seconds and in first seconds. The displacement will be made in time : [29-Jan-2024 Shift 1]

Two conductors have the same resistances at but their temperature coefficients of resistance are and . The respective temperature coefficients for their series and parallel combinations are : [31-Jan-

Suppose a uniformly charged wall provides a uniform electric field of normally. A charged particle of mass being suspended through a silk thread of length and remain stayed at a distance of from the w

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of for the gas is : [27-Jan-2024 Shift 2]

The co-ordinates of a particle moving in plane are given by : The motion of the particle is :[4 Apr 2024 Shift 1]

Given below are two statements :Statement I : When speed of liquid is zero everywhere, pressure difference at any two points depends on equation Statement II : In ventury tube shown In the light of th

A sonometer wire of resonating length has a fundamental frequency of when kept under some tension. The resonating length of the wire with fundamental frequency of under same tension _______ .

Position of an ant ( in metres) moving in plane is given by (where is in second). The magnitude and direction of velocity of the ant at will be : [27-Jan-2024 Shift 1]

Two charged conducting spheres of radii and are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

Given below are two statements :Statement-I: When a capillary tube is dipped into a liquid, the liquid neither rises nor falls in the capillary. The contact angle may be .Statement-II: The contact ang

With rise in temperature, the Young's modulus of elasticity [1-Feb-2024 Shift 1]

A galvanometer of resistance when connected in series with measures a voltage of upto . The value of resistance required to convert the galvanometer into ammeter to read upto is . The value of is :

An infinitely long positively charged straight thread has a linear charge density . An electron revolves along a circular path having axis along the length of the wire. The graph that correctly repres

To determine the resistance (R) of a wire, a circuit is designed below, The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The valu

There are 100 divisions on the circular scale of a screw gauge of pitch . With no measuring quantity in between the jaws, the zero of the circular scale lies 5 divisions below the reference line. The

Two thermodynamical process are shown in the figure. The molar heat capacity for process and are and . The molar heat capacity at constant pressure and constant volume are represented by and , respect

Two identical conducting spheres and with charge on each, repel each other with a force . A third identical uncharged conducting sphere is successively brought in contact with the two spheres. The new

A thin metallic wire having cross sectional area of is used to make a ring of radius . A positive charge of is uniformly distributed over the ring, while another positive charge of 30 is kept at the c

In the given circuit, the current flowing through the resistance is , while the ammeter reads 0.9 A. The value of is_____ . [29-Jan-2024 Shift 2]

In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are and respectively. If the wing area is the lift of the wing is _______ .(Given

The charge accumulated on the capacitor connected in the following circuit is ____ Given [27-Jan-2024 Shift 1]

A force displaces a body from to . Work done by this force is ............J.

In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division 49 MSD; 20 divisions on main scale in each For mark on paper

At the centre of a half ring of radius and linear charge density , the potential is . The value of is _____

A closed organ pipe long gives 7 beats per second with an open organ pipe of length , both vibrating in fundamental mode. The velocity of sound is _____ . [27-Jan-2024 Shift 2]

In an ammeter, of the main current passes through the galvanometer. If resistance of the galvanometer is , the resistance of ammeter will be : [1-Feb-2024 Shift 2]

An electric bulb rated is connected across a supply. The power dissipation of the bulb is :

Applying the principle of homogeneity of dimensions, determine which one is correct. where is time period, is gravitational constant, is mass, is radius of orbit.[4 Apr 2024 Shift 2]

A player caught a cricket ball of mass moving at a speed of . If the catching process is completed in , the magnitude of force exerted by the ball on the hand of the player is:

The distance between charges and is and between and is . The electrostatic potential at point at a distance from centre is , where the value of is (Use [31-Jan-2024 Shift 2]

A particle moves in a straight line so that its displacement at any time is given by . Its acceleration at any time is where ______.[6 Apr 2024 Shift 2]

Three blocks having masses and respectively are hanging from a smooth pully using rope 1,2 and 3 as shown in figure. The tension in the rope when they are moving upward with acceleration of is .......

