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POST UTME NOUN 2025 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 2025 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $kappa$?

Correct A. \frac{Cd}{\epsilon_0A}

B. \frac{\epsilon_0A}{Cd}

C. \frac{Cd}{\epsilon_0A}

D. \frac{\epsilon_0A}{Cd}

Correct Answer: A

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Question 2

A particle of mass $m$ is confined to a one-dimensional box of length $L$. What is the energy of the ground state?

Correct A. \frac{\pi^2\hbar^2}{2mL^2}

B. \frac{2\pi^2\hbar^2}{mL^2}

C. \frac{3\pi^2\hbar^2}{mL^2}

D. \frac{4\pi^2\hbar^2}{mL^2}

Correct Answer: A

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Question 3

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. What is the impedance of the circuit at frequency $\omega$?

Correct A. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

B. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

C. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

D. \sqrt{R^2 + $ \omega L + \frac{1}{\omega C} $^2}

Correct Answer: A

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Question 4

A current $I$ flows through a wire of resis\tance $R$. What is the power dissipated by the wire?

Correct A. I^2R

B. IR

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

D. \frac{IR}{2}

Correct Answer: A

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Question 5

A voltage $V$ is applied across a resistor $R$. What is the current flowing through the resistor?

Correct A. \frac{V}{R}

B. RV

C. \frac{R}{V}

D. \frac{V^2}{R}

Correct Answer: A

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 x 10^-6 F, what is the charge stored on the plates when a potential difference of 10 V is applied?

Correct A. 0.08 C

B. 0.16 C

C. 0.32 C

D. 0.64 C

Correct Answer: A

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Question 7

A light ray passes through a prism of angle 60 degrees and emerges parallel to the incident ray. What is the angle of deviation?

Correct A. 30 degrees

B. 45 degrees

C. 60 degrees

D. 90 degrees

Correct Answer: A

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Question 8

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal acceleration?

Correct A. 1.33 m/s^2

B. 2.67 m/s^2

C. 4 m/s^2

D. 6.67 m/s^2

Correct Answer: A

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Question 9

A wire of resis\tance 10 ohms is connected in series with a 20 ohm resistor and a 30 ohm resistor. What is the total resis\tance?

A. 60 ohms

B. 70 ohms

Correct C. 80 ohms

D. 90 ohms

Correct Answer: C

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Question 10

A light ray passes through a convex lens of focal length 20 cm and emerges parallel to the incident ray. What is the angle of deviation?

Correct A. 30 degrees

B. 45 degrees

C. 60 degrees

D. 90 degrees

Correct Answer: A

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Question 11

A uniform magnetic field of 2 T is applied to a coil of wire with 50 turns. The coil has a radius of 0.05 m and a resis\tance of 10 Ω. If the current in the coil is 2 A, what is the induced emf?

A. 0.1 V

B. 0.2 V

Correct C. 0.5 V

D. 1 V

Correct Answer: C

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Question 12

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 0.1 m from its equilibrium position and released from rest, what is the angular frequency?

A. 1 rad/s

B. 2 rad/s

Correct C. 5 rad/s

D. 10 rad/s

Correct Answer: C

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Question 13

A sound wave with a frequency of 200 Hz and a speed of 343 m/s is traveling through a medium. If the wavelength is 1.7 m, what is the amplitude?

A. 0.01 m

Correct B. 0.05 m

C. 0.1 m

D. 0.2 m

Correct Answer: B

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Question 14

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine has an efficiency of 30%, what is the temperature of the cold reservoir?

A. 200 K

Correct B. 250 K

C. 300 K

D. 350 K

Correct Answer: B

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Question 15

A vector A has a magnitude of 5 m and makes an angle of 30° with the x-axis. If vector B has a magnitude of 3 m and makes an angle of 60° with the x-axis, what is the magnitude of the resul\tant vector?

A. 6 m

B. 7 m

Correct C. 8 m

D. 9 m

Correct Answer: C

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Question 16

A 5.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.25 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 1.25 m/s

Correct B. 2.50 m/s

C. 5.00 m/s

D. 10.0 m/s

Correct Answer: B

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Question 17

A parallel plate capacitor has plates of area 0.05 m^2 and separation 0.005 m. The capaci\tance is 10 nF. If a potential difference of 50 V is applied across the plates, calculate the energy stored in the capacitor.

Correct A. 0.125 J

B. 1.25 J

C. 12.5 J

D. 125 J

Correct Answer: A

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Question 18

A 2.0 kg object is moving in a circular path with a radius of 1.5 m. If the object has a speed of 4.0 m/s, calculate the centripetal force acting on the object.

A. 5.00 N

Correct B. 10.0 N

C. 20.0 N

D. 50.0 N

Correct Answer: B

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Question 19

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

Correct A. 20.0°

B. 30.0°

C. 40.0°

D. 50.0°

Correct Answer: A

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Question 20

A 10.0 Ω resistor is connected in series with a 20.0 Ω resistor and a 30.0 Ω resistor. If a voltage of 12.0 V is applied across the circuit, calculate the current flowing through the circuit.

A. 0.20 A

B. 0.40 A

Correct C. 0.60 A

D. 0.80 A

Correct Answer: C

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Question 21

A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?

A. 220 Hz

B. 240 Hz

C. 260 Hz

Correct D. 280 Hz

Correct Answer: D

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Question 22

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 12 V is applied across the plates, what is the charge stored on the capacitor?

Correct A. 120 μC

B. 140 μC

C. 160 μC

D. 180 μC

Correct Answer: A

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Question 23

A circuit consists of a 20 Ω resistor, a 10 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 15 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

B. 0.6 A

Correct C. 0.7 A

D. 0.8 A

Correct Answer: C

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Question 24

A gas is heated from 20°C to 50°C at cons\tant pressure. If the initial volume is 2 L, what is the final volume?

A. 3.2 L

B. 3.5 L

Correct C. 4.0 L

D. 4.5 L

Correct Answer: C

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Question 25

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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