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POST UTME UNN 2021 Physics | Objective

Are you preparing for POST UTME UNN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2021 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 a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on each plate?

A. 20 μC

Correct B. 40 μC

C. 80 μC

D. 100 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. 1.0 m/s^2

Correct C. 2.0 m/s^2

D. 4.0 m/s^2

Correct Answer: C

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Question 3

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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 4

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.4 A

B. 0.6 A

C. 0.8 A

Correct D. 1.0 A

Correct Answer: D

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Question 5

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

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 6

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle experiences a centripetal acceleration of 4 m/s^2, what is the magnitude of the force acting on the particle?

A. 12 N

Correct B. 16 N

C. 20 N

D. 24 N

Correct Answer: B

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Question 7

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?

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 8

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

A. 10 N

B. 15 N

C. 20 N

Correct D. 25 N

Correct Answer: D

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Question 9

A gas is contained in a cylinder with a volume of 2 L. The gas is heated, cau\sing its temperature to increase by 10°C. If the initial pressure of the gas is 1 atm, what is the final pressure?

A. 1.5 atm

B. 2 atm

Correct C. 2.5 atm

D. 3 atm

Correct Answer: C

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Question 10

A magnetic field is created by a current-carrying wire. If the current is 2 A and the wire is 0.5 m long, what is the magnitude of the magnetic field at a dis\tance of 1 m from the wire?

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 11

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.

Correct A. $ \frac{v_0 \sin \theta}{g} $

B. $ \frac{v_0 \cos \theta}{g} $

C. $ \frac{v_0 \sin \theta}{g^2} $

D. $ \frac{v_0 \cos \theta}{g^2} $

Correct Answer: A

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Question 12

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$ with a velocity $v$. If the particle experiences a force $F$ due to the magnetic field, determine the magnitude of the force.

Correct A. $ qvB \sin \theta $

B. $ qvB \cos \theta $

C. $ qvB $

D. $ qvB \sin \theta \cos \theta $

Correct Answer: A

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Question 13

A photon of energy $E$ is incident on a metal surface with work function $\phi$. If the photon is absorbed by the metal, determine the maximum kinetic energy of the emitted electron.

Correct A. $ E - \phi $

B. $ E + \phi $

C. $ E \phi $

D. $ \phi - E $

Correct Answer: A

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Question 14

A container of volume $V$ is filled with an ideal gas of mass $m$ at temperature $T$. If the gas is heated to a temperature $T_2$, determine the new pressure of the gas.

Correct A. $ \frac{nRT_2}{V} $

B. $ \frac{nRT}{V} $

C. $ \frac{nRT_2}{V^2} $

D. $ \frac{nRT}{V^2} $

Correct Answer: A

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Question 15

A spring of spring cons\tant $k$ is stretched by a dis\tance $x$. If the spring is then released, determine the maximum speed of the spring.

Correct A. $ \sqrt{\frac{kx^2}{m}} $

B. $ \frac{kx^2}{m} $

C. $ \frac{kx}{m} $

D. $ \frac{k}{m} $

Correct Answer: A

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Question 16

A uniform magnetic field of strength 2 T is applied to a current-carrying wire of length 0.5 m. If the current in the wire is 5 A, calculate the force experienced by the wire.

A. 0.5 N

B. 1 N

Correct C. 2 N

D. 5 N

Correct Answer: C

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Question 17

A block of mass 10 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. Calculate the acceleration of the block.

A. 0.2 m/s^2

B. 0.5 m/s^2

Correct C. 1 m/s^2

D. 2 m/s^2

Correct Answer: C

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Question 18

A capacitor of capaci\tance 10 μF is charged to a potential difference of 5 V. Calculate the energy stored in the capacitor.

A. 0.25 J

Correct B. 0.5 J

C. 1 J

D. 2 J

Correct Answer: B

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Question 19

A spring of spring cons\tant 100 N/m is stretched by 0.5 m. Calculate the work done in stretching the spring.

A. 0.25 J

Correct B. 0.5 J

C. 1 J

D. 2 J

Correct Answer: B

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Question 20

A block of mass 5 kg is attached to a horizontal spring of spring cons\tant 50 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the frequency of oscillation of the block.

A. 0.5 Hz

B. 1 Hz

Correct C. 2 Hz

D. 5 Hz

Correct Answer: C

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Question 21

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c$ given by $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?

A. \frac{2mv^2}{r}

Correct B. \frac{4mv^2}{r}

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

D. \frac{mv^2}{4r}

Correct Answer: B

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Question 22

A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?

A. \frac{kx}{m}

Correct B. \sqrt{\frac{kx^2}{m}}

C. \frac{kx^2}{m}

D. \frac{mx^2}{k}

Correct Answer: B

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Question 23

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an AC voltage source with a frequency $f$. If the inductive reac\tance $X_L = 10\,\Omega$ and the capacitive reac\tance $X_C = 5\,\Omega$, what is the impedance $Z$ of the circuit?

A. \sqrt{R^2 + $ X_L + X_C $^2}

Correct B. \sqrt{R^2 + $ X_L - X_C $^2}

C. \sqrt{R^2 - $ X_L - X_C $^2}

D. \sqrt{R^2 + $ X_L + X_C $^2}

Correct Answer: B

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Question 24

A sound wave with a frequency $f$ is traveling through a medium with a speed $v$. If the wavelength $\lambda$ of the sound wave is $10\,\text{m}$, what is the period $T$ of the sound wave?

A. \frac{v}{f}

Correct B. \frac{\lambda}{v}

C. \frac{v}{\lambda}

D. \frac{f}{v}

Correct Answer: B

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Question 25

A radioactive sample decays with a half-life $t_{1/2}$. If the initial number of nuclei $N_0$ is $1000$, what is the number of nuclei $N$ remaining after a time $t = 2t_{1/2}$?

A. N_0 \left$ \frac{1}{2}\right $^1

Correct B. N_0 \left$ \frac{1}{2}\right $^2

C. N_0 \left$ \frac{1}{2}\right $^3

D. N_0 \left$ \frac{1}{2}\right $^4

Correct Answer: B

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