Least count of a vernier caliper is . The value of one division on the main scale is . Then the number of divisions of main scale that coincide with divisions of vernier scale is :[8 Apr 2024 Shift 2]

In the given circuit, the terminal potential difference of the cell is :

A capacitor has air as dielectric medium and two conducting plates of area and they are apart. When a slab of dielectric having area and thickness is inserted between the plates, one of the conducting

In an expression :[8 Apr 2024 Shift 1]

A block of mass slides over a distance of on a horizontal surface. If the co-efficient of friction between the surfaces is 0.4 , then the work done against friction (in ) is : [29-Jan-2024 Shift 1]

A cricket player catches a ball of mass moving with speed. If the catching process is completed in then the magnitude of force exerted by the ball on the hand of player will be (in SI unit): [1-Feb-20

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass is : [30-Jan-2024 Shift 1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R ).Assertion (A) : The angular speed of the moon in its orbit about the earth is more than the a

The heat absorbed by a system in going through the given cyclic process is:

A body of mass is lifted to a height of from the ground in the two different ways as shown in the figures. The ratio of work done against the gravity in both the respective cases, will be:

The equation of stationary wave is : Which of the following is NOT correct[4 Apr 2024 Shift 1]

Two persons pull a wire towards themselves. Each person exerts a force of on the wire. Young's modulus of the material of wire is . Original length of the wire is and the area of cross section is . Th

A metal wire of uniform mass density having length and mass is bent to form a semicircular arc and a particle of mass is placed at the centre of the arc. The gravitational force on the particle by the

In the given circuit, the current in resistance is : [29-Jan-2024 Shift 2]

Two metallic wires and have same volume and are made up of same material. If their area of cross sections are in the ratio and force is applied to , an extension of is produced. The force which is req

Pressure inside a soap bubble is greater than the pressure outside by an amount :(given : Radius of bubble, Surface tension of bubble)

When a potential difference is applied across a wire of resistance , it dissipates energy at a rate . If the wire is cut into two halves and these halves are connected mutually parallel across the sam

A coin is placed on a disc. The coefficient of friction between the coin and the disc is . If the distance of the coin from the center of the disc is , the maximum angular velocity which can be given

Match list-I with list-II List-I List-II (A) Kinetic energy of planet (I) (B) Gravitation Potentialenergy of Sun-planetsystem. (II) (C) Total mechanical energy of planet (III) (D) Escape energy at the

If is the radius of the earth and the acceleration due to gravity on the surface of earth is , then the length of the second's pendulum at a height from the surface of earth will be,: [1-Feb-2024 Shif

The number of electrons flowing per second in the filament of a bulb operating at is : (Given e )

Given below are two statements :Statement I : The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well.Statement II : The rise of a liquid in a capi

The ratio of heat dissipated per second through the resistance and in the circuit given below is :

A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is where is [27-Jan-2

The reading of pressure metre attached with a closed pipe is . On opening the valve, water starts flowing and the reading of pressure metre falls to . The velocity of water is found to be . The value

A stone of mass is tied to a string and moved in a vertical circle of radius making . The tension in the string, when the stone is at the lowest point is (if and ) [29-Jan-2024 Shift 2]

The radius (r), length and resistance (R) of a metal wire was measured in the laboratory as The percentage error in resistivity of the material of the wire is : [1-Feb-2024 Shift 1]

The value of unknown resistance (x) for which the potential difference between and will be zero in the arrangement shown, is :

A current of deflects the coil of a moving coil galvanometer through . The current to cause deflection through radian is : [27-Jan-2024 Shift 2]

A heavy box of mass is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is :

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is , the Vernier constant of travelling microscope is: [30-Jan-2024 Shift

The displacement and the increase in the velocity of a moving particle in the time interval of to are and , respectively. The distance travelled by the particle in is ____ . [30-Jan-2024 Shift 1]

Two identical charged spheres are suspended by string of equal lengths. The string make an angle of with each other. When suspended in a liquid of density , the angle remains same. If density of mater

A spherical ball of radius and density falls freely under gravity through a distance before entering a tank of water, If after entering in water the velocity of the ball does not change, then the valu

If the percentage errors in measuring the length and the diameter of a wire are each. The percentage error in measuring its resistance will be: [31-Jan-2024 Shift 1]

When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be :

A satellite revolving around a planet in stationary orbit has time period 6 hours. The mass of planet is one-fourth the mass of earth. The radius orbit of planet is : (Given Radius of geo-stationary o

A cube of ice floats partly in water and partly in kerosene oil. The radio of volume of ice immersed in water to that in kerosene oil (specific gravity of Kerosene oil , specific gravity of ice )

An electric field, passes through the surface of area having unit vector . The electric flux for that surface is _______ .

