PYQ2025 Questions

The given figure shows a semi-infinite straight wire carrying a current i. The magnitude of magnetic field produced by the wire at point p is

A copper wire and an aluminium wire have the same length and cross-sectional area. They are connected one by one to the same battery at the same temperature. Which of the following statements is correct?

-- 25. A circuit containing resistors and cells is given below. The current flowing through 10 Ω resistor is

-- 24. Six metallic plates of equal area A (area of one face) and separation d are arranged as shown in the figure. The equivalent capacitance between terminals P and Q is

-- 23. Consider the following statement for Gauss's law given in the form φ = ∮ E · dAStatement (A): If we displace the enclosed charges without crossing the boundary of the Gaussian surface, then E and φ both change.Statement (B): If the charges cro

A thin uniformly charged circular ring of radius R carries a total charge q. When a point charge q0 is placed at the centre of the ring, the force stretching the wire changes. The increase in the stretching force of the ring is

-- Two identical string instruments initially vibrate with a frequency of 200 Hz. If the tension in one of the instruments is increased by 2% and both are sounded simultaneously, then the number of beats produced per second will be

-- When a transverse wave is reflected by a rigid support, the phase difference caused is

A mass m is suspended from a vertical spring and produces an extension of 0.1 m and comes in equilibrium. If the mass is then pulled down slightly from its equilibrium position and released, the time period of its oscillation will be (g = 10 m/s^2)

At what temperature will the average kinetic energy of gas molecules become twice its value at 27°C?

-- 17. An ideal hydrogen gas is maintained in a chamber at 0°C. The root mean square speed of its hydrogen molecules is 3180 m/s. If density of hydrogen gas at 0°C is 8.99 x 10^-2 kg/m^3, then pressure of the gas is

-- 16. In the cyclic process shown in the pressure-volume diagram, an ideal gas undergoes an adiabatic process from B to A. During this process, 50 J of work is done on the gas. When the gas is taken from A to B along the other path, it releases 10 J

The unit of thermal conductivity is

-- 14. A thin iron sheet has a circular hole of radius r at its centre. When the sheet is uniformly heated, the radius of the hole:

-- A vertical tube fitted with an airtight piston is used to lift a liquid column as the piston is pulled upward. As the piston rises, the liquid level in the tube also rises. To what maximum height water can be raised in the pipe using this method?

The breaking force of a wire depend on

An object of mass m is projected tangentially from the surface of earth (M, R) with speed v = √(3GM/2R) as shown in the figure. Which of the following statement(s) is/are correct?(A) Mechanical energy of the object keeps on decreasing with time(B) Th

-- 10. A motor of an engine is rotating about its axis with an angular velocity of 350 rev/min. It comes to rest in 45 s, after being switched off. The magnitude of average deceleration is

-- 9. A system of particles having total mass 2/√3 kg is kept in a gravity free space. Initial linear momentum of the system is zero. At t = 0, two forces start acting on the system in the same direction as shown in the F - t graph. The velocity of c

A block of mass m = 2 kg is released from the top of the smooth inclined surface of a wedge which is moving horizontally toward right at a constant velocity of v0 = 3 m/s. The work done by the force applied by the wedge on the block in 2 second will

-- Two balls collide head-on such that the coefficient of restitution is less than one. Which of the following is correct for the given collision?

-- Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): Even if the net external force acting a body is zero, its linear momentum may not necessarily be conserved.Reason (R): The inte

In the given system, pulley, string and springs are ideal. Initially the system is in equilibrium. If a1, a2, a3 represent the accelerations of the given blocks, then find the value of |a1| + |a2| + |a3| just after the spring(2) is cut. (g = 10 m/s^2

-- 4. The equation of trajectory of a particle projected in air is 2y = 2x - 3/2 x^2, the angle of its projection from horizontal is

A man wants to cross a river of width 400 m and reach the point directly opposite on the other bank in minimum time. The speed of the man while swimming in still water is 3 m/s, the speed of the river current is 4 m/s, and the man can walk along the

