JEE Main 2025 PYQ

Two particles are located at equal distance from origin. The position vectors of those are represented by and , respectively. If both the vectors are at right angle to each other, the value of is_____

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance as shown in the figure. An external resistance of as connected via the sliding contact. The electric cur

Electric charge is transferred to an irregular metallic disk as shown in figure. If and are charge densities at given points then, choose the correct answer from the options given below: A. B. C. D. E

The energy of a system is given as , where is the time and . The errors in the measurement of and are and , respectively. At , maximum percentage error in the energy is : [23 Jan 2025 Shift 2]

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of at the top. Considering infinitesimally small displacement in the upper edge, the angular dis

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is . The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density . If the pressure inside the bubble is greater than the atmospheric pressure, then the surface ten

The electric field in a region is given by . The flux of the field through a rectangular surface parallel to plane is . The area of the surface is .

An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density . Choose the correct option from the following.

A body of mass is suspended by two strings making angles and with the horizontal ceiling with tensions and simultaneously. and are related by , the angles and are

A helicopter flying horizontally with a speed of 360 at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point after it is dropped. Displacement of ' ' from the pos

Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage a

A block of mass 1 kg , moving along with speed enters a rough region ranging from to . The retarding force acting on the block in this range is , with . Then the final speed of the block as it crosses

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): Knowing initial position and initial momentum is enough to determine the positio

Two infinite identical charged sheets and a charged spherical body of charge density ' ' are arranged as shown in figure. Then the correct relation between the electrical fields at and points is

Which one of the following is the correct dimensional formula for the capacitance in F ? , T and C stand for unit of mass, length, time and charge,

A bead of mass ' ' slides without friction on the wall of a vertical circular hoop of radius ' ' as shown in figure. The bead moves under the combined action of gravity and a massless spring ( ) attac

Match List-I with List-II. List-I List-II a. Mass density (i) b. Impulse (ii) c. Power (iii) d. Moment of inertia (iv) Choose the correct answer from the options given below : [7 Apr 2025 Shift 2]

Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area . It has a small hole in its side at a height 90 cm from the bottom. Assume, the cross-sectional area of t

A line charge of length ' ' is kept at the center of an edge of a cube having edge length ' ' as shown in the figure. If the density of line charge is per unit length, then the total electric flux thr

A body of mass 4 kg is placed on a plane at a point having coordinates . Under the action of force , it moves to a new point having coordinates in 4 sec . The average power and instantaneous power at

The excess pressure inside a soap bubble in air is half the excess pressure inside another soap bubble in air. If the volume of the bubble is times the volume of the bubble , then, the value of is .

A point particle of charge is located at along the axis of an electric dipole 1 at a distance as shown in the figure. The point is also on the equatorial plane of a second electric dipole 2 at a dista

Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to the molecules at the surface, of a liquid. B. As the temperature of liquid

A point charge causes an electric flux of to pass through a spherical Gaussian surface of 8.0 cm radius, centred on the charge. The value of the point charge is: (Given )

The velocity a time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between to ?[28 Jan 2025 Shift 2]

Consider a circular loop that is uniformly charged and has a radius . Find the position along the positive -axis of the cartesian coordinate system where the electric field is maximum if the ring was

Two bodies and of equal mass are suspended from two massless springs of spring constant and , respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the ma

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that

An object of mass ' ' is projected from origin in a vertical plane at an angle with the - axis with an initial velocity . The magnitude and direction of the angular momentum of the object with respect

List-I List-II (A) Electric field inside (distance from center) of a uniformly charged spherical shell with surface charge density , and radius . (I) (B) Electric field at distance from a uniformly ch

For an experimental expression , where all the digits are significant. Then to report the value of we should write[24 Jan 2025 Shift 1]

A parallel plate capacitor has charge . A dielectric slab is inserted between the plates and almost fills the space between the plates. If the induced charge on one face of the slab is then the dielec

A parallel-plate capacitor of capacitance is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant . Due to the i