The potential energy function (in J) of a particle in a region of space is given as . Here and are in meter. The magnitude of - component of force (in ) acting on the particle at point is : [29-Jan-20

A diatomic gas does of work in an isobaric expansion. The heat given to the gas is:

A cylinder is rolling down on an inclined plane of inclination . It's acceleration during rolling down will be , where ______ (use ). [29-Jan-2024 Shift 1]

A sample of 1 mole gas at temperature is adiabatically expanded to double its volume. If adiabatic constant for the gas is , then the work done by the gas in the process is:

The density and breaking stress of a wire are and respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is of the value on the surface of earth. The ma

A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string is , then the time period of small oscillations will

A vernier callipers has 20 divisions on the vernier scale, which coincides with division on the main scale. The least count of the instrument is . One main scale division is equal to ______ .[5 Apr 20

A galvanmeter has a coil of resistance with a full scale deflection at . The value of resistance to be added to use it as an ammeter of range is:

The relation between time ' ' and distance ' ' is , where and are constants. The relation between acceleration (a) and velocity (v) is: [31-Jan-2024 Shift 1]

The measured value of the length of a simple pendulum is with accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in th

A particle is doing simple harmonic motion of amplitude and time period . The maximum velocity of the particle is ______ .

Given below are two statements:Statement I : If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.Statement II : If a ca

If average depth of an ocean is and the bulk modulus of water is , then fractional compression of water at the bottom of ocean is . The value of is________ (Given, ) [27-Jan-2024 Shift 1]

Young's modulus is determined by the equation given by where is the mass and is the extension of wire used in the experiment. Now error in Young modules is estimated by taking data from plot in graph

A ball of mass is attached to a string of length . The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is . The maximum possible val

A particle moving in a circle of radius with uniform speed takes time to complete one revolution. If this particle is projected with the same speed at an angle to the horizontal, the maximum height at

air is heated at constant volume through . The specific heat of air at constant volume is and joule . The change in its internal energy is approximately. [27-Jan-2024 Shift 1]

A parallel plate capacitor with plate separation 5 is charged up by a battery. It is found that on introducing a dielectric sheet of thickness , while keeping the battery connections intact, the capac

To find the spring constant (k) of a spring experimentally, a student commits positive error in the measurement of time and negative error in measurement of mass. The percentage error in determining v

The mass of the moon is times the mass of a planet and its diameter times the diameter of a planet. If the escape velocity on the planet is , the escape velocity on the moon will be: [31-Jan-2024 Shif

A charge is placed at the center of one of the surface of a cube. The flux linked with the cube is :-

The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to 10 divisions of vernier scale. The shortest division on the main scale is equal to . The main

A parallel plate capacitor of capacitance is charged by a battery connected between its plates to potential difference of . The battery is now disconnected and a dielectric slab is inserted between th

P-T diagram of an ideal gas having three different densities (in three different cases) is shown in the figure. Which of the following is correct :

A mass is suspended from the ceiling by a rope of length . A horizontal force ' ' is applied at the mid point of the rope so that the rope makes an angle of with respect to the vertical axis as shown

The equivalent resistance between and is:

Correct formula for height of a satellite from earths surface is :

Consider two physical quantities and related to each other as where and have dimensions of energy, length and time respectively. The dimension of is [31-Jan-2024 Shift 2]

A galvanometer of resistance connected in the given circuit. The ratio of charge stored in and is : [1-Feb-2024 Shift 2]

The bob of a pendulum was released from a horizontal position. The length of the pendulum is . If it dissipates of its initial energy against air resistance, the speed with which the bob arrives at th

Two identical spheres each of mass and radius are fixed at the ends of a light rod so that the separation between the centers is . Then, moment of inertia of the system about an axis perpendicular to

A simple pendulum doing small oscillations at a place height above earth surface has time period of would be it's time period if is brought to a point which is at a height from earth surface. Choose t

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of is applied. The resistance of galvanometer coil will be : [29-Jan-2024 Shift 1]

