POST UTME COVENANT UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME COVENANT UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area $A$ and separation $d$. If the electric field between the plates is $E$, what is the capaci\tance?
Correct A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{E}
C. \frac{E A}{d}
D. \frac{\epsilon_0 E}{d}

Correct Answer: A

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Question 2
A ray of light passes from air into a glass slab of re\fractive index $\mu$. If the angle of incidence is $\theta_i$ and the angle of re\fraction is $\theta_r$, what is the relationship between $\theta_i$ and $\theta_r$?
A. $\mu = \frac{\sin \theta_i}{\sin \theta_r}$
Correct B. $\mu = \frac{\sin \theta_r}{\sin \theta_i}$
C. $\mu = \frac{\cos \theta_i}{\cos \theta_r}$
D. $\mu = \frac{\cos \theta_r}{\cos \theta_i}$

Correct Answer: B

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Question 3
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the energy of the particle is $E$, what is the wavelength of the particle?
Correct A. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
B. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
C. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$
D. $\lambda = \frac{2\pi \hbar}{\sqrt{2mE}}$

Correct Answer: A

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Question 4
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. If the energy released is $Q$, what is the relationship between $Q$ and the masses of the parent and daughter nuclei?
Correct A. $Q = \( m_{parent} - m_{daughter} \)c^2$
B. $Q = \( m_{daughter} - m_{parent} \)c^2$
C. $Q = \( m_{parent} + m_{daughter} \)c^2$
D. $Q = \( m_{parent} - m_{daughter} \)c^2$

Correct Answer: A

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Question 5
A coil of wire of radius $r$ and $N$ turns is placed in a magnetic field of strength $B$. If the current in the coil is $I$, what is the torque experienced by the coil?
Correct A. $\tau = NIBr\sin \theta$
B. $\tau = NIBr\cos \theta$
C. $\tau = NIBr\sin \theta$
D. $\tau = NIBr\cos \theta$

Correct Answer: A

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Question 6
A 10 μF capacitor is connected in series with a 5 kΩ resistor and a 20 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 0.1 s
Correct B. 0.2 s
C. 0.5 s
D. 1 s

Correct Answer: B

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Question 7
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 force acting on the particle?
A. 10 N
B. 20 N
Correct C. 30 N
D. 40 N

Correct Answer: C

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Question 8
A 100 μF capacitor is connected in parallel with a 50 μF capacitor. What is the equivalent capaci\tance of the circuit?
A. 100 μF
Correct B. 150 μF
C. 200 μF
D. 250 μF

Correct Answer: B

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Question 9
A 5 kΩ resistor is connected in series with a 10 μF capacitor and a 20 V battery. If the capacitor is initially uncharged, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
Correct C. 0.5 s
D. 1 s

Correct Answer: C

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Question 10
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. What is the magnitude of the force acting on the particle?
A. 5 N
B. 10 N
Correct C. 15 N
D. 20 N

Correct Answer: C

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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. What is the magnitude of the centripetal acceleration?
A. 8 m/s^2
B. 12 m/s^2
Correct C. 16 m/s^2
D. 20 m/s^2

Correct Answer: C

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Question 12
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The dielectric cons\tant of the material between the plates is 2. The capaci\tance of the capacitor is
A. 1.6 x 10^-9 F
B. 2.2 x 10^-9 F
Correct C. 3.2 x 10^-9 F
D. 4.8 x 10^-9 F

Correct Answer: C

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Question 13
A body of mass 5 kg is moving with a velocity of 10 m/s. The force acting on the body is given by F = 2t + 5, where t is time in seconds. What is the acceleration of the body after 2 seconds?
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 14
A heat engine operates between the temperatures 300 K and 600 K. The efficiency of the engine is
A. 0.25
B. 0.33
Correct C. 0.4
D. 0.5

Correct Answer: C

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Question 15
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. What is the magnitude of the centripetal force?
A. 3 N
B. 6 N
Correct C. 9 N
D. 12 N

Correct Answer: C

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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 radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
Correct A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq

Correct Answer: A

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Question 18
A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is the acceleration of the block?
A. 0.5 m/s^2
Correct B. 1 m/s^2
C. 2 m/s^2
D. 5 m/s^2

Correct Answer: B

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Question 19
A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. What is the maximum kinetic energy of the emitted electron?
Correct A. 0.5 eV
B. 1 eV
C. 1.5 eV
D. 2 eV

Correct Answer: A

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Question 20
A capacitor of capaci\tance 10 μF is connected to a battery of voltage 5 V. What is the charge stored on the capacitor?
A. 50 μC
Correct B. 100 μC
C. 150 μC
D. 200 μC

Correct Answer: B

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Question 21
A light ray is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 20°
Correct B. 25°
C. 30°
D. 35°

Correct Answer: B

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Question 22
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
Correct C. 6 m/s
D. 8 m/s

Correct Answer: C

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Question 23
A \tank is filled with water to a height of 2 m. If a small hole is made at the bottom of the \tank, calculate the speed of the water coming out of the hole.
A. 10 m/s
B. 20 m/s
Correct C. 30 m/s
D. 40 m/s

Correct Answer: C

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Question 24
A body is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 2 m, calculate the centripetal acceleration of the body.
A. 2 m/s^2
Correct B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

Correct Answer: B

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Question 25
A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. If the lens is used to form an image of the light source, calculate the dis\tance of the image from the lens.
A. 1 m
B. 2 m
Correct C. 3 m
D. 4 m

Correct Answer: C

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