Two projectiles are fired with same initial speed from same point on ground at angles of and , respectively, with the horizontal direction. The ratio of their maximum heights attained is : [29 Jan 202

There are number of identical electric bulbs, each is designed to draw a power independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the

If denotes the permittivity of free space and is the flux of the electric field through the area bounded by the closed surface, then dimensions of are that of:

Consider a parallel plate capacitor of area (of each plate) and separation ' ' between the plates. If is the electric field and is the permittivity of free space between the plates, then potential ene

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason ( R ).Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 time

A body of mass 2 kg moving with velocity of enters into a constant force field of 6 N directed along positive -axis. If the body remains in the field for a period of seconds, then velocity of the body

A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown in figure. The velocity of the body at point is . The ratio of its kinetic energies at point and is(Take accele

Displacement of a wave is expressed as . The wavelength of the wave when its velocity is is :

Two small spherical balls of mass 10 g each with charges and , are attached to two ends of very light rigid rod of length 20 cm . The arrangement is now placed near an infinite nonconducting charge sh

A quantity is formulated as and are independent parameters which have fractional errors of and 0.5 , respectively in measurement. The maximum fractional error of is[8 Apr 2025 Shift 2]

The battery of a mobile phone is rated as 4.2 V , 5800 mAh . How much energy is stored in it when fully charged?

The value of current in the electrical circuit as given below, when potential at is equal to the potential at , will be ______ A.

A dipole with two electric charges of magnitude each, with separation distance , is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the

The pair of physical quantities not having same dimensions is : [29 Jan 2025 Shift 1]

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of . The value of and are : [4 Apr 2025 Shift 2]

A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constants and , as shown in figures. The distance between the plates is and area of each plate is . If capacitanc

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The radius vector from the Sun to a planet sweeps out equal areas in equal int

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by t

In the experiment for measurement of viscosity ' ' of given liquid with a ball having radius , consider following statements. A. Graph between terminal velocity and will be a parabola. B. The terminal

In the figure shown below, a resistance of is connected in series to an ammeter A of resistance . A shunt resistance of is connected in parallel with the ammeter. The reading of the ammeter is mA .

A massless spring gets elongated by amount under a tension of 5 N . Its elongation is under the tension of 7 N . For the elongation of , the tension in the spring will be,

The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the first 30.5 second is______ km. [23 Jan 2025 Shift 1]

Two cylindrical vessels of equal cross sectional area of contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A . If the rate of change of potential difference between the plates is then

If is magnetic field and is permeability of free space, then the dimensions of is[22 Jan 2025 Shift 1]

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle with the horizontal. The friction coefficient between the block and the surface is 0.25 . The block travels at a unifo

A metallic ring is uniformly charged as shown in figure. and are two mutually perpendicular diameters. Electric field due to at ' ' is ' ' in magnitude. What would be the magnitude of electric field a

Two charges and are placed at and respectively. Given, , the electrostatic potential energy of the charge configuration is:

Identify the valid statements relevant to the given circuit at the instant when the key is closed. A. There will be no current through resistor . B. There will be maximum current in the connecting wir

Given below are two statements: Statement I: The hot water flows faster than cold water.Statement II: Soap water has higher surface tension as compared to fresh water. In the light of above statements

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon days and gravitational attrac

Find the equivalent resistance between two ends of the following circuit

A sample of a liquid is kept at 1 atm . It is compressed to 5 atm which leads to change of volume of . If the bulk modulus of the liquid is 2 GPa , the initial volume of the liquid was litre. (Take )

Consider a moving coil galvanometer (MCG): A. The torsional constant in moving coil galvanometer has dimentions [ ]B. Increasing the current sensitivity may not necessarily increase the voltage sensit

The net current flowing in the given circuit is_____ A.

Three infinitely long wires with linear charge density are placed along the -axis, -axis and -axis respectively. Which of the following denotes an equipotential surface?

