JEE Main 2020 PYQ

The sum of two forces and is such that The angle θ (in degrees) that the resultant of and will make with is, ____ .

A quantity f is given by where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of f is that of :[9 Jan 2020 Shift 1]

Two particles of equal mass have respective initial velocities and . They collide completely inelastically. The energy lost in the process is:

Two infinite planes each with uniform surface charge density + σ are kept in such a way that the angle between them is 30°. The electric field in the region shown between them is given by: [7-Jan-2020

A non-isotropic solid metal cube has coefficients of linear expansion as : 5 × 10 along the x-axis and 5 × 10 along the y and the z-axis. If the coefficient of volume expansion of the solid is C × 10

Consider a force . The work done by this force in moving a particle from point to along the line segment is: (all quantities are in SI units)

A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of it produces a deflection of its figure of merit is close to :

A simple pendulum is being used to determine th value of gravitational acceleration g at a certain place. Th length of the pendulum is 25.0 cm and a stop watch with Is resolution measures the time tak

Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm ) is 90 ms . If the Young's modulus of wire is 16 × Nm , the extension of wire over its natural

In the circuit shown, charge on the capacitor is :

If the screw on a screw -gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on the circular scale the least count of the screw gauge is :[9 Jan 2020 Shift 1]

A Tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height The velocity versus height of the ball during its motion may be represented graphica

Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its ends and attached to the ceiling. The rod is of mass 'm' and has another weight of

The least count of the main scale of a verniercallipers is Its vernier scale is divided into 10 divisions and coincide with 9 divisionsof the main scale. When jaws are touching each other, the divisio

The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in the density of the sphere is If the relative errors in measuring the mass and the diamete

An ideal cell of emf is connected in circuitshown in figure. Each resistance is Thepotential difference (in ) across the capacitorwhen it is fully charged is _____.

Consider a sphere of radius R which carries a uniform charge density ρ. If a sphere of radius is carved out of it, as shown, the ratio of magnitude of electric field and , respectively, at points A an

ABC is a plane lamina of the shape of an equilateral triagnle. D, E are mid points of AB, and is the centroid of the lamina. Moment of inertia of the lamina about an axis passing through and perpendic

A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the particle, the dependence of its speed v on the distance x travelled by it is corr

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m/s, the frequency difference between the fund

A calorimeter of water equivalent contains of water at 'm' grams of steam at is mixed in it till the temperature of the mixure is . The value of 'm' is close to (Latent heat of water cal specific heat

Four resistances and make the arms of a quadrilateral ABCD. Across AC is a battery of emf and internal resistance negligible. The potential difference across BD is is ________.

In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fusecapacity (rated value) of the building

A fluid is flowing through a horizontal pipe of varying cross-section, with speed at a point where the pressure is P Pascal. At another point where pressure is Pascal its speed is If the density of th

In the given circuit diagram, a wire is joining points B and D. The current in this wire is :

The change in the magnitude of the volume of an ideal gas when a small additional pressure is applied at a constant temperature, is the same as the change when the temperature is reduced by a small qu

A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric which has a dielectric constant that varies as k(x) = K(1 + αx) where 'x' is the

Starling at temperature 300 K, one mole of an ideal diatomic gas is first compressed V, adiabatically from volume to . It is then allowed to expand isobarically to volume . If all the processes are th

The distance x covered by a particle in one dimensional motion varies with time t as . If the acceleration of the particle depends on as , where n is an integer, the value of n is[9 Jan 2020 Shift 1]

On the x-axis and a dsitance from the origin, the gravitational field due to a mass distribution is given by in the -direction. The magnitude of gravitational potential on the -axis at a distance taki

An electric field N /C passes through the box shown in figure. The flux of the electric field through surfaces ABCD and BCGF are marked as and respectively. The difference between is (in /C)__________

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4kg. (The coordinates of the same are shown in figure) are :

For the given input voltage waveform , the output voltage waveform across the capacitor is correctly depicted by:

An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are 6.4 cm and 4.8 cm, respectively. The ratio of the minimum and the maximum

A block of mass slides with velocity on a frictionless horizontal surfaceand collides with a uniform vertical rod andsticks to it as shown. The rod is pivoted about and swings as a result of the colli

Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is but the height of liquid in one vessel is and in the oth

