PYQ2025 Questions

A small bar magnet having pole strength m is placed inside a closed surface. If the total magnetic flux entering the surface is Φ, then the magnetic flux leaving the surface should be

-- Particles of masses m, 2m, 3m, ... nm are placed on x axis at distances x = r, x = 2r, x = 3r, ... nr from origin. The distance of centre of mass of the system of particles from origin is

-- Two spheres having masses 20 kg and 30 kg, moving in opposite directions with speeds of 15 m/s and 20 m/s respectively, strike each other and stick together. Kinetic energy of the composite body after collision will be

A force F = (3i - 2j + 5k) N acts on a body and displaces it through a displacement d = (-2i + 5j + k) m. Work done by the force on the body is

-- A particle starts moving along x-axis such that its position (x) with time (t) vary as x = 4t^3 - 3t. Particle will come to rest momentarily at (here x is in m and t is in seconds)

-- Match the quantities given in List-I with their dimensional formula given in List-II and tick the correct option.List I (a. Coefficient of viscosity, b. Gravitational Constant, c. Stefan's Constant, d. Planck's Constant)List II (i. [ML^2T^-1], ii.

-- A wire breaks under a stress of 2 x 10^5 Pa. If the density of the wire is 4 x 10^3 kg/m^3, then the minimum length of the wire which will break under its own weight will be

Given below are two statements:Statement I: Assuming zero potential at infinity, gravitational potential at a point can not be positive.Statement II: Gravitational force between two particles have inverse square dependence on distance between two par

-- Question text hereThe ratio of maximum frequency and minimum frequency of light emitted in Balmer series of hydrogen spectrum is

-- Question text hereBinding energy per nucleon of H² and He⁴ are 1.1 MeV and 7.0 MeV respectively. Energy released in the process H² + H² -> He⁴ is

-- Question text hereThe work done by the system in the cyclic process as shown in figure is (Circle between P=40-60 kPa and V=300-500 cm³)

-- Question text hereThe change in internal energy of a thermodynamical system which has absorbed 5000 cal of heat and does 5000 J of work is

Question text hereWhich of the following law of thermodynamics forms the basis for the definition of temperature?

-- Question text hereStatement A: Increasing the intensity of incident light increases the kinetic energy of photoelectrons.Statement B: Stopping potential is independent of intensity of incident radiation.Statement C: Maximum kinetic energy depends

-- Question text hereAssertion (A): de-Broglie wavelength of an electron accelerated by a potential decreases when voltage increases.Reason (R): Momentum of electron increases with increase in accelerating potential.

-- Question text hereIn a p-n junction diode, not connected to any circuit

-- Question text hereA nucleus with mass number 220 initially at rest emits an α-particle. If the Q-value of the reaction is 5.5 MeV, then kinetic energy of the α-particle is nearly

-- Question text hereThe difference between threshold wavelengths for two metal surfaces A and B having work functions ΦA = 9 eV and ΦB = 4.5 eV, in nm is (Given hc = 1242 eV nm)

-- Question text hereA particle of mass 5M at rest, disintegrates into two particles of mass 2M and 3M respectively having non-zero velocities. The ratio of de-Broglie wavelength of particle of mass 2M to that of 3M will be

-- Question text hereThe kinetic energy of the electron orbiting in the first excited state of hydrogen is 3.4 eV. The de-Broglie wavelength associated with the electron is

Question text hereStatement I: By doping silicon semiconductor with pentavalent material, the free electron density increases.Statement II: The n-Type semiconductor has net negative charge.

-- 7. Each diode is ideal in the circuit shown (5V source, four branches with 25 Ω resistors and diodes D1-D4). Which of the following options is correct?

-- 6. Binding energy of a certain nucleus is 27 x 10⁸ J. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus?

-- 5. The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 Å. The wavelength of the second spectral line in the Balmer series of singly-ionized helium atom is

-- 4. The radius of second orbit of an electron in hydrogen atom is 2.116 Å. The de-Broglie wavelength associated with this electron in this orbit would be

-- 3. When an electron in the hydrogen atom in ground state absorbs a photon of energy 12.09 eV, its angular momentum

-- 2. Magnetic moment due to the motion of the electron in nth energy state of hydrogen atom is proportional to

1. Assertion (A): X-Rays are fast moving electrons.Reason (R): X-Rays are deflected in electric field.

-- 6. An automobile moves on a road with a speed of 54 km/h. The radius of its wheels is 0.45 m and the moment of inertia of the wheel about its axis of rotation is 3 kg m². If the vehicle is brought to rest in 15 s, the magnitude of average torque t

-- 5. A prism of refractive index √3 and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of deviation is also A, then angle of prism is

-- 4. The 9th division of vernier scale coincides with 6th division of main scale in a vernier calliper. If one main scale division is 0.01 mm, then the least count of instrument is

-- 3. Which of the following represents the variation of maximum kinetic energy of emitted electron with intensity of light?

-- 2. Whenever a galvanometer is converted into voltmeter its current sensitivity

1. A nuclear reaction is given as: A + B -> C + D. If binding energies of A, B, C and D are given as B1, B2, B3 and B4 respectively, then the energy released in the reaction will be

-- 8. Assertion (A): Nuclear density is nearly same for all the atoms.Reason (R): The radius of nucleus is R = R₀A¹/³, where R₀ is constant and A is mass number.

-- 7. The radius of nuclei X is measured to be twice the radius of nuclei Y. The ratio of nucleons in X to Y is

-- 6. Which of the following options represent the variation of maximum kinetic energy of emitted electron with frequency of light (f)?

-- 5. The retarding potential required to stop electron of the de Broglie wavelength 1 nm is

-- 4. Consider a monochromatic linear source of light which is placed at a distance of r from a very small metal plate. Due to photoelectric effect electrons are ejected at rate N per second and it is found that maximum kinetic energy of photoelectro

-- 3. The radiation emitted when an electron jumps from n = 3 to n = 1 orbit in hydrogen atom falls on a metal to produce photoelectrons. If the work function of the metal is 1.08 eV, then stopping potential will be

-- 2. The work function of metal is 1.2 eV. Light of wavelength 4000 Å is incident on this metal surface. The maximum possible velocity of emitted photo-electrons will be

1. A resistance wire connected in the left gap of the meter bridge balances a 12 Ω resistance in the right gap. This happens at a point where the bridge wire is divided in the ratio 2 : 1. The unknown resistance in left gap is

-- 9. In a vernier calliper, the 9th division of vernier scale coincides with 6th division of main scale. 1 MSD = 0.01 mm. Least count is

-- 8. A prism of refractive index √3 and angle of prism A has minimum deviation equal to A. The angle of prism is

-- 7. Vector OA = 3î + 3ĵ. If the vector is rotated by 45° in clockwise direction, the new vector is

-- 6. Assertion: Number of significant digit in 0.002 is one and that in 0.500 is three.Reason: If number is less than 1, zeroes before non-zero numbers are not significant and zeroes after are significant.

-- 5. Two bodies have their moments of inertia I and 2I respectively. If their rotational kinetic energies are equal, their angular momenta will be in the ratio

-- 4. A wheel having moment of inertia 2 kg-m² about its vertical axis, rotates at the rate of 60 rpm. The torque which can stop the wheel's rotation in one minute would be

-- 3. The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t³ - 6t². The torque on the wheel becomes zero at

-- 2. Which of the following has the highest moment of inertia when each of them has the same mass and the same radius?