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POST UTME UI 2022 Physics | Objective

Are you preparing for POST UTME UI 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 uniform magnetic field of magnitude 2.0 T is directed along the positive z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.10 A m^2

Correct B. 0.20 A m^2

C. 0.30 A m^2

D. 0.40 A m^2

Correct Answer: B

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Question 2

A point charge of +2.0 μC is placed at the origin. What is the electric potential at a point 0.50 m away from the charge?

A. 100 V

Correct B. 200 V

C. 300 V

D. 400 V

Correct Answer: B

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Question 3

A particle of mass 0.50 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 4

A 12 V battery is connected to a 4 Ω resistor. What is the current flowing through the resistor?

A. 1.0 A

Correct B. 2.0 A

C. 3.0 A

D. 4.0 A

Correct Answer: B

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Question 5

A capacitor of capaci\tance 10 μF is charged to a potential difference of 5.0 V. What is the energy stored in the capacitor?

A. 0.25 J

Correct B. 0.50 J

C. 0.75 J

D. 1.0 J

Correct Answer: B

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Question 6

A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum value of the voltage is 100 V, calculate the average power dissipated in the resistor.

A. 250 W

Correct B. 500 W

C. 750 W

D. 1000 W

Correct Answer: B

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Question 7

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, calculate the heat transferred to the system.

A. 150 J

Correct B. 200 J

C. 250 J

D. 300 J

Correct Answer: B

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Question 8

A radioactive sample decays from 100 g to 50 g in 10 years. If the half-life of the sample is 5 years, calculate the decay cons\tant.

A. 0.05 yr^{-1}

Correct B. 0.1 yr^{-1}

C. 0.15 yr^{-1}

D. 0.2 yr^{-1}

Correct Answer: B

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Question 9

A vector A has components A_x = 2 m and A_y = 3 m. If the vector B has components B_x = -1 m and B_y = 4 m, calculate the magnitude of the resul\tant vector A + B.

A. 5 m

B. 6 m

Correct C. 7 m

D. 8 m

Correct Answer: C

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Question 10

A capacitor C is connected to a 100 V DC source. If the capaci\tance is 10 μF, calculate the charge stored on the capacitor.

A. 1000 μC

Correct B. 2000 μC

C. 3000 μC

D. 4000 μC

Correct Answer: B

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Question 11

A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current-carrying wire of length 0.5 m is placed in the x-y plane, making an angle of 30° with the x-axis. If the current in the wire is 5 A, what is the magnitude of the magnetic force experienced by 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 12

A capacitor consists of two parallel plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, what is the charge stored on the capacitor when a potential difference of 5 V is applied across it?

A. 0.05 C

Correct B. 0.1 C

C. 0.5 C

D. 1 C

Correct Answer: B

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Question 13

A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, what is the activity after 5 hours?

A. 500 Bq

Correct B. 750 Bq

C. 1000 Bq

D. 1250 Bq

Correct Answer: B

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Question 14

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

Correct A. 0.6 A

B. 1 A

C. 1.2 A

D. 1.5 A

Correct Answer: A

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Question 15

A 2 kg object is moving in a circular path with a speed of 4 m/s. If the radius of the circle is 1 m, what is the centripetal force acting on the object?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 16

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

A. 10 ohms

Correct B. 15 ohms

C. 20 ohms

D. 25 ohms

Correct Answer: B

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Question 17

A ray of light passes through a convex lens and is focused at a dis\tance of 20 cm from the lens. If the focal length of the lens is 15 cm, what is the object dis\tance?

A. -10 cm

B. -15 cm

Correct C. -20 cm

D. -25 cm

Correct Answer: C

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Question 18

A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?

Correct A. 236

B. 238

C. 240

D. 242

Correct Answer: A

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Question 19

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 transferred to the system?

A. -50 J

B. 0 J

C. 50 J

Correct D. 100 J

Correct Answer: D

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Question 20

A 10 ohm resistor is connected in parallel with a 20 ohm resistor. What is the equivalent resis\tance?

A. 5 ohms

B. 10 ohms

Correct C. 15 ohms

D. 20 ohms

Correct Answer: C

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Question 21

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is $C$. If the separation is doubled and the area is halved, what is the new capaci\tance?

Correct A. \frac{C}{4}

B. \frac{C}{2}

C. C

D. 4C

Correct Answer: A

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Question 22

A light ray passes through a convex lens of focal length $f$ and is incident at an angle $\theta$ to the principal axis. What is the angle of deviation?

Correct A. \theta - \frac{\sin\theta}{f}

B. \theta + \frac{\sin\theta}{f}

C. \frac{\sin\theta}{f}

D. \theta + \frac{\sin\theta}{f^2}

Correct Answer: A

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Question 23

A simple p\endulum of length $L$ and mass $m$ is released from rest at an angle $\theta$ to the vertical. What is the angular frequency?

Correct A. \sqrt{\frac{g}{L}}

B. \sqrt{\frac{g}{L}}\sin\theta

C. \sqrt{\frac{g}{L}}\cos\theta

D. \sqrt{\frac{g}{L}}\tan\theta

Correct Answer: A

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Question 24

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by a voltage source $V(t) = V_0\cos\omega t$. What is the impedance?

Correct A. \sqrt{R^2 + L^2\omega^2}

B. \sqrt{R^2 - L^2\omega^2}

C. \sqrt{R^2 + L^2\omega^2}\cos\omega t

D. \sqrt{R^2 - L^2\omega^2}\cos\omega t

Correct Answer: A

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Question 25

A light ray passes through a prism of angle $\alpha$ and is incident at an angle $\theta$ to the principal axis. What is the angle of deviation?

A. \alpha - \theta

B. \alpha + \theta

Correct C. \alpha - \theta + \sin\alpha\cos\theta

D. \alpha + \theta - \sin\alpha\cos\theta

Correct Answer: C

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