Two moles of an ideal gas with are mixed with 3 moles of another ideal gas with The value of for the mixture is : [7-Jan-2020 Shift 1]

In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found to be times the initial pressure. The value of is:

In a dilute gas at pressure and temperature , the mean time between successive collisions of a molecule varies with T as:

Consider a uniform rod o f mass M = 4m and length l pivoted about its centre. A mass moving with velocity v making angle to the rod's long axis collides with one end of the rod and sticks to it. The a

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of ) of the mixtu

If minimum possible work is done by a refrigerator in converting 100 grams of water at to ice, how much heat (in calories) is released to the surrounding at temperature (Latent heat of ice to the near

In a meter bridge experiment S is a standard resistance. R is a resistance wire. It Is found that balancing length is cm. If R is replaced by a wire of half length and half diameter that of R of same

A thin rod of mass and length is suspended, at rest, from one end so that it can freely oscillate in the vertical plane. A particle of move moving in a straight line with velocity hits the rod at its

A small ball of mass is thrown upward with velocity u from the ground. The ball experiences a resistive force where is its speed. The maximum height attained by the ball is :

Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibrational mode, and m have a mass . Th

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings The average of these four readings is and the standard devia

A camot engine having an efficiency of is being used as a refrigerator. If the work done on the refrigerator is 10 J, the amount of heat absorbed from the reservoir at lower temperature is :

A block of mass is at rest at the edge of a table, of height . A bullet of mass collides with the block and sticks to it. If the velocity of the bullet is in the horizontal direction just before the c

An electrical power line, having a total resistance of delivers at . The efficiency of the transmission line is approximately:

A hollow spherical shell at outer radius floats just submerged under the water surface. The inner radius of the shell is r. If the specific gravity of the shell material is w.r.t. water, the value of

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate where is its instantaneous velocity. The instantaneous acceleration of the satellite is:

As shown in the figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (disc) of radius r and mass m. When released from rest the bob starts falling verti

A wire of density is stretched between two clamps apart. The resulting strain in the wire is . The lowest frequency of the transverse vibrations in the wire is (Young's modulus of wire (to the nearest

In an experiment to verify Stokes law, a small spherical ball of radius and density falls under gravity through a distance in air before entering a tank of water. If the terminal velocity of the ball

Three containers and have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in litres) are taken from each containers and mixed (ass

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed , he sees that rain drops are coming at an angle from the horizontal. On further increasing

Three harmonic waves having equal frequency v and same intensity , have phase angles and respectively . When they are superimposed the intensity of the resultant wave is close to :

Three charged particle A, B and C with charges -4q, 2q and -2q are present on the circumference of a circle of radius d. the charged particles A, C and centre O of the circle formed an equilateral tri

A ball is dropped from the top of a 100 m high 1 tower on a planet. In the last s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in ms ) near the surface on that

A box weighs 196 N on a spring balance at the north pole. Its weight recorded on the same balance if it is shifted to the equator is close to (Take g = 10 ms at the north pole and the radius of the ea

A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch scale marking, prior to use. Upon one complete rotation of the circular scale, a displacement of

A leak proof cylinder of length 1 m , made of a metal which has very low coefficient of expansion is floating vertically in water at 0°C such that its height above the water surface is 20 cm. When the

M grams of steam at 100°C is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40°C [heat of vaporization of water is 540 cal/ g and heat

The quantities and are defined where -capacitance -Resistance, -length, -Electric field, -magnetic field and -free space permittivity and permeability respectively. Then :[5 Sep 2020 Shift 2]

A circular disc of mass and radius isrotating about its axis with angular speed . If another stationary disc having radius and same mass is dropped co-axially on to the rotating disc. Gradually both d

An object of mass is suspended at the end of a massless wire of length and area of cross-section, A. Young modulus of the material of the wire is . If the mass is pulled down slightly its frequency of

In the figure shown, the current in the battery is close to :

The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is: (Graphs are

The value of current flowing from to in the circuit diagram is :

Moment of inertia of a cylinder of mass M, length and radius about an axis passing through its centre and perpendicular to the axis of the cylinder is If such a cylinder is to be made for a given mass

A capacitor is charged fully by a supply. It is then disconnected from the supplyand is connected in series to another uncharged capacitor. If the energy change duringthe charge redistribution is then

Consider a solid sphere of radius R and mass density The minimum density of a liquid in which it will float is :

If speed area and force are chosen asfundamental units, then the dimension ofYoung's modulus will be : [2 Sep 2020 Shift 1]

A force acts at a point Then the magnitude of torque about the point will The value of is _______.

