Practice Post UTME JOSEPH AYO BABALOLA UNIVERSITY physics 2025 Past Questions

Question 1

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

Correct A. \frac{mv^2}{R}

B. \frac{mv^2}{2R}

C. \frac{mv^2}{4R}

D. \frac{mv^2}{8R}

Correct Answer: A

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Question 2

A gas is contained in a cylinder of volume $V$ and is heated from temperature $T_1$ to $T_2$. If the gas is ideal and the process is isothermal, what is the change in the internal energy of the gas?

Correct A. \Delta U = 0

B. \Delta U = nC_V$ T_2 - T_1 $

C. \Delta U = nC_P$ T_2 - T_1 $

D. \Delta U = nR$ T_2 - T_1 $

Correct Answer: A

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Question 3

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile is subject to a uniform gravitational field of strength $g$, what is the maximum height reached by the projectile?

Correct A. \frac{v_0^2\sin^2\theta}{2g}

B. \frac{v_0^2\cos^2\theta}{2g}

C. \frac{v_0^2\sin\theta}{2g}

D. \frac{v_0^2\cos\theta}{2g}

Correct Answer: A

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Question 4

A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle is in the ground state, what is the energy of the particle?

Correct A. \frac{\pi^2\hbar^2}{2mL^2}

B. \frac{2\pi^2\hbar^2}{2mL^2}

C. \frac{3\pi^2\hbar^2}{2mL^2}

D. \frac{4\pi^2\hbar^2}{2mL^2}

Correct Answer: A

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Question 5

A wire of length $L$ and cross-sectional area $A$ is stretched by a force $F$. If the Young's modulus of the wire is $Y$, what is the strain in the wire?

Correct A. \frac{FL}{AY}

B. \frac{FA}{LY}

C. \frac{FL}{2AY}

D. \frac{FA}{2LY}

Correct Answer: A

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Question 6

A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 200 g, and the mass of the \alpha particle is 4 u, what is the mass of the resulting nucleus?

A. 196 g

Correct B. 198 g

C. 200 g

D. 202 g

Correct Answer: B

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Question 7

A charged particle moves through a uniform magnetic field. If the particle's velocity is 5 m/s, the magnetic field strength is 0.5 T, and the charge of the particle is 2 x 10^-19 C, what is the force exerted on the particle?

A. 1 x 10^-15 N

Correct B. 5 x 10^-15 N

C. 1 x 10^-14 N

D. 5 x 10^-14 N

Correct Answer: B

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Question 8

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?

A. 100 m/s

B. 200 m/s

Correct C. 400 m/s

D. 800 m/s

Correct Answer: C

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Question 9

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 10

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1 A

Correct B. 2 A

C. 3 A

D. 4 A

Correct Answer: B

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Question 11

A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12

A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, what is the new capaci\tance of the capacitor?

A. 10 μF

Correct B. 15 μF

C. 20 μF

D. 25 μF

Correct Answer: B

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Question 13

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 2 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 14

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity of the sample after 4 hours?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 15

A photon of energy 2 eV is incident on a metal surface with a work function of 1 eV. What is the maximum kinetic energy of the emitted electron?

A. 0.5 eV

B. 1 eV

Correct C. 1.5 eV

D. 2 eV

Correct Answer: C

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Question 16

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, determine the angle between the force and the radius vector.

A. 30°

B. 45°

Correct C. 60°

D. 75°

Correct Answer: C

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Question 17

A 12 V battery is connected in series with a 4 Ω resistor and a 6 Ω resistor. If the current through the circuit is 2 A, determine the voltage across the 6 Ω resistor.

A. 8 V

B. 12 V

Correct C. 16 V

D. 20 V

Correct Answer: C

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Question 18

A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium. If the speed of the wave is 300 m/s, determine the amplitude of the wave.

A. 0.1 m

Correct B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: B

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Question 19

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a volume of 10 m^3. If the gas is ideal, determine the final pressure of the gas.

A. 1 atm

Correct B. 1.5 atm

C. 2 atm

D. 2.5 atm

Correct Answer: B

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Question 20

A block of mass 5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, determine the maximum velocity of the block.

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 21

A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the initial mass of the sample is 200 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after the decay?

Correct A. 196 g

B. 198 g

C. 200 g

D. 202 g

Correct Answer: A

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Question 22

A block of mass 10 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block, cau\sing it to accelerate. What is the acceleration of the block?

A. 0.5 m/s^2

Correct B. 1 m/s^2

C. 2 m/s^2

D. 5 m/s^2

Correct Answer: B

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Question 23

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 24

A container holds 5 liters of water at a pressure of 1 atm. What is the pressure of the water at a depth of 10 meters?

A. 1.5 atm

B. 2 atm

Correct C. 2.5 atm

D. 3 atm

Correct Answer: C

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Question 25

A spring with a spring cons\tant of 100 N/m is stretched by 2 meters. What is the potential energy stored in the spring?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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