Practice post utme bsu physics 2025 Past Questions

Question 1

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 2

A 5 L container is filled with 2 moles of an ideal gas at 300 K. The gas is then heated to 400 K while keeping the volume cons\tant. What is the change in internal energy of the gas?

A. 2000 J

Correct B. 4000 J

C. 6000 J

D. 8000 J

Correct Answer: B

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Question 3

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. A 12 V battery is connected across the circuit. What is the current flowing through the 5 Ω resistor?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 4

A 2 kg block is susp\ended from a spring with spring cons\tant 50 N/m. The block is then displaced by 0.1 m from its equilibrium position and released from rest. What is the maximum velocity of the block?

A. 0.5 m/s

Correct B. 1 m/s

C. 1.5 m/s

D. 2 m/s

Correct Answer: B

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Question 5

A 3 L container is filled with 1 mole of an ideal gas at 200 K. The gas is then compressed to 2 L while keeping the temperature cons\tant. What is the change in internal energy of the gas?

A. -2000 J

Correct B. -4000 J

C. -6000 J

D. -8000 J

Correct Answer: B

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Question 6

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

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

Correct B. \frac{4mv^2}{R}

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

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

Correct Answer: B

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Question 7

A light ray passes through a prism with an angle of incidence $\theta_i$ and an angle of re\fraction $\theta_r$. If the angle of deviation $\delta$ is given by $\delta = \theta_i - \theta_r$, what is the value of $\theta_i$ if $\delta = 30^\circ$ and $\theta_r = 20^\circ$?

Correct A. 50^\circ

B. 60^\circ

C. 70^\circ

D. 80^\circ

Correct Answer: A

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Question 8

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

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

B. \sqrt{\frac{mx^2}{k}}

C. \sqrt{\frac{k^2x^2}{m}}

D. \sqrt{\frac{m^2x^2}{k}}

Correct Answer: A

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Question 9

A car travels from point A to point B at an average speed of $v_{avg} = 60$ km/h. If the dis\tance between points A and B is $d = 240$ km, what is the time $t$ taken by the car to travel from point A to point B?

A. 4 hours

Correct B. 4.5 hours

C. 5 hours

D. 5.5 hours

Correct Answer: B

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Question 10

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

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

Correct B. \frac{4mv^2}{R}

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

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

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

A. 8 m/s^2

Correct B. 12 m/s^2

C. 16 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12

A wire of resis\tance 10 Ω is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a voltage of 120 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 13

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

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 14

A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.2 m. If the coil is rotated at a frequency of 50 Hz, what is the induced emf?

A. 10 V

Correct B. 20 V

C. 30 V

D. 40 V

Correct Answer: B

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Question 15

A spring of spring cons\tant 100 N/m is stretched by 0.5 m. What is the potential energy stored in the spring?

A. 25 J

Correct B. 50 J

C. 75 J

D. 100 J

Correct Answer: B

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Question 16

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the total energy of the particle at time t = 0.

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 17

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant 200 N/m. The block is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 18

A 10 kg object is moving in a circular path with a cons\tant speed of 5 m/s. The force acting on the object is directed towards the center of the circle and has a magnitude of 20 N. Calculate the centripetal acceleration of the object.

A. 10 m/s^2

Correct B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: B

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Question 19

A 2 kg object is moving in a circular path with a cons\tant speed of 3 m/s. The force acting on the object is directed towards the center of the circle and has a magnitude of 10 N. Calculate the centripetal force required to keep the object moving in a circular path with a radius of 1 m.

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 20

A 5 kg object is moving in a circular path with a cons\tant speed of 4 m/s. The force acting on the object is directed towards the center of the circle and has a magnitude of 20 N. Calculate the centripetal acceleration of the object.

A. 10 m/s^2

Correct B. 20 m/s^2

C. 30 m/s^2

D. 40 m/s^2

Correct Answer: B

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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 force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 24 N

Correct Answer: B

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Question 22

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

Correct A. 0.45 A

B. 0.55 A

C. 0.65 A

D. 0.75 A

Correct Answer: A

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Question 23

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm away from the lens. What is the magnification of the image?

A. 0.5

Correct B. 0.6

C. 0.7

D. 0.8

Correct Answer: B

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Question 24

A thermodynamic system undergoes a process from state A to state B. If the internal energy of the system increases by 100 J and the work done on the system is 50 J, what is the heat added to the system?

A. 150 J

Correct B. 200 J

C. 250 J

D. 300 J

Correct Answer: B

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Question 25

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 120 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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