The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point is at 4.333 seconds. The total distance covered by the body in 6 s is : [5 Sep 2020 Shift 2]

Nitrogen gas is at temperature. The temperature (in ) at which the speed of a molecule would be equal to the rms speed of a nitrogen molecule, is _____. (Molar mass of gas )

A battery of is connected to a resistor dissipating of power. If the terminal voltage of the battery is the power dissipated within the internal resistance is :

Consider two uniform discs of the samethickness and different radii and made of the same material. If the ratio of their moments of inertia and , respectively, about their axes is then the value of is

A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal, )

A balloon is moving up in air vertically above a point A on the ground. When it is at a height a girl standing at a distance (point ) from A (see figure) sees it at an angle with respect to the vertic

An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the radius of the earth) from the earths centre, it has a speed of 12 km/s. Neglecting the effect of ear

Assume that the displacement(s) of air is proportional to the pressure difference created by a sound wave. Displacement(s) further depends on the speed of sound (v), density of air and the frequency (

A bullet of mass , travelling with a speed of 210 strikes a fixed wooden target. One half of its kinetic energy is converted into heat in the bullet while the other half is converted into heat in the

A particle moving in the xy plane experiences a velocity dependent force where and are the and components of its velocity . If Ls the acceleration of the particle, then which of the following statemen

For the four sets of three measured physical quantities as given below. Which of the following options is correct ?(i) (ii) (iii) (iv) [9 Jan 2020 Shift 2]

Charges and arc at points and of a right angle triangle OAB (see figure). The resultant electric field at point is perpendicular to the hypotenuse, then is proportional to :

The radius of gyration of a uniform rod of length , about an axis passing through a point away from the centre of the rod, and perpendicular to it, is : [7-Jan-2020 Shift 1]

An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of the engine is close to ________.

A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied horizontally at the mid-point of the rope such that the top half of the rope makes an angle of 45° with the

Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom. The gas is maintained at a temperature of T. The total internal energy, U of a

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20Ω and 5Ω, is connected to the parallel combination of two resistors 30 Ω and R Ω. The voltage

Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other engine to produce work) between temperatures, and . The temperature of the hot reservoir of the first

A capillary tube made of glass of radius is dipped vertically in a beaker filledwith methylene iodide (surfacetension density which rises to height h in the tube. It is observedthat the two tangents d

A parallel plate capacitor has plate of length 'l', width 'w' and separation of plates is 'd'. It is connected to a battery of emf . A dielectric slab of the same thickness 'd' and of dielectric const

A thermodynamic cycle xyzx is shown on a V-T diagram.The P-V diagram that best describes this cycle is : (Diagrams are schematic and not to scale)

Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from to . If for this gas then a good estimate for is given b

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is while the distance between one crest and one trough is . The possible wavelengths (in ) of the waves

The linear mass density of a thin rod of length varies from to as where is the distance from A. If is the mass of the rod then its moment of inertia about an axis passing through A and perpendicular t

Two capacitors of capacitances and are charged to potential differences and respectively. These are then connected in parallel in such a manner that the positive terminal of one is connected to the ne

Consider the force on a charge 'q' due to a uniformly charged spherical shell of radius carrying charge Q distributed uniformly over it. Which one of the following statements is true for if 'q' is pla

A body is moving in a low circular orbit about a planet of mass and radius The radius of the orbit can be taken to be itself. Then the ratio of the speed of this body in the orbit to the escape veloci

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through (the centre of mass) and O' (corner point) is :

A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is thrown vertically upwards from the ground with a speed of . If they collide head

The speed verses time graph for a particle is shown in the figure. The distance travelled (in ) by the particle during the time interval to will be _________ :[4 Sep 2020 Shift 2]

An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg. The mass of the elevator itself is 920 kg and it moves with a constant speed 3 m/s. The f

A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reaching C, the particle continues to move freely in air as a projectile. When it reach

Consider a uniform cubical box of side a on a rough floor that is to be moved by applying minimum possible force F at a point b above its centre of mass (see figure). If the coefficient of friction is