A ball having kinetic energy , is projected at an angle of from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the -direction in 0.3 sec . The crest is at at and maximum displacement of the wave is 2 cm . Which equation correctly represe

Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II : The equivalent internal resista

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Work done in moving a test charge between two points inside a uniformly charged spher

A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is , where the va

A capillary tube of radius 0.1 mm is partly dipped in water (surface tension and glass water contact angle ) with inclined with the vertical. The length of water risen in the capillary is cm. (Take )

Two simple pendulums having lengths and with negligible string mass undergo angular displacements and , from their mean positions, respectively. If the angular accelerations of both pendulums are same

The electric flux is Where and are linear and surface charge density, respectively. represents

A string of length is fixed at one end and carries a mass of at the other end. The mass makes rotations per second about the vertical axis passing through end of the string as shown. The tension in th

Match the List-I with List-IIList-IList-IIA.Gravitational constantI.[ ]B.Gravitational potential energyII. C.Gravitational potentialIII. D.Acceleration due to gravityIV. Choose the correct answer from

The least count of a screw gauge is 0.01 mm . If the pitch is increased by and number of divisions on the circular scale is reduced by , the new least count will be _____ .[24 Jan 2025 Shift 1]

A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is 2 m

An object is kept at rest at a distance of above the earth's surface where is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is(Assume mass of ea

A capacitor, is charged to a potential difference of using a 5 V battery. The battery is removed and another capacitor, is inserted in place of the battery. When the switch ' ' is closed, the charge f

If and are the permeability and permittivity of free space, respectively, then the dimension of is[2 Apr 2025 Shift 2]

The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is m.

A body of mass ' ' connected to a massless and unstretchable string goes in verticle circle of radius ' ' under gravity . The other end of the string is fixed at the center of circle. If velocity at t

Two slabs with square cross section of different materials with equal sides and thickness and such that and . Considering lower edges of these slabs are fixed to the floor, we apply equal shearing for

A tube of length is shown in the figure. The radius of cross section at the point (1 ) is 2 cm and at the point (2 ) is 1 cm , respectively. If the velocity of water entering at point (1 ) is , then v

The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of , would be ______ . (Given bulk modulus of copper )

Two harmonic waves moving in the same direction superimpose to form a wave (50.5t) where is in seconds. Find the period with which they beat. (close to nearest integer)

A force acts on a particle in a plane . The work done by this force during a displacement from to ______ Joule (round off to the nearest integer)

Two water drops each of radius ' ' coalesce to form a bigger drop. If ' is the surface tension, the surface energy released in this process is

In the first configuration (1 ) as shown in the figure, four identical charges are kept at the corners , and of square of side length ' '. In the second configuration (2 ), the same charges are shifte

A force acts on an object in the -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant then will be

The equation of a wave travelling on a string is , where and are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :

A parallel plate capacitor of capacitance is charged to a potential difference of 20 V . The distance between plates is . The energy density between plates of capacitor is.

Two planets, and are orbiting a common star in circular orbits of radii and , respectively, with . The planet is times more massive than planet . The ratio of angular momentum of planet to that of pla

Two liquids and have and as contact angles in a capillary tube. If , then identify the correct statement:

An electric dipole of mass , charge , and length is placed in a uniform electric field . When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillat

Match the LIST-I with LIST-II. LIST-ILIST-IIA.Boltzmann constantI. B.Coefficient of viscosityII. C.Planck's constantIII. D.Thermal conductivityIV. Choose the correct answer from the options given belo

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The kinetic energy needed to project a body of mass from earth surface to infinity is

Current passing through a wire as function of time is given as . The charge that will flow through the wire from to is

Which one of the following forces cannot be expressed in terms of potential energy ?