The electrostatic potential due to an electric dipole at a distance ' ' varies as : [30-Jan-2024 Shift 1]

An astronaut takes a ball of mass from earth to space. He throws the ball into a circular orbit about earth at an altitude of . From earth's surface to the orbit, the change in total mechanical energy

Water boils in an electric kettle in 20 minutes after being switched on. Using the same main supply, the length of the heating element should be ............ to ............ times of its initial lengt

A particle of mass moves on a straight line with its velocity increasing with distance according to the equation , where is a constant. The total work done by all the forces applied on the particle du

A small spherical ball of radius , falling through a viscous medium of negligible density has terminal velocity ' '. Another ball of the same mass but of radius , falling through the same viscous medi

A heater is designed to operate with a power of in a line. It is connected in combination with a resistance of and a resistance , to a mains as shown in figure. For the heater to operate at , the valu

Two planets and having masses and move around the sun in circular orbits of and radii respectively. If angular momentum of is and that of is , the ratio of time period is:

10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each division on the main scale is of 5 units, the least count of the instrument is : [1-Feb-20

Two forces and are acting on a body. One force has magnitude thrice that of the other force and the resultant of the two forces is equal to the force of larger magnitude. The angle between and is . Th

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature . The ratio of specific heat of gases at constant volume respectively is:

The speed of sound in oxygen at S.T.P. will be approximately:(Given, ) [31-Jan-2024 Shift 2]

An infinite plane sheet of charge having uniform surface charge density is placed on plane. Another infinitely long line charge having uniform linear charge density is placed at plane and parallel to

A satellite of mass is revolving in circular orbit of radius . If energy is supplied to the satellite, it would revolve in a new circular orbit of radius :(use radius of earth)

Given below are two statements: one is labelled as Assertion(A) and the other is labelled as Reason (R).Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurement

Given below are two statements : one is labelled aAssertion (A) and the other is labelled as Reason(R)Assertion (A) : Work done by electric field on moving a positive charge on an equipotential surfac

A bullet is fired into a fixed target looses one third of its velocity after travelling . It penetrates further before coming to rest. The value of is : [27-Jan-2024 Shift 2]

Three capacitors of capacitances and are connected in parallel to a supply of 100 V. Energy stored in the above combination is E. When these capacitors are connected in series to the same supply, the

The electric current through a wire varies with time as t. where and . The amount of electric charge crossed through a section of the wire in is : [29-Jan-2024 Shift 1]

A small liquid drop of radius is divided into 27 identical liquid drops. If the surface tension is , then the work done in the process will be : [29-Jan-2024 Shift 2]

A wire of resistance and length is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be : [27-Jan-2024 Shift 1]

Match List-I with List-II. List-I List-II A. Coefficient of viscosity I. { } B. Surface Tension II. { } C. Angular momentum III. { } D. Rotational kinetic energy IV. { } [30-Jan-2024 Shift 1]

The dimensional formula of latent heat is:[9 Apr 2024 Shift 1]

A wooden block of mass rests on soft horizontal floor. When an iron cylinder of mass 25 is placed on the top of the block, the floor yields and the block and the cylinder together go down with an acce

Given below are two statements :Statement (I) : Planck's constant and angular momentum have same dimensions.Statement (II) : Linear momentum and moment of force have same dimensions.In the light of th

A thermodynamic system is taken from an original state to an intermediate state by a linear process as shown in the figure. It's volume is then reduced to the original value from to by an isobaric pro

A clock has long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel distance more than the tip of minute hand. The value of in meter is nearly (Take ):

In the following circuit, the battery has an emf of 2 and an internal resistance of . The power consumption in the entire circuit is_______ W. [31-Jan-2024 Shift 2]

A particle executes simple harmonic motion with an amplitude of . At the mean position, velocity of the particle is . The distance of the particle from the mean position when its speed becomes is , wh

A train is moving with a speed of on rails which are apart. To negotiate a curve radius , the height by which the outer rail should be raised with respect to the inner rail is (Given, ): [27-Jan-2024

A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when its displacement is . The new amplitude of motion is . The value of is___ [31-Jan-

In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in the order of:

Force between two point charges and placed in vacuum at ' ' apart is F. Force between them when placed in a medium having dielectric at ' ' apart will be: [31-Jan-2024 Shift 2]

