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POST UTME BABCOCK UNIVERSITY 2022 Physics | Objective

Are you preparing for POST UTME BABCOCK UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

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 centripetal force $F_c = \frac{mv^2}{r}$, what is the angular frequency $omega$ of the particle's motion?

A. \frac{1}{\sqrt{r}}

B. \frac{v}{\sqrt{r}}

C. \frac{1}{\sqrt{v}}

Correct D. \frac{v}{r}

Correct Answer: D

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Question 2

A 2.0 m long wire is carrying a current of 5.0 A. If the wire is placed in a magnetic field of strength 0.50 T, what is the magnitude of the force exerted on the wire?

A. 0.25 N

B. 0.50 N

Correct C. 1.0 N

D. 2.0 N

Correct Answer: C

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Question 3

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 10 m

B. 15 m

Correct C. 20 m

D. 25 m

Correct Answer: C

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Question 4

A 100 Ω resistor is connected in series with a 200 Ω resistor and a 300 Ω resistor. If a 12 V battery is connected across the circuit, what is the total resis\tance of the circuit?

A. 100 Ω

B. 200 Ω

C. 300 Ω

Correct D. 600 Ω

Correct Answer: D

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Question 5

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. If a 12 V battery is connected across the circuit, what is the total capaci\tance of the circuit?

A. 10 μF

B. 15 μF

C. 20 μF

Correct D. 30 μF

Correct Answer: D

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Question 6

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.

A. 5 rad/s

B. 10 rad/s

Correct C. 20 rad/s

D. 50 rad/s

Correct Answer: C

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Question 7

A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 1 m from its equilibrium position and released from rest, determine the maximum speed of the block as it passes through the equilibrium position.

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 8

A 2 μC point charge is placed at the origin of a coordinate system. A second point charge of -3 μC is placed on the x-axis at a dis\tance of 0.5 m from the origin. Determine the magnitude of the electric field at a point on the x-axis 1 m from the origin.

A. 100 N/C

B. 200 N/C

Correct C. 300 N/C

D. 400 N/C

Correct Answer: C

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Question 9

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 100 V battery. Determine the time cons\tant of the circuit.

A. 0.2 s

B. 0.5 s

Correct C. 1 s

D. 2 s

Correct Answer: C

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Question 10

A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. Determine the mass number and atomic number of the daughter nucleus.

Correct A. 234, 90

B. 238, 92

C. 240, 94

D. 242, 96

Correct Answer: A

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Question 11

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. What is the total resis\tance in the circuit?

A. 10 Ω

Correct B. 12.5 Ω

C. 15 Ω

D. 20 Ω

Correct Answer: B

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Question 12

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 13

A particle is projected at an angle of 60° to the horizontal with an initial velocity of 20 m/s. What is the time of flight?

A. 2 s

Correct B. 4 s

C. 6 s

D. 8 s

Correct Answer: B

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Question 14

A 10 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 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 15

A 5 Ω resistor is connected in parallel with a 10 Ω resistor. What is the total resis\tance in the circuit?

A. 2.5 Ω

Correct B. 3.33 Ω

C. 5 Ω

D. 10 Ω

Correct Answer: B

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Question 16

A particle of mass 0.5 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. 0.5 J

Correct B. 1 J

C. 2 J

D. 5 J

Correct Answer: B

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Question 17

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 18

A block of mass 2 kg is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant 50 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. 1 rad/s

Correct B. 2 rad/s

C. 3 rad/s

D. 4 rad/s

Correct Answer: B

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Question 19

A 5 Ω resistor is connected in parallel with a 10 Ω resistor. If a 15 V battery is connected across the circuit, what is the total resis\tance of the circuit?

A. 2.5 Ω

Correct B. 3.3 Ω

C. 4.2 Ω

D. 5.6 Ω

Correct Answer: B

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Question 20

A 20 Ω resistor is connected in series with a 30 Ω resistor and a 40 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 20 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 21

A uniform magnetic field of strength 2 T is applied to a current-carrying wire of length 0.5 m. If the current in the wire is 5 A, calculate the magnitude of the force exerted on the wire.

A. 0.25 N

B. 0.5 N

Correct C. 1 N

D. 2 N

Correct Answer: C

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Question 22

A capacitor of capaci\tance 10 μF is charged to a potential difference of 5 V. Calculate the energy stored in the capacitor.

A. 0.25 J

Correct B. 0.5 J

C. 1 J

D. 2 J

Correct Answer: B

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Question 23

A block of mass 2 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. Calculate the frequency of oscillation of the block.

A. 1 Hz

B. 2 Hz

Correct C. 5 Hz

D. 10 Hz

Correct Answer: C

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Question 24

A heat engine operates between a temperature of 500 K and 300 K. Calculate the efficiency of the engine.

A. 0.2

Correct B. 0.4

C. 0.6

D. 0.8

Correct Answer: B

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Question 25

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. Calculate the equivalent resis\tance of the circuit.

A. 35 Ω

B. 40 Ω

Correct C. 45 Ω

D. 50 Ω

Correct Answer: C

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