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POST UTME NILE UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME NILE UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 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 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 of the particle?

A. 4 m/s^2

B. 8 m/s^2

C. 12 m/s^2

Correct D. 16 m/s^2

Correct Answer: D

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Question 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V battery. What is the current flowing through the circuit?

A. 4 A

Correct B. 6 A

C. 8 A

D. 10 A

Correct Answer: B

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Question 3

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is 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 4

A 1000 W heater is connected to a 220 V power source. What is the current flowing through the heater?

A. 3 A

B. 4 A

Correct C. 4.55 A

D. 5 A

Correct Answer: C

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Question 5

A 10 kg block is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. What is the magnitude of the centripetal force acting on the block?

A. 50 N

Correct B. 62.5 N

C. 75 N

D. 100 N

Correct Answer: B

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Question 6

A light ray passes from air into a glass slab of thickness $t$ and re\fractive index $n$. If the angle of incidence is $\theta_i$, what is the angle of re\fraction $\theta_r$?

Correct A. $ \sin \theta_r = \frac{\sin \theta_i}{n} $

B. $ \sin \theta_r = \frac{n \sin \theta_i}{n} $

C. $ \sin \theta_r = \frac{\sin \theta_i}{\sin \theta_i + \frac{t}{n}} $

D. $ \sin \theta_r = \frac{\sin \theta_i}{\sin \theta_i - \frac{t}{n}} $

Correct Answer: A

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Question 7

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the angular frequency of the resulting simple harmonic motion?

Correct A. $ omega = \sqrt{\frac{k}{m}} $

B. $ omega = \sqrt{\frac{m}{k}} $

C. $ omega = \frac{k}{m} $

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

Correct Answer: A

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Question 8

A radioactive sample decays with a half-life of $t_{1/2}$. If the initial activity is $A_0$, what is the activity $A$ after a time $t$?

Correct A. $ A = A_0 e^{-\frac{t}{t_{1/2}}} $

B. $ A = A_0 e^{\frac{t}{t_{1/2}}} $

C. $ A = A_0 left\( 1 - e^{-\frac{t}{t_{1/2}}} \right \ $ )

D. $ A = A_0 left\( 1 + e^{-\frac{t}{t_{1/2}}} \right \ $ )

Correct Answer: A

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Question 9

A vector $mathbf{A}$ has components $A_x = 2$ and $A_y = 3$. If $mathbf{A}$ is rotated by an angle $\theta$ about the $z$-axis, what is the new $x$-component of $mathbf{A}$?

Correct A. $ A_x' = 2 \cos \theta + 3 \sin \theta $

B. $ A_x' = 2 \sin \theta + 3 \cos \theta $

C. $ A_x' = 2 \cos \theta - 3 \sin \theta $

D. $ A_x' = 2 \sin \theta - 3 \cos \theta $

Correct Answer: A

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Question 10

A particle of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, what is the force exerted on the particle by the spring?

Correct A. $ F = -kx $

B. $ F = kx $

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

D. $ F = \frac{m}{kx} $

Correct Answer: A

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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 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 is 10^-6 F, what is the magnitude of the electric field between the plates when a potential difference of 10 V is applied?

A. 1000 V/m

Correct B. 2000 V/m

C. 3000 V/m

D. 4000 V/m

Correct Answer: B

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Question 13

A wave with a frequency of 50 Hz and a wavelength of 0.1 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the magnitude of the displacement of the wave at the fixed \end?

Correct A. 0.01 m

B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: A

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Question 14

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 air resis\tance is negligible, 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 thermodynamic system is undergoing a process in which the volume is increa\sing while the temperature is cons\tant. If the initial volume is 0.1 m^3 and the final volume is 0.2 m^3, what is the magnitude of the work done by the system?

A. 10 J

Correct B. 20 J

C. 30 J

D. 40 J

Correct Answer: B

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Question 16

A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons\tant. If the particle's speed is $v$, what is the magnitude of the force acting on it?

Correct A. \frac{mv^2}{R}

B. \frac{k}{R}

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

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

Correct Answer: A

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Question 17

A beam of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $20^\circ$, what is the angle of deviation?

A. 10^\circ

Correct B. 20^\circ

C. 30^\circ

D. 40^\circ

Correct Answer: B

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Question 18

A particle of mass $m$ is in a state of quantum superposition, described by the wave function $\psi(x) = A$ x - x_0 $^2 e^{ikx}$, where $A$ is a normalization cons\tant, $x_0$ is a position, and $k$ is a wave number. What is the expectation value of the particle's position?

A. x_0

Correct B. x_0 + \frac{1}{2k}

C. x_0 - \frac{1}{2k}

D. x_0 + k

Correct Answer: B

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Question 19

A simple harmonic oscillator has a mass $m$ and a spring cons\tant $k$. If the oscillator is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest, what is the maximum kinetic energy of the oscillator?

A. \frac{1}{2} k x_0^2

Correct B. \frac{1}{2} m \omega^2 x_0^2

C. \frac{1}{2} m \omega^2 x_0^2 + \frac{1}{2} k x_0^2

D. \frac{1}{2} k x_0^2 + \frac{1}{2} m \omega^2 x_0^2

Correct Answer: B

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Question 20

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $R$ from the origin, what is the time of flight?

Correct A. \frac{2R}{v_0 \sin \theta}

B. \frac{R}{v_0 \sin \theta}

C. \frac{R}{v_0 \cos \theta}

D. \frac{2R}{v_0 \cos \theta}

Correct Answer: A

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Question 21

A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, calculate the activity after 10 days.

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 22

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, calculate the centripetal force acting on the particle.

A. 16 N

Correct B. 32 N

C. 48 N

D. 64 N

Correct Answer: B

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Question 23

A wave has a frequency of 50 Hz and a wavelength of 2 m. Calculate the speed of the wave.

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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Question 24

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

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 25

A 100 V AC supply is connected to a 20 Ω resistor. Calculate the current flowing through the resistor.

A. 5 A

Correct B. 10 A

C. 15 A

D. 20 A

Correct Answer: B

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