Two discs of moment of inertia and about their central axes & normal to their planes, rotating with angular speeds & respectively are brought into contact face to face with their axe of rotation coinc

A mass is suspended from a spring of negligible mass and the system oscillates with a frequency . The frequency of oscillations if a mass is suspended from the same spring is . The value of is [1-Feb-

If a rubber ball falls from a height and rebounds upto the height of . The percentage loss of total energy of the initial system as well as velocity ball before it strikes the ground, respectively, ar

If mass is written as then the value of will be : (Constants have their usual meaning with a dimensionless constant) [30-Jan-2024 Shift 2]

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble lis :

A body of mass begins to move under the action of a time dependent force given by . The power developed by the force at the time is given by: [31-Jan-2024 Shift 2]

A particle of mass executes simple harmonic motion under force . The time period of oscillation is . The value of is ______ . (Given )

Two vessels A and B are of the same size and are at same temperature. A contains of hydrogen and contains of oxygen. and are the pressures of the gases in A and respectively, then is : [29-Jan-2024 Sh

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of as shown in figureThe tensions and in the string are respectively: [30-Jan-2024 Shift 2]

A block of mass is placed on a rough inclined surface as shown in the figure.If is the force required to just move the block up the inclined plane and is the force required to just prevent the block f

A body of slides from rest along the curve of vertical circle from point to in friction less path. The velocity of the body at is :(given, and )

In a metre-bridge when a resistance in the left gap is and unknown resistance in the right gap, the balance length is found to be . On shunting the unknown resistance with , the balance length changes

Three bodies A, B and have equal kinetic energies and their masses are and respectively. The ratio of their linear momenta is :

An electric field is given by . The electric flux through a surface area lying in YZ-plane (in SI unit) is : [29-Jan-2024 Shift 2]

The electric field between the two parallel plates of a capacitor of capacitance drops to one third of its initial value in s when the plates are connected by a thin wire. The resistance of this wire

By what percentage will the illumination of the lamp decrease if the current drops by ? [31-Jan-2024 Shift 2]

A body falling under gravity covers two points A and separated by in . The distance of upper point A from the starting point is____ use [27-Jan-2024 Shift 2]

The current flowing through the resistor is The value of is ______.

The time period of simple harmonic motion of mass in the given figure is , where the value of is _____ [31-Jan-2024 Shift 2]

A wire of cross sectional area A, modulus of elasticity and length is stretched between two vertical rigid supports. When a mass of is suspended at the middle it sags lower from its original position

moles of a polyatomic gas must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of is : [29-Jan-2024 Shift 2]

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across and , their readings are and . Choose the correct option. [2

Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point is . The value of is _____ (all quantities are measured in SI units).

A particle is moving in a straight line. The variation of position ' ' as a function of time ' ' is given as . The velocity of the body when its acceleration becomes zero is : [29-Jan-2024 Shift 2]

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are and respectively. After inserting in a hot bath of temperature , the resistance of platin

An electric toaster has resistance of at room temperature . The toaster is connected to a supply. If the current flowing through it reaches , the temperature attained by toaster is around : (if ) [30-

A ball rolls off the top of a stairway with horizontal velocity . The steps are high and wide. The minimum velocity with which that ball just hits the step 5 of the stairway will be where ________ [us

In the given arrangement of a doubly inclined plane two blocks of masses and are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction b

The resistance per centimeter of a meter bridge wire is , with resistance in left gap. Balancing length from left end is at with resistance in right gap. Now the wire is replaced by another wire of re

Small water droplets of radius are formed in the upper atmosphere and falling with a terminal velocity of . Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new term

A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time . Which of the following curve best describes acceleration of the block with time :

The temperature of a gas is and the average translational kinetic energy of its molecules is . The temperature at which the average translational kinetic energy of the molecules of the same gas become

Energy of 10 non rigid diatomic molecules at temperature is :

A force is represented by Where distance and time. The dimensions of are : [31-Jan-2024 Shift 1]

A block of ice at is slowly heated and converted to steam at . Which of the following curves represent the phenomenon qualitatively: [30-Jan-2024 Shift 2]

A small ball of mass and density is dropped in a viscous liquid of density . After sometime, the ball falls with constant velocity. The viscous force on the ball is :