Space between the plates of a parallel plate capacitor of plate area and separation of (d) 1.77 mm , is filled with uniform dielectric materials with dielectric constants ( 3 and 5 )as shown in figure

A motor operating on 100 V draws a current of 1 A . If the efficiency of the motor is , then the loss of power in units of is

Three identical spheres of mass , are placed at the vertices of an equilateral triangle of length . When released, they interact only through gravitational force and collide after a time seconds. If t

The dimension of is equal to that of : ( Vacuum permeability and Vacuum permittivity)[7 Apr 2025 Shift 2]

Two charges and are separated by a distance of 30 cm . A third charge initially at ' ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D . If the difference in poten

A particle is projected with velocity so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as , where value of is : (Given, '

A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water?(Given : density of water )

A square loop of side is held normally in front of a point charge . The flux of the electric field through the shaded region is , where the value of is _____

A ball of mass 100 g is projected with velocity at with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is[22 Jan 2025 Shift 2]

The maximum percentage error in the measurement of density of a wire is[Given, mass of wire radius of wire length of wire [22 Jan 2025 Shift 2]

Two wires and are made of same material having ratio of lengths and their diameters ratio . If both the wires are stretched using same force, what would be the ratio of their respective elongations?

Two projectiles are fired from ground with same initial speeds from same point at angles ( ) and with horizontal direction. The ratio of their times of flights is[7 Apr 2025 Shift 1]

The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, and , are : (Take the angular frequency of initial waves same as )

A particle is projected at an angle of from horizontal at a speed of . The height traversed by the particle in the first second is and height traversed in the last second, before it reaches the maximu

A cubic block of mass is sliding down on an inclined plane at with an acceleration of , the value of coefficient of kinetic friction is

An object with mass 500 g moves along -axis with speed . The force acting on the object is:

A point charge is placed at the origin. A second point charge is placed at in Cartesian coordinate system. The point in between them where the electric field vanishes is:

Two metal spheres of radius and have same surface charge density . If they are brought in contact and then separated, the surface charge density on smaller and bigger sphere becomes and , respectively

A satellite is launched into a circular orbit of radius ' ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is l

A river is flowing from west to east direction with speed of . If a boat capable of moving at a maximum speed of in still water, crosses the river in half a minute, while moving with maximum speed at

A particle is released from height above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of t

The fractional compression of water at the depth of below the sea level is ______ \%. Given, the Bulk modulus of water , density of water , acceleration due to gravity .

Acceleration due to gravity on the surface of earth is ' '. If the diameter of earth is reduced to one third of its original value and mass remains unchanged, then the acceleration due to gravity on t

A small uncharged conducting sphere is placed in contact with an identical sphere but having charge and then removed to a distance such that the force of repulsion between them is . The distance betwe

A parallel plate capacitor was made with two rectangular plates, each with a length of and breadth of . The distance between the plates is . Out of the following, which are the ways to increase the ca

At steady state the charge on the capacitor, shown in the circuit below, is ______ .

A particle is subjected to two simple harmonic motions as: where is displacement and is time in seconds. The maximum acceleration of the particle is . The value of is :

A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of an uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance betwee

Given a charge , current and permeability of vacuum . Which of the following quantity has the dimension of momentum?[2 Apr 2025 Shift 2]

A person measures mass of 3 different particles as and 0.125 g . According to the rules for arithmetic operations with significant figures, the addition of the masses of 3 particles will be[3 Apr 2025

Four capacitors each of capacitance are connected as shown in the figure. The capacitance between points and is : (in ).

Match List- 1 with List-II List - I List - II (A) Permeability of free space (I) (B) Magnetic field (II) (C) Magnetic moment (III) (D) Torsional constant (IV) Choose the correct answer from the option

A sand dropper drops sand of mass on a conveyer belt at a rate proportional to the square root of speed of the belt, i.e. . If is the power delivered to run the belt at constant speed then which of th

A particle oscillates along the -axis according to the law, where . The kinetic energy (K) of the particle as a function of is correctly represented by the graph

In a hydraulic lift, the surface area of the input piston is and that of the output piston is . If 100 N force is applied to the input piston to raise the output piston by 20 cm , then the work done i

Match List - I with List - II. List - I List - II (A) Young's Modulus (I) (B) Torque (II) (C) Coefficient of Viscosity (III) (D) Gravitational Constant (IV) Choose the correct answer from the options

The expression given below shows the variation of velocity with lime . The dimension of is : [29 Jan 2025 Shift 1]

Which of the following resistivity temperature ( ) curves is most suitable to be used in wire bound standard resistors?

