Practice Post UTME BABCOCK UNIVERSITY physics 2025 Past Questions

Question 1

A magnetic field of 0.5 T is applied to a current-carrying wire of length 1 m. Calculate the force exerted on the wire.

A. 0.1 N

B. 0.2 N

C. 0.3 N

D. 0.4 N

Question 2

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}

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

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

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

Question 3

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

C. 600 K

D. 700 K

Question 4

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

B. 30 μF, 150 J

C. 40 μF, 200 J

D. 50 μF, 250 J

Question 5

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

C. 6 m/s

D. 8 m/s

Question 6

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}

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

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

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

Question 7

A point charge of +2 μC is placed at the center of a spherical conductor of radius 0.1 m. Calculate the electric flux through the surface of the sphere.

A. 0 Nm^2/C

B. 2π × 10^-7 Nm^2/C

C. 4π × 10^-7 Nm^2/C

D. 6π × 10^-7 Nm^2/C

Question 8

A gas at 300 K is compressed from 10 L to 5 L. If the initial pressure is 1 atm, calculate the final pressure.

A. 2 atm

B. 4 atm

C. 6 atm

D. 8 atm

Question 9

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 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

C. 6 m/s

D. 8 m/s

Question 10

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

A. 20°

B. 25°

C. 30°

D. 35°

Question 11

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

B. 0.5 N

C. 1 N

D. 2 N

Question 12

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}

B. \frac{3f}{2}

C. \frac{4f}{3}

D. \frac{5f}{4}

Question 13

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

B. 0.1 m

C. 0.15 m

D. 0.2 m

Question 14

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

C. 8 m/s^2

D. 10 m/s^2

Question 15

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. 6 m/s^2

B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

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