A body A, of mass m = 0.1 kg has an initial velocity of . It collides elastically with another body, B of the same mass which has an initial velocity of . After collision, A moves with a velocity . Th

A litre of dry air at STP expands adiabatically to a volume of 3 litres. If , the work done by air is : [Take air to be an ideal gas] [7-Jan-2020 Shift 1]

Match the thermodynamic processes taking place in a system with the correct conditions. In the table : is the heat supplied, is the work done and is change in internal energy of the system : Process C

Ten charges are placed on the circumference of a circle of radius with constant angular separation between successive charges. Alternate charges 1,3,5,7,9 have charge each, while 2,4,6,8,10 have charg

The specific heat of water and the latent heat of ice 100 grams of ice at is placed in of water at . The amount of ice that will melt as the temperature of water reaches is close to (in grams):

A bead of mass stays at point on a wire bent in the shape of a parabola and rotating with angular speed (see figure). The value of is (neglect friction):

Mass per unit area of a circular disc of radius a depends on the distance r from its centre as σ (r) = A + Br. The moment of inertia of the disc about the the axis, perpendicular to the plane and pass

The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resistance of 20Ω, the null point on it is found to be a 1000cm. The resistance of wh

A metallic sphere cools from to in 300 s. If atmospheric temperature around is then the sphere's temperature after the next 5 minutes will be close to :

In the circuit shown in the figure, the total charge in and the voltage across capacitor is . Then the charge on capacitor is :

Four resistances o f 15Ω, 12Ω, 4Ω and 10Ω respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10Q to balance the networ

Concentric metallic hollow spheres of radii and hold charges and respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference is :

An electric dipole of moment C .m is at the origin (0, 0, 0). The electric field due to this dipole at (note that ) is parallel to:

Three different processes that can occur in an ideal monoatomic gas are shown in the vs diagram. The paths are labelled as and The change ininternal energies during these process are taken as and and

PHYSICS In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential at point B with respect to the point is :

Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1 nm, atomic weight 140) have the same number density and are at the same temperature. The raito of their respectiv

A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of thefollowing option

A particle of mass m is projected with a speed u from the ground at an angle w.r.t. horizontal (x-axis). When it has reached its maximum height, it collides completely inelastically with another parti

Effective capacitance of parallel combination of two capacitors and is 10 µF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor is 4 times

When a long glass capillary tube of radius is dipped in a liquid, the liquid rises to a heightof within it. If the contact angle betweenthe liquid and glass to close to the surface tension of the liqu

The current (in A) flowing through 1 Ω resistor in the following circuit is : [7-Jan-2020 Shift 1]

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound). The observer hears 2 be

A capacitor is fully charged with voltage . After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance The energy loss in the process after the

A heat engine is involved with exchange ofheat of and duringone cycle achieving an efficiency of . The value of is:

A particle of charge q and mass is subjected to an electric field in the -direction, where a and are constants. Initially the particle was at rest at Other than the initial position the kinetic energy

The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from to when he hears it after it gets reflected from the wall. Find the speed of the bus if speed of th

A galvanometer of resistance is converted into a voltmeter of range by connecting a resistance in series with it. The additional resistance that should be connected in series with to increase the rang

A satellite of mass m is launched vertically upwards with an initial speed u from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass so that subs

A particle is moving along the x-axis with its coordinate with the time 't' given be . Another particle is moving the y-axis with its coordinate as a function of time given by . At , the speed of the

Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1 : 4, the ratio of their diameters is :

The value of the acceleration due to gravity is at a height radius of the earth from the surface of the earth. It is again equal to at a depth below the surface of the earth. The ratio equals

A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In the circuit :

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides 4.0 cm, 3.0 cm and 5.0 cm as shown in the figure. The center of mass of the sys

Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is:[3 Sep 2020 Shift 2]

A body of mass m = 10 kg is attached to one end of a wire of length 0.3 m. The maximum angular speed (in rad s ) with which it can be rotated about its other end in space station is (Breaking stress o

Starting from the origin at time with initialvelocity a particle moves in the plane with a constant acceleration of At time its coordinates are The values of and are respectively:[4 Sep 2020 Shift 1]

Using screw gauge of pitch and 50 divisions on its circular scale, the thickness of an object is measured. It should correctly be recorded as:[3 Sep 2020 Shift 1]

Water flows in a horizontal tube (see figure). The pressure of water changes by between A and B where the area of cross section are and , respectively. Find the rate of flow of water through the tube.

