Practice Post UTME BABCOCK UNIVERSITY physics 2025 Past Questions

Question 1

A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. Find the time of flight and the maximum height reached by the particle.

Correct A. 5 s, 5 m

B. 10 s, 10 m

C. 15 s, 15 m

D. 20 s, 20 m

Correct Answer: A

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Question 2

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 100 V. If the plates are then separated by a dis\tance of 5 mm, find the new capaci\tance and the energy stored in the capacitor.

A. 20 μF, 100 J

Correct B. 30 μF, 150 J

C. 40 μF, 200 J

D. 50 μF, 250 J

Correct Answer: B

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Question 3

A current of 5 A flows through a resistor of 10 Ω. Find the power dissipated in the resistor.

Correct A. 25 W

B. 50 W

C. 75 W

D. 100 W

Correct Answer: A

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Question 4

A wave has a frequency of 100 Hz and a wavelength of 2 m. Find the speed of the wave.

Correct A. 200 m/s

B. 300 m/s

C. 400 m/s

D. 500 m/s

Correct Answer: A

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Question 5

A charged particle of mass 1 kg and charge 2 C is moving in a circular path of radius 1 m with a speed of 5 m/s. Find the magnetic field strength.

Correct A. 0.1 T

B. 0.2 T

C. 0.3 T

D. 0.4 T

Correct Answer: A

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Question 6

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 15 days?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 7

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 8

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 9

A photon has a wavelength of 500 nm. What is its energy?

A. 2.5 eV

B. 5 eV

Correct C. 10 eV

D. 20 eV

Correct Answer: C

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Question 10

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current in the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 11

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force required to maintain the circular orbit?

A. 4\frac{mv^2}{r}

Correct B. \frac{2mv^2}{r}

C. \frac{mv^2}{2r}

D. \frac{mv^2}{4r}

Correct Answer: B

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Question 12

A light ray passes from air into a glass of re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction?

Correct A. 20^\circ

B. 30^\circ

C. 40^\circ

D. 50^\circ

Correct Answer: A

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Question 13

A block of mass $m$ is attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed of the block as it passes through the equilibrium position?

A. \sqrt{\frac{kx^2}{m}}

Correct B. \sqrt{\frac{2kx^2}{m}}

C. \sqrt{\frac{3kx^2}{m}}

D. \sqrt{\frac{4kx^2}{m}}

Correct Answer: B

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Question 14

A light source is placed at a dis\tance $d$ from a convex lens of focal length $f$. If the light source is moved to a dis\tance $2d$ from the lens, what is the new image dis\tance?

A. \frac{2f}{3}

Correct B. \frac{3f}{2}

C. \frac{4f}{3}

D. \frac{5f}{4}

Correct Answer: B

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Question 15

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled, what is the new centripetal force required to maintain the circular orbit?

A. 4\frac{mv^2}{r}

Correct B. \frac{2mv^2}{r}

C. \frac{mv^2}{2r}

D. \frac{mv^2}{4r}

Correct Answer: B

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Question 16

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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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Question 17

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?

A. 1.33 atm

B. 1.5 atm

Correct C. 1.67 atm

D. 2 atm

Correct Answer: C

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Question 18

A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m. If the current is 5 A, what is the magnitude of the force on the wire?

A. 0.25 N

Correct B. 0.5 N

C. 1 N

D. 2 N

Correct Answer: B

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Question 19

A photon of energy 2 eV is incident on a metal surface with work function 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 20

A block of mass 5 kg is attached to a horizontal spring with spring cons\tant 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 21

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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 8 m/s^2

C. 10 m/s^2

D. 12 m/s^2

Correct Answer: A

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Question 22

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?

Correct A. 8.85 x 10^-7 C

B. 8.85 x 10^-6 C

C. 8.85 x 10^-5 C

D. 8.85 x 10^-4 C

Correct Answer: A

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Question 23

A wave of frequency 100 Hz and amplitude 0.1 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?

A. 0.05 m

Correct B. 0.1 m

C. 0.15 m

D. 0.2 m

Correct Answer: B

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Question 24

A simple harmonic motion has a period of 2 s and an amplitude of 0.5 m. If the motion is described by the equation x(t) = 0.5 \cos(πt), what is the angular frequency of the motion?

Correct A. π rad/s

B. 2π rad/s

C. 3π rad/s

D. 4π rad/s

Correct Answer: A

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Question 25

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 6 N, what is the magnitude of the acceleration of the particle?

Correct A. 6 m/s^2

B. 8 m/s^2

C. 10 m/s^2

D. 12 m/s^2

Correct Answer: A

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