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POST UTME CHRISTOPHER UNIVERSITY 2022 Physics | Objective

Are you preparing for POST UTME CHRISTOPHER 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.

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Question 1

A parallel plate capacitor has a capaci\tance of 10 μF. If the potential difference between the plates is increased from 10 V to 20 V, what is the new charge on the capacitor?

A. 20 μC

Correct B. 40 μC

C. 60 μC

D. 80 μC

Correct Answer: B

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Question 2

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. What is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 3

A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 20%

Correct B. 30%

C. 40%

D. 50%

Correct Answer: B

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Question 4

A magnetic field of 0.5 T is directed perp\endicular to a current of 2 A. What is the magnitude of the force on a wire of length 1 m?

A. 0.5 N

B. 1 N

Correct C. 2 N

D. 5 N

Correct Answer: C

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Question 5

A \sinusoidal voltage of 10 V is applied to a circuit with a resis\tance of 5 Ω. What is the magnitude of the current in the circuit?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, find the value of $d$ in terms of $A$ and $C$.

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

B. \frac{A}{C\epsilon_0}

C. \frac{C\epsilon_0}{A}

D. \frac{A}{C}

Correct Answer: A

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Question 7

A gas at temperature $T$ and pressure $P$ is enclosed in a container of volume $V$. If the gas is heated to a temperature $T + \Delta T$, find the new volume $V'$ in terms of $V$, $P$, and $\Delta T$.

A. \frac{V}{1 + \frac{\Delta T}{T}}

B. \frac{V}{1 - \frac{\Delta T}{T}}

Correct C. \frac{V}{1 + \frac{\Delta T}{T}}

D. \frac{V}{1 - \frac{\Delta T}{T}}

Correct Answer: C

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Question 8

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, find the value of $F_c$ in terms of $m$, $v$, and $r$.

A. \frac{mv}{r}

Correct B. \frac{mv^2}{r}

C. \frac{m}{vr}

D. \frac{m}{r^2}

Correct Answer: B

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Question 9

A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with speed $v$. If the wave is reflected from a surface, find the frequency of the reflected wave in terms of $f$, $\lambda$, and $v$.

A. \frac{v}{\lambda}

B. \frac{\lambda}{v}

Correct C. f

D. \frac{v}{f}

Correct Answer: C

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Question 10

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source $V$ with a frequency $f$, find the impedance $Z$ of the circuit in terms of $R$, $L$, $C$, and $f$.

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

Correct 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: 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 is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?

A. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 12

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the group velocity?

Correct A. Positive x-direction

B. Negative x-direction

C. Positive y-direction

D. Negative y-direction

Correct Answer: A

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Question 13

A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from its equilibrium position, what is the equation of motion?

Correct A. x(t) = 2\sin$ \frac{\pi}{2}t $

B. x(t) = 2\sin$ \frac{\pi}{4}t $

C. x(t) = 2\sin$ \frac{\pi}{8}t $

D. x(t) = 2\sin$ \frac{\pi}{16}t $

Correct Answer: A

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Question 14

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, 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 15

A vector has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If the vector is rotated by 60° counterclockwise, what is the new magnitude of the vector?

A. 5 units

Correct B. 6 units

C. 7 units

D. 8 units

Correct Answer: B

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Question 16

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, determine the angular frequency of the block's motion.

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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Question 17

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the plates are then separated by a dis\tance of 0.05 m, determine the new capaci\tance of the capacitor.

A. 20 μF

B. 30 μF

Correct C. 40 μF

D. 50 μF

Correct Answer: C

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Question 18

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

A. 150 Ω

B. 200 Ω

Correct C. 250 Ω

D. 300 Ω

Correct Answer: C

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Question 19

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

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 20

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 projectile lands 10 m away from the launch point, determine the time of flight of the projectile.

A. 1 s

B. 2 s

Correct C. 3 s

D. 4 s

Correct Answer: C

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Question 21

A 100 V AC source is connected in series with a 20 Ω resistor and a 10 μF capacitor. If the frequency of the source is 50 Hz, determine the current flowing through the circuit.

A. 2 A

B. 3 A

Correct C. 4 A

D. 5 A

Correct Answer: C

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Question 22

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1.2 atm, what is the final pressure?

A. 1.5 atm

B. 1.8 atm

Correct C. 2.0 atm

D. 2.2 atm

Correct Answer: C

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Question 23

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration?

A. 10 m/s^2

B. 12 m/s^2

Correct C. 15 m/s^2

D. 18 m/s^2

Correct Answer: C

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Question 24

A magnetic field is produced by a current-carrying wire. If the current is 2 A and the length of the wire is 0.5 m, what is the magnitude of the magnetic field at a dis\tance of 0.2 m?

A. 0.1 T

B. 0.2 T

Correct C. 0.3 T

D. 0.4 T

Correct Answer: C

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Question 25

A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency is 30%, what is the work done?

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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