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POST UTME NOUN 2024 Physics | Objective

Are you preparing for POST UTME NOUN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A uniform magnetic field of 2 T is applied to a coil of wire with 100 turns. The coil has a radius of 0.05 m and a resis\tance of 5 Ω. If the current in the coil is 2 A, what is the induced emf?

A. 0.1 V

Correct B. 0.2 V

C. 0.5 V

D. 1 V

Correct Answer: B

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Question 2

A block of mass 10 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 5 m/s

Correct Answer: C

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Question 3

A particle of mass 5 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, what is the centripetal acceleration?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 4 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 4

A circuit consists of a 10 Ω resistor, a 20 μF capacitor, and a 100 mH inductor in series. If the circuit is driven by a 10 V AC source with a frequency of 50 Hz, what is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 5

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. What is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 6

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. 15.9 Ω

Correct B. 16.2 Ω

C. 16.5 Ω

D. 16.8 Ω

Correct Answer: B

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Question 7

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the time period of the resulting simple harmonic motion.

A. 0.5 s

Correct B. 1.0 s

C. 1.5 s

D. 2.0 s

Correct Answer: B

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Question 8

A particle of mass 0.5 kg is moving in a circular path of radius 1.5 m with a cons\tant speed of 4 m/s. Calculate the magnitude of the centripetal force acting on the particle.

A. 2.4 N

B. 2.8 N

Correct C. 3.2 N

D. 3.6 N

Correct Answer: C

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Question 9

A 100 W light bulb is connected to a 220 V AC source. If the power factor of the bulb is 0.8, calculate the current drawn by the bulb.

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

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Question 10

A 5 kg block is moving in a straight line with a velocity of 2 m/s. If the block experiences a cons\tant acceleration of 1 m/s^2, calculate the time taken for the block to reach a velocity of 6 m/s.

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 12

A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 20 V battery. What is the time cons\tant of the circuit?

A. 0.1 s

B. 0.5 s

Correct C. 1 s

D. 2 s

Correct Answer: C

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Question 13

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. 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 14

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 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

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 15

A 10 μF capacitor is connected in parallel with a 100 μF capacitor. What is the equivalent capaci\tance of the circuit?

A. 10 μF

Correct B. 20 μF

C. 30 μF

D. 40 μF

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 net force acting on the particle?

A. 12 N

Correct B. 16 N

C. 20 N

D. 24 N

Correct Answer: B

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Question 17

A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the angle of the prism is 60°, what is the angle of emergence?

A. 40°

B. 50°

Correct C. 60°

D. 70°

Correct Answer: C

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Question 18

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, 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 20

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wavelength of the sound wave is 1.7 m, what is the amplitude of the sound wave?

Correct A. 0.27 m

B. 0.37 m

C. 0.47 m

D. 0.57 m

Correct Answer: A

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Question 21

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?

Correct A. 4F_c

B. 2F_c

C. F_c

D. \frac{F_c}{4}

Correct Answer: A

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Question 22

A capacitor consists of two parallel plates separated by a dis\tance $d$. The plates have a surface charge density of $\sigma$. What is the capaci\tance of the capacitor?

Correct A. \frac{\sigma A}{d}

B. \frac{\sigma A}{2d}

C. \frac{2\sigma A}{d}

D. \frac{\sigma A}{4d}

Correct Answer: A

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Question 23

A heat engine operates between two temperatures $T_1$ and $T_2$. The engine has an efficiency of $\eta = 1 - \frac{T_2}{T_1}$. If the temperature of the hot reservoir is doubled, what is the new efficiency of the engine?

Correct A. \frac{\eta}{2}

B. 2\eta

C. \eta

D. \frac{2\eta}{3}

Correct Answer: A

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Question 24

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. The projectile has a mass $m$ and a radius $r$. What is the time of flight of the projectile?

A. \frac{v_0\sin\theta}{g}

Correct B. \frac{2v_0\sin\theta}{g}

C. \frac{v_0\cos\theta}{g}

D. \frac{2v_0\cos\theta}{g}

Correct Answer: B

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Question 25

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit has a voltage source $V$ and a switch $S$. If the switch is closed at time $t=0$, what is the current in the circuit at time $t$?

Correct A. \frac{V}{R}$ 1 - e^{-\frac{R}{L}t} $

B. \frac{V}{R}$ 1 + e^{-\frac{R}{L}t} $

C. \frac{V}{R}$ e^{-\frac{R}{L}t} $

D. \frac{V}{R}$ e^{\frac{R}{L}t} $

Correct Answer: A

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