If three moles of monoatomic gas is mixed with two moles of a diatomic gas , the value of adiabatic exponent for the mixture is: [30-Jan-2024 Shift 2]

The temperature of a gas having molecules per cubic meter at (Given, is : [29-Jan-2024 Shift 2]

Two satellite A and B go round a planet in circular orbits having radii and respectively. If the speed of is , the speed of will be :

A body moves on a frictionless plane starting from rest. If is distance moved between and and is distance moved between and , then the ratio is for . The value of is _______[5 Apr 2024 Shift 1]

Given below are two statements :Statement (I) : The limiting force of static friction depends on the area of contact and independent of materials.Statement (II) : The limiting force of kinetic frictio

Two charges of and are placed at the points and located in an electric field . The magnitude of the torque acting on the dipole is , Where ____ [27-Jan-2024 Shift 2]

A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is [31-Jan-2024 Shift 2]

A physical quantity is found to depend on quantities by the relation . The percentage error in a, b and are and respectively. Then, the percentage error in is : [29-Jan-2024 Shift 2]

The electric field at point due to an electric dipole is . The electric field at point on equitorial line will be . The value of :

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in . If it is projected vertically downwards from the same point with the same speed, it reaches the

A simple pendulum of length has a wooden bob of mass . It is struck by a bullet of mass moving with a speed of . The bullet gets embedded into the bob. The height to which the bob rises before swingin

The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by is ______ .(Take density of sea water , Bulk modulus of rubber , and ) [31-Jan-2024 Shift 1]

The total kinetic energy of 1 mole of oxyge is :[Use universal gas constant [27-Jan-2024 Shift 2]

When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is , where ____ [29-Jan-2024 Shift 1]

The effective resistance between and , if resistance of each resistor is , will be

Two wires and are made up of the same material and have the same mass. Wire A has radius of and wire has radius of . The resistance of wire B is . The resistance of wire is ______ .

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become : [1-Feb-2024 Shift 2]

A block of mass is placed on a surface having vertical cross section given by . If coefficient of friction is 0.5 , the maximum height above the ground at which block can be placed without slipping is

A train starting from rest first accelerates uniformly up to a speed of for time , then it moves with a constant speed for time 3t. The average speed of the train for this duration of journey will be

Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as and . The arithmetic mean of these reading in correct significant figure is.[5 A

While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is and circular scale reading is equal to 42 divisions. Pitch of screw gauge is and it has 100

A particle moving in a straight line covers half the distance with speed . The other half is covered in two equal time intervals with speeds 9 and respectively. The average speed of the particle durin

The current in a conductor is expressed as , where is in Ampere and is in second. The amount of electric charge that flows through a section of the conductor during to is _______C. [1-Feb-2024 Shift 1

In simple harmonic motion, the total mechanical energy of given system is . If mass of oscillating particle is doubled then the new energy of the system for same amplitude is :

A light planet is revolving around a massive star in a circular orbit of radius with a period of revolution . If the force of attraction between planet and star is proportional to then choose the corr

Two open organ pipes of length and resonate at and harmonics respectively. The difference of frequencies for the given modes is _______ .(Velocity of sound in air )

A particle is placed at the point of a frictionless track as shown in figure. It is gently pushed toward right. The speed of the particle when it reaches the point is : Take . [30-Jan-2024 Shift 1]

A plane is in level flight at constant speed and each of its two wings has an area of . If the speed of the air is over the lower wing surface and over the upper wing surface, the mass of the plane is

Consider a Disc of mass , radius , rotating with angular velocity of about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating disc along the same axis.

A big drop is formed by coalescing 1000 small identical drops of water. If be the total surface energy of 1000 small drops of water and be the surface energy of single big drop of water, the : is wher

Choose the correct answer from the options given below : LIST I LIST II A. Torque II. B. Magnetic field II. C. Magnetic moment III. D. Permeability offree space IV. [6 Apr 2024 Shift 1]

The given figure represents two isobaric processes for the same mass of an ideal gas, then [31-Jan-2024 Shift 1]

A body of weight is suspended form a tree branch thought a chain of mass . The branch pulls the chain by a force equal to (if ):

The acceleration due to gravity on the surface of earth is . If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface o

An object of mass executes simple harmonic motion along axis with frequency of . At the position the object has kinetic energy and potential energy . The amplitude of oscillation is ______ .

