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POST UTME IMS U 2021 Physics | Objective

Are you preparing for POST UTME IMS U 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 ray of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?

Correct A. 50°

B. 60°

C. 70°

D. 80°

Correct Answer: A

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Question 2

A body of mass 2 kg is moving with a velocity of 5 m/s. If the force applied to it is 10 N, what is the acceleration of the body?

A. 0.5 m/s²

B. 1 m/s²

Correct C. 2 m/s²

D. 5 m/s²

Correct Answer: C

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Question 3

A wave has a frequency of 50 Hz and a wavelength of 0.1 m. What is its speed?

A. 5 m/s

B. 10 m/s

C. 20 m/s

Correct D. 50 m/s

Correct Answer: D

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Question 4

A circuit consists of a 2 Ω resistor and a 4 Ω resistor connected in parallel. If a voltage of 10 V is applied across the circuit, what is the current in the circuit?

A. 2.5 A

B. 5 A

Correct C. 10 A

D. 20 A

Correct Answer: C

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Question 5

A body is moving in a circular path with a radius of 2 m. If the body completes one revolution in 10 s, what is its angular velocity?

A. 0.2 rad/s

B. 0.5 rad/s

Correct C. 1 rad/s

D. 2 rad/s

Correct Answer: C

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Question 6

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.

A. \omega = \frac{k}{m}

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

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

Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 7

A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?

Correct A. f

B. 2f

C. f/2

D. f+v

Correct Answer: A

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Question 8

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

A. R

B. L

C. C

Correct D. \sqrt{R^2 + $ \omega L - \frac{1}{\omega C} $^2}

Correct Answer: D

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Question 9

A point charge $q$ is placed at the center of a spherical shell of radius $R$. If the shell is given a charge $Q$, what is the electric potential $V$ at the surface of the shell?

A. \frac{q}{4\pi \epsilon_0 R}

Correct B. \frac{Q}{4\pi \epsilon_0 R}

C. \frac{q+Q}{4\pi \epsilon_0 R}

D. \frac{q-Q}{4\pi \epsilon_0 R}

Correct Answer: B

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Question 10

A particle of mass $m$ is moving in a circular path with radius $r$ and angular velocity $\omega$. If the particle is subject to a centripetal force $F_c$, what is the magnitude of the force?

A. m\omega r

Correct B. m\omega^2 r

C. \frac{m\omega^2 r}{2}

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

Correct Answer: B

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Question 11

A radioactive sample of Uranium-238 decays into Thorium-234 with a half-life of 4.5 billion years. If the initial mass of Uranium-238 is 100g, what is the mass of Thorium-234 produced after 9 billion years?

A. 50g

B. 25g

C. 12.5g

Correct D. 6.25g

Correct Answer: D

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Question 12

A block of mass 20kg is attached to a horizontal spring with a spring cons\tant of 100N/m. If the block is displaced by 0.5m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2m/s

B. 4m/s

Correct C. 6m/s

D. 8m/s

Correct Answer: C

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Question 13

A capacitor consists of two parallel plates, each of area 0.1m^2, separated by a dis\tance of 0.01m. If the capaci\tance is 10nF, what is the charge stored on the capacitor when a potential difference of 5V is applied across it?

A. 50nC

Correct B. 100nC

C. 150nC

D. 200nC

Correct Answer: B

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Question 14

A particle of mass 5kg is moving in a circular path with a radius of 2m. If the particle has a speed of 10m/s, what is the magnitude of the centripetal acceleration?

A. 5m/s^2

Correct B. 10m/s^2

C. 15m/s^2

D. 20m/s^2

Correct Answer: B

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Question 15

A simple harmonic motion has a maximum displacement of 0.5m and a period of 2s. If the motion starts from its equilibrium position, what is the equation of motion?

A. x(t) = 0.5 \sin$ \pi t $

Correct B. x(t) = 0.5 \sin$ 2\pi t $

C. x(t) = 0.5 \sin$ \pi/2 t $

D. x(t) = 0.5 \sin$ 2\pi/2 t $

Correct Answer: B

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Question 16

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $ psi_0\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the expectation value of the position operator for this state?

Correct A. \frac{L}{2}

B. \frac{L}{4}

C. \frac{3L}{4}

D. \frac{L}{pi}

Correct Answer: A

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Question 17

A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field $mathbf{B} = B_0 hat{mathbf{z}}$. If the particle has an initial velocity $mathbf{v} = v_0 hat{mathbf{x}}$, what is the radius of the circular orbit that the particle will follow?

Correct A. \frac{mv_0}{qB_0}

B. \frac{qB_0}{mv_0}

C. \frac{mv_0^2}{qB_0}

D. \frac{qB_0^2}{m}

Correct Answer: A

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Question 18

A block of mass $M$ is attached to a horizontal spring with spring cons\tant $k$. The block is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

Correct A. \sqrt{\frac{k}{M}}

B. \frac{k}{M}

C. \frac{M}{k}

D. \sqrt{\frac{M}{k}}

Correct Answer: A

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Question 19

A capacitor consists of two parallel plates of area $A$ and separation $d$. The plates are charged to a potential difference $V$. What is the capaci\tance of the capacitor?

Correct A. \frac{A}{d}

B. \frac{A}{V}

C. \frac{V}{A}

D. \frac{Ad}{V}

Correct Answer: A

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Question 20

A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. The engine has an efficiency of $eta$. What is the ratio of the temperatures $T_1$ and $T_2$?

Correct A. \frac{eta}{1-eta}

B. \frac{1-eta}{eta}

C. \frac{T_1}{T_2}

D. \frac{T_2}{T_1}

Correct Answer: A

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Question 21

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 22

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 3 is inserted between the plates, what is the new capaci\tance?

A. 4 μF

B. 6 μF

Correct C. 8 μF

D. 10 μF

Correct Answer: C

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Question 23

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 2 hours, what is the activity after 4 hours?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 24

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 25

A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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