Two identical electric point dipoles have dipole moments and and are held on the axis at distance 'a' from each other. When released, they move along the -axis with the direction of their dipole momen

Three solid spheres each of m ass m and diameter d are stuck together such that the lines connecting the centres form an equilateral triangle of side of length d. The ratio of moment of inertia of the

In finding the electric field using Gauss Law the formula is applicable. In the formula is permittivity of free space, A is the area of Gaussian surface and is charge enclosed by the Gaussian surface.

Two isolated conducting spheres and ofradius and have and charges, respectively, and are at a large distancefrom each other. They are now connected bya conducting wire. A long time after this is donet

Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is radius of its top, and height, then its moment of inertia about its axis is:

Two liquids of densities an are filled up behind a square wall of side 10 m as shown in figure. Each liquid has a height of 5 m. The ratio of the forces due to these liquids exerted on upper part MN t

Two different wires having lengths and , and respective temperature coefficient of linear expansion and are joined end-to-end. Then the effective temperature coefficient of linear expansion is :

A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from to when it gets reflected from the wall. If the speed of sound in air is then the speed of t

A closed vessel contains of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at is added to it, the final equilibrium temperature (in ) of the gas in the vessel will be closed to ______.

Consider a gas of triatomic molecules. Themolecules are assumed to the triangular andmade of massless rigid rods whose vertices areoccupied by atoms. The internal energy of a mole of the gas at temper

Consider two solid spheres of radii , and masses and , respectively. The gravitational field due to sphere (1) and (2) are shown. The value of is :

Train A and train are running on parallel tracks in the opposite directions with speeds of hour and hour, respectively. A person is walking in train A in the direction opposite to its motion with a sp

Particle A of mass moving with velocity collides with another particle of mass which is at rest initially. Let and be the velocities of particles and after collision respectively. If and after collisi

The centre of mass of a solid hemisphere of radius is from the centre of the flat surface. Then value of is

The dimension of stopping potential in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and Gravitational constant 'G' and ampere A is :[8 Jan 2020 Shift 1]

The displacement time graph of a particle executing S.H.M. is given in figure : (sketch is schematic and not to scale)Which of the following statements is/are true for this motion? (A) The force is ze

A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected to another uncharged 60 pF capactior is parallel. The electrostatic energy that is lost in

To raise the temperature of a certain mass of gas by at a constant pressure, 160 calories of heat is required. When the same mass of gas is cooled by at constant volume, 240 calories of heat is releas

PHYSICS A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to t

Two resistors and are connected in series across a battery. The potential difference measured by a voltmeter of across resistor is close to:

The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 : is connected in parallel to the cell, the balancing length changes by 60cm. If the internal

A uniform rod of length 'l' is pivoted at one ofits ends on a vertical shaft of negligible radius.When the shaft rotates at angular speed therod makes an angle with it (see figure). Tofind equate the

If is moment of inertia, is force, is velocity, is energy and is length then, dimension of will be:[4 Sep 2020 Shift 2]

A solid sphere of radius carries a charge distributed uniformly over its volume. A very small point like piece of it of mass m gets detached from the bottom of the sphere and falls down vertically und

Model a torch battery of length to be made up of a thin cylindrical bar of radius 'a' and a concentric thin cylindrical shell of radius 'b' filled in between with an electrolyte of resistivity (see fi

A potentiometer wire of length is connected to a standard cell Another cell of emf is connected with a resistance 'r' and switch (as shown in figure). With switch open, the null position isobtained at

A particle of mass with an initial velocity collides perfectly elastically with a mass at rest. It moves with a velocity after collision, then, is given by :

A s shown in figure, when a spherical cavity (centred at O) of radius 1 is cut out of a uniform sphere of radius R (centred at C), the centre of mass of remaining (shaded) part of sphere is at G, i.e,

Match the ratio for ideal gases with different type of molecules: Molecular type (A) Monoatomic (I) (B) Diatomic rigidmolecules (II) (C) Diatomic non-rigidmolecules (III) (D) Triatomic rigidmolecules

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is and the angular speed of rotation is rad The di

A square shaped hole of side is carvedout at a distance from the centre 'O' ofa uniform circular disk of radius a. If thedistance of the centre of mass of the remainingportion from is value of (to the

A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses and are attached

A galvanometer having a coil resistan ce 100 Ω gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a

A person pushes a box on a rough horizontal platform surface. He applies a force of over a distance of Thereafter, he getsprogressively tired and his applied force reduces linearly with distance of .

