POST UTME MOUNTAIN TOP UNIVERSITY 2022 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 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 attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \sqrt{\frac{k}{m}}

B. \frac{k}{m}

C. \frac{m}{k}

D. \frac{1}{\sqrt{mk}}

Correct Answer: A

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Question 2

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source with a frequency $f$. Find the impedance of the circuit.

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 3

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with spring cons\tant $k$. The block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the kinetic energy of the block as a function of time.

Correct A. \frac{1}{2}m\omega^2x_0^2\sin^2$ \omega t $

B. \frac{1}{2}m\omega^2x_0^2\cos^2$ \omega t $

C. \frac{1}{2}m\omega^2x_0^2\sin$ \omega t $

D. \frac{1}{2}m\omega^2x_0^2\cos$ \omega t $

Correct Answer: A

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Question 4

A particle of mass $m$ is in a one-dimensional potential well of infinite height. Find the wave function of the particle.

Correct A. \psi(x) = Ae^{-\frac{m}{\hbar^2}Vx}

B. \psi(x) = Ae^{\frac{m}{\hbar^2}Vx}

C. \psi(x) = Ae^{-\frac{m}{\hbar^2}Vx^2}

D. \psi(x) = Ae^{\frac{m}{\hbar^2}Vx^2}

Correct Answer: A

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Question 5

A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The circuit is driven by an alternating voltage source with a frequency $f$. Find the reac\tance of the inductor.

Correct A. \omega L

B. \frac{1}{\omega L}

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

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

Correct Answer: A

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