-- A lift whose floor to ceiling distance is d starts ascending with a constant acceleration of a. After a time t, a bolt falls from the ceiling of the lift, the time duration of free fall of the bolt will be (g is acceleration due to gravity)

The number of significant figures in 3.120 are

-- 80. The electric field component of an electromagnetic wave in a medium is represented by Ex = 0; Ey = 2.5 cos[(2π x 10^6)t - (π x 10^-2)x]; Ez = 0. The wave is

-- 79. The principle of working of transformer is

-- 78. The r.m.s value of potential difference V shown in the figure is

Two coils of self inductance L1 and L2 are placed near each other so that the total flux in one coil is completely linked with the other. Their mutual inductance (M) will be given by

-- A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate dB/dt. Loop 1 of radius R > r enclosed the region of magnetic field having radius r and another loop 2 of radius R is outside the re

-- Two geometrically similar magnets having same mass but magnetic moments M1 and M2 (M1 > M2) are taken and vibrate in a vibration magnetometer with their like poles together and unlike poles together. If the ratio of their time periods in both case

-- Two concentric coplanar circular loops of radii a and b carry currents x and y respectively in opposite directions (one clockwise and the other anticlockwise). Magnitude of net magnetic field at the centre of the loops is half of that due to x alo

A galvanometer has resistance of 30 Ω and a current of 1 mA is needed to give full scale deflection. The resistance required to be connected in series to convert it into a voltmeter of range 1 V will be

An open vessel having square base of side length 2 m and height 1 m, is filled with a liquid completely and is accelerated with acceleration a as shown in the figure. The minimum value of 'a' so that pressure at midpoint of AC is equal to the atmosph

-- 64. The dimensional formula of a physical quantity whose unit is pascal per second, is

-- 63. Which of the following is true for a planet moving around the sun?

-- 62. The acceleration-time graph of a particle moving along x-axis is shown. If the particle starts with 3 m/s at t = 0, find velocity at t = 4 s.

A metallic vessel of negligible heat capacity contains 0.5 kg of water (of specific heat capacity 4200 J kg^-1 K^-1). It is heated from 15°C to 85°C by 750 W immersion heater in 4 minutes. The average loss of power in watts to the surroundings from t

-- A cylindrical metallic rod is in thermal contact with two reservoirs of heat, its two ends conduct an amount of heat Q in time t in steady state. If this rod is replaced by another rod of same material having double radius of the first rod. The am

-- A person is standing on a weighing machine and observes that the reading is 60 kg, then suddenly jumps upward and observes that reading goes to 70 kg. Then his maximum upward acceleration is

Read both the statements carefully and choose the correct alternative.Assertion (A): The instantaneous power developed by a force acting on a body is measured as the dot product of instantaneous velocity of the body and the force acting on it at that

-- 49. Two waves are represented by equations y1 = 10 sin(ωt - kx + π/3) m, y2 = 5 sin(ωt - kx + π/6) m. Where x is in metre and t in second. The phase difference between them is

-- 48. What is thermal coefficient of volume expansion for an ideal gas at constant pressure?

-- A quantity z is given as z = (a^2 * b^(1/3)) / (c^2 * d^3). If percentage error in a, b, c and d are 2%, 3%, 2% and 1% respectively, then maximum percentage error in z will be

A block of mass 2 kg is pushed on a rough horizontal surface with momentum 4√10 kg m/s. If block stopped after moving a distance 8 m on the surface, then coefficient of friction between the block and the surface is

-- An inductor stores energy in form of

-- A conducting uniform rod of length l is placed in a uniform magnetic field B (pointing inward). At t = 0, it starts moving with velocity v and rotating with angular velocity ω about its centre as shown in the figure. The value of induced emf betwe

-- Consider the following statements:(A) Diamagnetic substances are weakly repelled by a magnetic field.(B) For a paramagnetic material, magnetisation is always in the direction opposite to the applied field.(C) Ferromagnetic substances retain magnet