A charged particle (mass and charge q moves along axis with velocity When itpasses through the origin it enters a regionhaving uniform electric field whichextends upto . Equation of path of electronin

A bakelite beaker has volume capacity of at . When it is partially filled with volume(at ) of mercury, it is found that the unfilledvolume of the beaker remains constant astemperature is varied. If an

The acceleration due to gravity on the earth's surface at the poles is and angular velocity of the earth about the axis passing through the pole is An object is weighed at the equator and at a height

If momentum area and time aretaken to be the fundamental quantities then thedimensional formula for energy is :[2 Sep 2020 Shift 2]

The height 'h' at which the weight of a bodywill be the same as that at the same depth 'h'from the surface of the earth is (Radius of theearth is and effect of the rotation of the earthis neglected):

A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length L The other end is fixed. The system is given an angular speed about the fixed end of the spri

Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angularvelocity of the first disc are and

A block of mass attached to massless spring is performing oscillatory motion of amplitude 'A' on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through

A sound source is moving along a straight track with speed and is emitting sound of frequency (see figure). An observer is standing at a finite distance, at the point from the track. The time variatio

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is . When the tension is changed to T, the velocity changed to . The value of T is close to :

A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of 5.00 cm/s. Its kinetic energy is :

In a resonance tube experiment when the tube is filled with water up to height of frombottom, it resonates with a given tuning fork. When the water level is raised the nextresonance with the same tuni

A wire of length L and mass per unit length 6.0 × 10 kgm is put under tension of 540 N. Two consecutive frequencies that it resonates at are : 420 Hz and 490 Hz. Then L in meters is :

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? where, 1 → 2 is adiabatic. (Graphs are schematic and are not to scale)

An engine takes in 5 moles of air at and 1 atm, and compresses it adiabaticaly to of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period and, (ii) back and forth in a direction perpendicular to its plane, with a period . the rati

Number of molecules in a volume of of a perfect monoatomic gas at some temperature and at a pressure of of mercury is close to ? (Given, mean kinetic energy of a molecule (at T) is erg, density of mer

A capacitor is made of two square plates each of side 'a' making a very small angle a between them, as shown in figure. The capacitance will be close to :

Two planets have masses and and their radii are a and 2a, respectively. The separation between the centers of the planets is 10a. A body of mass is fired from the surface of the larger planet towards

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) - time(t) graph that describes the motion of the particle

A uniform thin rope of length and mass hangs vertically from a rigid support and a block of mass is attached to its free end. A transverse short wavetrain of wavelength is produced at the lower end of

If the potential energy between two molecules is given by then at equilibrium, separation between molecules, and the potential energy are :

A small spherical droplet of density d is floating exactly half immersed in a liquid of density ρ and surface tension T. The radius of the droplet is (take note that the surface tension applies an upw

Consider a mixture of n moles of helium gas and 2 n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its value will be :

A capacitor is fully charged to a potential difference of . After removing the source voltage it is connected to an unchargedcapacitor in parallel. Now the potential difference across them becomes . T

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :

A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius By firing rockets attached to it, its speed is instantaneously increase

A wheel is rotaing freely with an angular speed on a shaft. The moment of inertia of the wheel is I and the moment of inertia of the shaft is negligible. Another wheel of momet of inertia 3I initially

A helicopter reises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped from the helicopter when it is a height . The time taken by the packet to reach

Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is

A rod of length L has non-uniform linear mass density given by , where a and b are constants and The value of x for the centre of mass of the rod is at :

The mass density of a spherical galaxy variesas over a large distance 'r' from its centre. In that region, a small star is in a circular orbitof radius . Then the period of revolution, depends on as :

The mass density of a planet of radius varies with the distance from its centre as Then the gravitational fieldis maximum at:

Dimensional formula for thermal conductivity is (here denotes the temperature)[4 Sep 2020 Shift 1]

Two identical strings and made of same material have tension and in them. It their fundamental frequencies are and respectively, then the ratio is :

The dimension of , where B is magnetic field and is the magnetic permeability of vacuum, is:[7 Jan 2020 Shift 2]

A particle of mass is moving along the -axis with initial velocity . It collides elastically with a particle of mass at rest and then moves with half its initial kinetic energy (see figure). If then v

Planet A has mass M and radius R. Planet B has half the mass and half the radius of Planet A. If the escape velocities from the Planets A and B are and , respectively, then , The value of n is :

A body of mass is driven by an engine delivering a constant power . The body starts from rest and moves in a straight line. After 9 seconds, the body has moved a distance (in m)______.