The volume of an ideal gas is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:

If is the number density and is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :

A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is . The value of is ______.

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of for the gas is :

The translational degrees of freedom ( and rotational degrees of freedom of molecule are :

An electric field exists in space. cube of side is placed in the space as per figure given below. The electric flux through the cube is .

A block of mass is pushed up a surface inclined to horizontal at an angle of by a force of parallel to the inclined surface as shown in figure. When the block is pushed up by along inclined surface, t

A sphere of relative density and diameter has concentric cavity of diameter . The ratio of , if it just floats on water in a tank is:

Given below are two statements :Statement (I) : Dimensions of specific heat is Statement (II) : Dimensions of gas constant is

Each of three blocks and shown in figure has a mass of . Each of the wire A and B has cross-sectional area and Young's modulus . Neglecting friction, the longitudinal strain on wire is ____ . Take ) [

Two blocks of mass and are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is and Young's modulus of the metal is . The longitudinal strain developed in the

The vehicles carrying inflammable fluids usually have metallic chains touching the ground :

Two charges of and are situated at the points and respectively. The electric flux through a sphere of radius ' ' having center at origin is : [29-Jan-2024 Shift 1]

A particle starts from origin at with a velocity and moves in plane under action of a force which produces a constant acceleration of . If the -coordinate of the particle at that instant is , then the

Two resistance of and are connected in series with a battery of and negligible internal resistance. A voltmeter is used to measure voltage across resistance, which gives reading as . The resistance of

A body travels in second and in second. The acceleration is :[4 Apr 2024 Shift 1]

A tuning fork resonates with a sonometer wire of length stretched with a tension of . When the tension in the wire is changed to , the same tuning fork produces 12 beats per second with it. The freque

The dimensional formula of angular impulse is : [1-Feb-2024 Shift 1]

Two charges and are separated by a distance ' ' in air. At a distance from charge , the resultant electric field is zero. The value of is : [31-Jan-2024 Shift 1]

To project a body of mass from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is acceleration due to gravity on the surface of earth) :

Four particles A, B, C, D of mass , have same momentum, respectively. The particle with maximum kinetic energy is :

A brick begins to slide over a surface which is inclined at an angle of with respect to horizontal axis. The co-efficient of static friction between their surfaces is :

The angle of projection for a projectile to have same horizontal range and maximum height is :[8 Apr 2024 Shift 2]

Match List-I with List-II : List-IEM-Wave List-IIWavelengthRange (A) A force that restores an elastic body of unit area to its original state (I) Bulk modulus (B) Two equal and opposite forces paralle

Twelve wires each having resistance are joined to form a cube. A battery of emf is joined across point and . The voltage difference between and is ________ V.

A real gas within a closed chamber at undergoes the cyclic process as shown in figure. The gas obeys equation for the path to . The net work done in the complete cycle is (assuming ):

In the given figure an ammeter consists of a coil connected in parallel to a shunt. The reading of the ammeter is ______ .

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is :

A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is then the value of is ______.

At room temperature , the resistance of a heating element is . The temperature coefficient of the material is . The temperature of the element, when its resistance is , is ______ .

A particle of charge ' ' and mass ' ' moves in a circle of radius ' ' around an infinitely long line charge of linear density ' '. Then time period will be given as:(Consider k as Coulomb's constant)

One main scale division of a vernier caliper is equal to units. If division of main scale coincides with division of vernier scale, the least count of the vernier caliper is:[9 Apr 2024 Shift 1]

An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet having surface charge density . The electron at is at a distance of from and has a speed of

A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle of thread deflection in the extreme posit

A heavy iron bar, of weight is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle with the horizontal. The weight experienced by the person is:

A car of is taking turn on a banked road of radius and angle of banking . If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely :

A bus moving along a straight highway with speed of is brought to halt within after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _____

The specific heat at constant pressure of a real gas obeying equation is :

If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of earth will be ______ hours 30 minutes.

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at ? [30-Jan-2024 Shift 1]

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle with each other. When suspended in water the angle remains the same. If density of the material of th

Assuming the earth to be a sphere of uniform mass density, a body weighed on the surface of earth. How much it would weigh at depth under surface of earth?

