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POST UTME CHRISTOPHER UNIVERSITY 2020 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 2020 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 confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the expectation value of the position of the particle?

Correct A. $ \frac{L}{2} $

B. $ \frac{L}{4} $

C. $ \frac{3L}{4} $

D. $ L $

Correct Answer: A

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Question 2

A simple harmonic motion is described by the equation $ \theta\( t \ $ = A \cos$ omega t + phi $), where $A$ is the amplitude, $omega$ is the angular frequency, and $phi$ is the phase angle. If the amplitude is $A = 2$ cm, the angular frequency is $omega = 3$ rad/s, and the phase angle is $phi = \frac{pi}{4}$, what is the displacement of the particle at time $t = 2$ s?

Correct A. $ 2 \cos\left\( 6 + \frac{\pi}{4}\right $

B. $ 2 \sin\left\( 6 + \frac{\pi}{4}\right $

C. $ 2 \cos\left\( 6 - \frac{\pi}{4}\right $

D. $ 2 \sin\left\( 6 - \frac{\pi}{4}\right $

Correct Answer: A

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Question 3

A magnetic field is described by the equation $ vec{B} = B_0 \sinleft\( \frac{pi x}{L}\right \ $ hat{k}), where $B_0$ is the maximum magnetic field strength, $L$ is the length of the region, and $hat{k}$ is the unit vector in the $z$-direction. What is the magnetic flux through a rec\tangular loop of length $L$ and width $w$ placed in the region?

Correct A. $ \frac{2 B_0 L w}{\pi} $

B. $ \frac{B_0 L w}{\pi} $

C. $ \frac{B_0 L w}{2\pi} $

D. $ \frac{B_0 L w}{4\pi} $

Correct Answer: A

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Question 4

A ray of light passes through a prism and is re\fracted. The angle of incidence is $i = 30^\circ$, the angle of re\fraction is $r = 20^\circ$, and the angle of deviation is $D = 40^\circ$. What is the re\fractive index of the prism?

Correct A. $ \frac{\sin 30^\circ}{\sin 20^\circ} $

B. $ \frac{\sin 20^\circ}{\sin 30^\circ} $

C. $ \frac{\sin 40^\circ}{\sin 20^\circ} $

D. $ \frac{\sin 30^\circ}{\sin 40^\circ} $

Correct Answer: A

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Question 5

A projectile is launched from the origin with an initial velocity of $v_0 = 20$ m/s at an angle of $\theta = 45^\circ$ above the horizontal. What is the maximum height reached by the projectile?

Correct A. $ \frac{200^2 \sin^2 45^\circ}{2 \cdot 9.8} $

B. $ \frac{200^2 \cos^2 45^\circ}{2 \cdot 9.8} $

C. $ \frac{200^2 \sin^2 45^\circ}{2 \cdot 10} $

D. $ \frac{200^2 \cos^2 45^\circ}{2 \cdot 10} $

Correct Answer: A

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Question 6

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the particle'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 7

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

A. 20°

Correct B. 22.5°

C. 25°

D. 27.5°

Correct Answer: B

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Question 8

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. Calculate the current flowing through the circuit.

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 9

A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, calculate the work done per cycle.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

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Question 10

A force of 10 N acts on an object, cau\sing it to accelerate at 2 m/s². If the object's mass is 5 kg, calculate its initial velocity.

A. 5 m/s

Correct B. 10 m/s

C. 15 m/s

D. 20 m/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 is subject to a centripetal force of 12 N, what is the magnitude of the force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 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. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 13

A particle of mass 1 kg is moving in a simple harmonic motion with an angular frequency of 2 rad/s. If the particle is at its maximum displacement of 0.5 m, what is its velocity?

A. 0 m/s

B. 1 m/s

Correct C. 2 m/s

D. 3 m/s

Correct Answer: C

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Question 14

A heat engine operates between two reservoirs at temperatures 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. 0.2

B. 0.3

Correct C. 0.4

D. 0.5

Correct Answer: C

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Question 15

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subject to a centripetal force of 20 N, what is the magnitude of the force?

A. 15 N

Correct B. 20 N

C. 25 N

D. 30 N

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 acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 17

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?

Correct A. 10^-5 C

B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: A

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Question 18

A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 20 N is applied to the block, cau\sing it to accelerate at 4 m/s^2. What is the normal force exerted by the surface on the block?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 19

A wave of frequency 100 Hz and amplitude 0.1 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?

Correct A. 0.1 m

B. 0.2 m

C. 0.3 m

D. 0.4 m

Correct Answer: A

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Question 20

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?

A. 3 m/s^2

B. 4 m/s^2

Correct C. 5 m/s^2

D. 6 m/s^2

Correct Answer: C

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Question 21

A capacitor consists of two parallel plates, each of area 0.2 m^2, separated by a dis\tance of 0.02 m. If the capaci\tance of the capacitor is 2 * 10^-6 F, what is the charge stored on the capacitor when a potential difference of 20 V is applied across it?

Correct A. 4 * 10^-5 C

B. 4 * 10^-4 C

C. 4 * 10^-3 C

D. 4 * 10^-2 C

Correct Answer: A

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Question 22

A block of mass 3 kg is placed on a horizontal, frictionless surface. A horizontal force of 30 N is applied to the block, cau\sing it to accelerate at 6 m/s^2. What is the normal force exerted by the surface on the block?

A. 20 N

Correct B. 30 N

C. 40 N

D. 50 N

Correct Answer: B

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Question 23

A wave of frequency 50 Hz and amplitude 0.2 m is traveling along a string. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?

A. 0.2 m

B. 0.3 m

C. 0.4 m

D. 0.5 m

Correct Answer: VIEW ANSWER

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Question 24

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 0.2 m from its equilibrium position and released from rest, calculate the total energy of the particle as a function of time.

Correct A. E(t) = 2 \cos^2(10t)

B. E(t) = 2 \sin^2(10t)

C. E(t) = 2 \cos(10t)

D. E(t) = 2 \sin(10t)

Correct Answer: A

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Question 25

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a radius of 0.1 m. If the current in the coil is 2 A, calculate the torque experienced by the coil.

Correct A. \tau = 0.1 Nm

B. \tau = 0.5 Nm

C. \tau = 1 Nm

D. \tau = 2 Nm

Correct Answer: A

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