Blocks of masses and are arranged in a line on a frictionless floor. Another block of mass moving with speed along the same line (see figure) collides with mass in perfectly inelastic manner. All the

A balloon filled with helium and1.7 atm.) bursts. Immediately afterwards the expansion of helium can be considered as:

A clock has a continuously moving second's hand of length. The average acceleration of the tip of the hand (in units of ) is of the order of:

A person of mass is standing on the rim of a circular platform of mass rotating about its axis as 5 revolutions per minute (rpm). The person now starts moving towards the centre of the platform. What

Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity and respectively. They are joined together at their ends to make a long rod (see figure)

A air bubble of radius in water has an upward acceleration . The density of water is and water offers negligible drag force on the bubble. The mass of the bubble is

When the temperature of a metal wire isincreased from to its length increasesby The percentage change in its massdensity will be closest to:

A spring mass system (mass m, spring constant k and natural length l) rest in equilibrium on a horizontal disc. The free end of the spring is fixed at the centre of the disc. If the disc together with

A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass collides with A with a velocity which is half the instantaneous velocity of A. The collision is comp

Four point masses, each of mass are fixed at the corners of a square of side The square is rotating with angular frequency about an axis passing through one of the corners of the square and parallel t

An insect is at the bottom of a hemispherical ditch of radius . It crawls up the ditch but starts slipping after it is at height from the bottom. If the coefficient of friction between the ground and

A particle m ov es such that its p o sition vector where ω is a constant and t is time. Then which of the following statements is true for the velocity and acceleration of the particle :[8 Jan 2020 Sh

A block starts moving up an inclined plane of inclination with an initial velocity of . It comes back to its initial position withvelocity The value of the coefficient ofkinetic friction between the b

A cricket ball of mass is thrownvertically up by a bowling machine so that itrises to a maximum height of after leaving the machine. If the part pushing the ball applies a constant force on the ball a

A particle starts from the origin at t = 0 with an initial velocity of m/s and moves in the x-y plane with a constant acceleration . The x-coordinate of the particle at the instant when its y-coordina

A small block starts slipping down from a point on an inclined plane which is making an angle with the horizontal section is smooth and the remaining section CA is rough with a coefficient of friction

A two point charges and are fixed on the -axis at and respectively. If a third point charge 'q' is taken from the origin to along the semicircle as shown in the figure, the energy of the charge will:

Consider four conducting materials copper,tungsten, mercury and aluminium withresistivity and respectively. Then:

One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released from rest when it makes an angle 30° from the horizontal (see figure). Its angular speed when it hits the table

An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass m situated at its vertices. The moment of intertia of the system about the line EX perpendicularto EG

A physical quantity z depends on fourobservables and as The percentage of error in the measurement of a, b, c and d and respectively. The percentage of error in z is:[5 Sep 2020 Shift 1]

Initially a gas of diatomic molecules is contained in a cylinder of volume at a pressure and temperature . Assuming that of the molecules get dissociated causing a change in number of moles. The press

Consider two charged metallic spheres and of radii and , respectively. The electric fields (on ) and (on ) on their surfaces are such that . Then the ratio (on ) / (on ) of the electrostatic potential

When a particle of mass is attached to a vertical spring of spring constant and released, its motion is described by where 'y' is measured from the lower end of unstretched spring. Then is :

Two charged thin infinite plane sheets of uniform surface charge density and where intersect at right angle. Which of the following best represents the electric field lines for this system :

A charge is distributed over two concentricconducting thin spherical shells radii and If the surface charge densities on thetwo shells are equal, the electric potential at thecommon centre is :

An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true? (A) the mean free path of the molecules decreases. (B) the mean collision

A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature res

A uniform cylinder of mass and radius isto be pulled over a step of height a byapplying a force at its centre 'O' perpendicularto the plane through the axes of the cylinderon the edge of the step (see