A physical quantity is related to four observables as follows : where, and , then the percentage error in is , where ______ .[29 Jan 2025 Shift 2]

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason Assertion A: A sound wave has higher speed in solids than gases.Reason R: Gases have higher value of

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Net dipole moment of a polar linear isotropic dielectric substance is not zero

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities and , respectively. The frequency of harmonic of closed tube is identical with

A bob of mass is suspended at a point by a light string of length I and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocity at the point ' ', the

Two strings with circular cross section and made of same material are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wav

Given are statements for certain thermodynamic variables,(A) Internal energy, volume and mass are extensive variables. (B) Pressure ( ), temperature ( ) and density ( ) are intensive variables. (C) Vo

A satellite of mass is revolving around earth in a circular orbit at a height of from earth surface. The angular momentum of the satellite is . The value of is , where and are the mass and radius of e

Two cells of emfs 1 V and 2 V and internal resistances and , respectively, are connected in series with an external resistance of . The total current in the circuit is . Now the same two cells in para

The position of a particle moving on -axis is given by , where is time. The dimension of is[23 Jan 2025 Shift 1]

In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage is correctly represented by

Match List-I with List-II. LIST-ILIST-II(A)Coefficient of viscosity(I) (B)Intensity of wave(II) (C)Pressure gradient(III)[ ](D)Compressibility(IV) Choose the correct answer from the options given belo

Given below are two statements : Statement-I: In a vernier callipers, one vernier scale division is always smaller than one main scale division.Statement-II: The vernier constant is given by one main

In an experiment with a closed organ pipe, it is filled with water by th of its volume. The frequency of the fundamental note will change by

A force is applied on a particle and it undergoes a displacement . What will be the value of , if work done on the particle is zero?

A small rigid spherical ball of mass is dropped in a long vertical tube containing glycerine. The velocity of the ball becomes constant after some time. If the density of glycerine is half of the dens

Match List-I with List-II. List-I List-II (A) Angular Impulse (I) (B) Latent Heat (II) (C) Electrical resistivity (III) (D) Electromotive force (IV) Choose the correct answer from the options given be

A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of 270 km from the earth's surface. Kinetic energy of the satellite in this orbit is . (Mass of earth , Radi

Two point charges and , constituting an electric dipole, are placed at and in a uniform electric field of strength . The work done on the dipole in rotating it from the equilibrium through is

An object of mass 1000 g experiences a time dependent force . The power generated by the force at time is:

Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is . The potential difference between the points and (shown in the figure) is

The electrostatic potential on the surface of uniformly charged spherical shell of radius is 120 V . The potential at the centre of shell, at a distance cm from centre, and at a distance from the cent

A physical quantity is related to four other quantities and as follows . The percentage errors in the measurement of and are and , respectively. The percentage error in the measurement of will be .[3

An infinitely long wire has uniform linear charge density . The net flux through a Gaussian cube of side length , if the wire passes through any two corners of the cube, that are maximally displaced f

A small bob of mass 100 mg and charge is connected to an insulating string of length 1 m . It is brought near to an infinitely long non-conducting sheet of charge density ' ' as shown in figure. If st

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of . If , then value of is ______

A galvanometer having a coils resistance need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added

Three parallel plate capacitors and each of capacitance are connected as shown in figure. The effective capacitance between points and , when the space between the parallel plates of capacitor is fill

A car of mass ' ' moves on a banked road having radius ' ' and banking angle . To avoid slipping from banked road, the maximum permissible speed of the car is . The coefficient of friction between the