The gravitational potential at a point above the surface of earth is and the acceleration due to gravity at that point is . Assume that the mean radius of earth to be . The height of this point above

A soap bubble is blown to a diameter of . of work is done in blowing it further. If surface tension of soap solution is then the new radius is _______ . Take .

An elastic spring under tension of has a lengtha. Its length is b under tension . For its length , the value of tension will be ________ .

If is the permittivity of free space and is the electric field, then has the dimensions :[8 Apr 2024 Shift 2]

The displacement of a particle executing SHM is given by . The time period of motion is . The velocity of the particle at is _______ .

and are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as shown in figure. The ratio of electric flux passing through and is : [1-Feb-2024 Shift 2]

Projectiles A and B are thrown at angles of and with vertical respectively from top of a high tower. If their ranges and times of flight are same, the ratio of their speeds of projection is : [30-Jan-

A body of mass thrown horizontally with velocity from the top of the tower of height touches the ground at a distance of from the foot of the tower. A body of mass thrown at a velocity from the top of

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is and the height is , the capacitance of the arrangement i

A given object takes times the time to slide down rough inclined plane as it takes the time to slide down an identical perfectly smooth inclined plane. The coefficient of kinetic friction between the

The parameter that remains the same for molecules of all gases at a given temperature is : [31-Jan-2024 Shift 1]

At what distance above and below the surface of the earth a body will have same weight, (take radius of earth as R.) [29-Jan-2024 Shift 1]

A wire of resistance is divided into 10 equal parts. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent

The resistance where and , the percentage error in the measurement of is : [29-Jan-2024 Shift 1]

A point source is emitting sound waves of intensity at the origin. The difference in intensity (magnitude only) at two points located at a distances of and from the origin respectively will be______ .

A light unstretchable string passing over a smooth light pulley connects two blocks of masses and . If the acceleration of the system is , then the ratio of the masses is:

A particle is moving in one dimension (along axis) under the action of a variable force. It's initial position was right of origin. The variation of its position (x) with time (t) is given as , where

Two different adiabatic paths for the same gas intersect two isothermal curves as shown in diagram. The relation between the ratio and the ratio is:

The de-Broglie wavelength associated with a particle of mass and energy is . The dimensional formula for Planck's constant is :[9 Apr 2024 Shift 2]

A capacitor of capacitance and potential has energy E. It is connected to another capacitor of capacitance and potential . Then the loss of energy is , where is____ [30-Jan-2024 Shift 1]

The maximum height reached by a projectile is . If the initial velocity is halved, the new maximum height of the projectile is ______ .[5 Apr 2024 Shift 2]

If the radius of curvature of the path of two particles of same mass are in the ratio , then in order to have constant centripetal force, their velocities will be in the ratio of: [29-Jan-2024 Shift 1

If be the gravitational constant and be the energy density then which of the following quantity have the dimension as that the :

Choose the correct statement for processes A & B shown in figure. [30-Jan-2024 Shift 2]

Two identical capacitors have same capacitance . One of them is charged to the potential V and other to the potential . The negative ends of both are connected together. When the positive ends are als

A plane progressive wave is given by . The frequency of the wave is :

Equivalent resistance of the following network is . [31-Jan-2024 Shift 1]

In the given figure and . Battery is ideal with emf . Equivalent resistant of the circuit and current supplied by battery are respectively.

Two cells are connected in opposition as shown. Cell is of emf and internal resistance; the cell is of emf and internal resistance. The terminal potential difference of cell is: [30-Jan-2024 Shift 1]

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)Assertion (A) : The property of body, by virtue of which it tends to regain its original shape w

Mercury is filled in a tube of radius up to a height of . The force exerted by mercury on the bottom of the tube is _______ .(Given, atmospheric pressure , density of mercury , )

What is the dimensional formula of in the equation , where letters have their usual meaning.[5 Apr 2024 Shift 2]

A wire of length and radius connected across the right gap of a meter bridge. When a resistance of is connected on the left gap by using a resistance box, the balance length is found to be at from the

A body is moving unidirectionally under the influence of a constant power source. Its displacement in time is proportional to :

The electric potential at the surface of an atomic nucleus of radius is ____ [27-Jan-2024 Shift 2]

A particle moves in -y plane under the influence of a force such that its linear momentum is . If is constant, the angle between and will be :