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POST UTME MOUNTAIN TOP UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 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 orbit of radius $r$ in a uniform magnetic field of strength $B$. If the particle's velocity is $v$, what is the magnitude of the magnetic field?

Correct A. \frac{mv}{qr}

B. \frac{mv^2}{qr}

C. \frac{mv}{q^2r}

D. \frac{mv^2}{q^2r}

Correct Answer: A

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Question 2

A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. If the capaci\tance is $C$ and the potential difference between the plates is $V$, what is the magnitude of the electric field?

Correct A. \frac{Q}{\epsilon_0 A}

B. \frac{Q}{\epsilon_0 d}

C. \frac{V}{d}

D. \frac{V}{A}

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. If the circuit is driven by an AC voltage source of frequency $f$, what is the magnitude of the impedance?

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} $}

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

Correct Answer: A

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Question 4

A particle of mass $m$ is in a one-dimensional potential well of width $a$. If the particle's energy is $E$, what is the magnitude of the wave function at the center of the well?

Correct A. \sqrt{\frac{2mE}{\hbar^2}}

B. \sqrt{\frac{2mE}{a^2}}

C. \sqrt{\frac{2mE}{a^3}}

D. \sqrt{\frac{2mE}{a^4}}

Correct Answer: A

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Question 5

A gas of $N$ particles is in thermal equilibrium at temperature $T$. If the particles have an average kinetic energy of $\frac{3}{2}kT$, what is the magnitude of the pressure?

Correct A. \frac{NkT}{V}

B. \frac{NkT}{a^2}

C. \frac{NkT}{a^3}

D. \frac{NkT}{a^4}

Correct Answer: A

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Question 6

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 acceleration of 2 m/s^2, what is the force exerted on the particle?

A. 8 N

Correct B. 16 N

C. 32 N

D. 64 N

Correct Answer: B

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Question 7

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

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 8

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 Ω, what is the current flowing through the bulb?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 9

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed 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 10

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 20 minutes?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?

A. 4.0 x 10^-7 C

Correct B. 8.0 x 10^-7 C

C. 1.6 x 10^-6 C

D. 3.2 x 10^-6 C

Correct Answer: B

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Question 12

A light ray passes through a prism of angle 60° and is deviated by 30°. What is the angle of incidence?

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 13

A 100 Ω resistor is connected in series with a 20 μF capacitor and a 50 mH inductor. If the frequency is 50 Hz, what is the impedance of the circuit?

A. 120 Ω

B. 150 Ω

Correct C. 180 Ω

D. 200 Ω

Correct Answer: C

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Question 14

A particle of mass 2 kg is attached to a spring of spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the particle?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 15

A light source is placed 2 m from a convex lens of focal length 0.5 m. If the image dis\tance is 1.5 m, what is the magnification of the lens?

A. 2

Correct B. 3

C. 4

D. 5

Correct Answer: B

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Question 16

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. If the charge on the 10 μF capacitor is 50 μC, what is the charge on the 20 μF capacitor?

A. 25 μC

Correct B. 50 μC

C. 75 μC

D. 100 μC

Correct Answer: B

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Question 17

A 100 V DC source is connected in series with a 50 Ω resistor and a 20 μF capacitor. If the frequency is 50 Hz, what is the impedance of the circuit?

A. 120 Ω

B. 150 Ω

Correct C. 180 Ω

D. 200 Ω

Correct Answer: C

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Question 18

A 2 kg particle is attached to a spring of spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the particle?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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