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The outer body of an air craft is made of metal which protects persons sitting

The position vector of a moving body at any instant of time is given as . The magnitude and direction of velocity at is,[24 Jan 2025 Shift 2]

A wire of resistance is bent into an equilatera triangle and an identical wire is bent into a square The ratio of resistance between the two end points of an edge of the triangle to that of the square

An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10 cm length. The electron emerge out of the electric field region with a horiz

A small point of mass is placed at a distance from the centre ' ' of a big uniform solid sphere of mass and radius . The gravitational force on ' ' due to is . A spherical part of radius is removed fr

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is ______ .

The angle of projection of a particle is measured from the vertical axis as and the maximum height reached by the particle is . Here as function of can be presented as[3 Apr 2025 Shift 1]

A steel wire of length 2 m and Young's modulus is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and respectively, then the elastic potential energy density of the w

In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of , where value of ' ' and ' ' is[4 Apr 2025 Shift 1]

A wire of resistance is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points and is . The value of is

A sportsman runs around a circular track of radius such that he traverses the path . The distance travelled and displacement, respectively, are

A wire of resistance is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ______ ohm.

An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of a liquid having surface tension and density . The difference between pressure inside the bubble and atmospheric

In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of soun

A balloon and its content having mass is moving up with an acceleration ' '. The mass that must be released from the content so that the ballon starts moving up with an acceleration ' 3 a ' will be (T

Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. and are the tot

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is , the escape velocity in from the planet will be:

Two blocks of masses and are placed on a frictionless table as shown in figure. A massless spring with spring constant is attached with the lower block. If the system is slightly displaced and release

A particle of charge and mass is present in a strong magnetic field of 6.28 T . The particle is then fired perpendicular to magnetic field. The time required for the particle to return to original loc

An electric dipole of dipole moment is placed in uniform electric field of magnitude . Initially, the dipole moment is parallel to electric field. The work that needs to be done on the dipole to make

A particle of mass ' ' and charge ' ' is fastened to one end ' ' of a massless string having equilibrium length , whose other end is fixed at point ' '. The whole system is placed on a frictionless ho

The amount of work done to break a big water drop of radius ' ' into 27 small drops of equal radius is 10 J . The work done required to break the same big drop into 64 small drops of equal radius will

Two capacitors and are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are and , respectively. Which of the given statements is

A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled c

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per thi

The equation of a transverse wave travelling along a string is , where is in mm and is in second. The velocity of the wave is :

Consider two infinitely large plane parallel conducting plates as shown below. Two plates are uniformly charged with a surface charge density and . The force experienced by a point charge placed at th

From the combination of resistors with resistances values and , which of the following combination is the best circuit to get an equivalent resistance of ?

For a short dipole placed at origin , the dipole moment is along -axis, as shown in the figure. If the electric potential and electric field at are and , respectively, then the correct combination of

The maximum speed of a boat in still water is . Now this boat is moving downstream in a river flowing at . A man in the boat throws a ball vertically upwards with speed of . Range of the ball as obser

A solid steel ball of diameter 3.6 mm acquired terminal velocity while falling under gravity through an oil of density . Take density of steel as and as . The viscosity of the oil in SI unit is

A wire of length 25 m and cross-sectional area having resistivity is bent into a complete circle. The resistance between diametrically opposite points will be

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. C

A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, yo

A positive ion and a negative ion has charges and , and masses 19.2 and respectively. At an instant, the ions are separated by a certain distance . At that instant the ratio of the magnitudes of elect

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason Assertion A: In a central force field, the work done is independent of the path chosen.Reason R : Ev

A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions and , respectively, are (in N )(Take acceleration due to gravity )

A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If and are the total distance and displacement covered by the particle in 12.5 s , then is

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is . The reading of the pressure gauge falls to when the valve is opened.

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm . The vernier scale attached to the microscope ha

The increase in pressure required to decrease the volume of a water sample by is . Bulk modulus of water is . The value of is