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POST UTME UNIBEN 2022 Physics | Objective

Are you preparing for POST UTME UNIBEN exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A radioactive sample of Δₗ decays to Δₘ with a half-life of 5.27 years. If the initial activity of the sample is 100 Bq, what is the activity after 10 years?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 2

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. 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. 0.2 m/s

B. 0.4 m/s

Correct C. 0.6 m/s

D. 0.8 m/s

Correct Answer: C

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Question 3

A 100 Ω capacitor is connected in series with a 200 Ω capacitor and a 50 Ω resistor. If the voltage across the 200 Ω capacitor is 20 V, what is the current through the circuit?

A. 0.1 A

Correct B. 0.2 A

C. 0.3 A

D. 0.4 A

Correct Answer: B

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Question 4

A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the wave?

A. 0.01 m

Correct B. 0.02 m

C. 0.03 m

D. 0.04 m

Correct Answer: B

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Question 5

A 10 Ω capacitor is connected in parallel with a 20 Ω capacitor. If the voltage across the 10 Ω capacitor is 15 V, what is the charge on the 20 Ω capacitor?

A. 0.3 C

B. 0.4 C

Correct C. 0.5 C

D. 0.6 C

Correct Answer: C

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Question 6

A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The capacitor is initially uncharged. What is the time cons\tant (τ) of the circuit?

A. 0.05 s

Correct B. 0.1 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 7

A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency (ω) of the particle's motion?

A. 2 rad/s

B. 4 rad/s

Correct C. 6 rad/s

D. 8 rad/s

Correct Answer: C

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Question 8

A 100 W light bulb is connected to a 230 V power source. What is the current (I) drawn by the bulb?

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1 A

Correct Answer: C

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Question 9

A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. What is the kinetic energy (KE) of the block?

A. 5 J

Correct B. 10 J

C. 15 J

D. 20 J

Correct Answer: B

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Question 10

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. What is the equivalent capaci\tance $ C_eq $ of the circuit?

A. 10 μF

B. 20 μF

Correct C. 30 μF

D. 40 μF

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. If the particle is subjected to a centripetal acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 12

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 13

A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3. If the initial pressure is 100 kPa and the final pressure is 200 kPa, what is the work done on the gas?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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Question 14

A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, 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 15

A radioactive sample decays from an initial activity of 100 Bq to a final activity of 50 Bq in 2 hours. What is the half-life of the sample?

A. 1 h

Correct B. 2 h

C. 3 h

D. 4 h

Correct Answer: B

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Question 16

A gas at 300 K is heated to 600 K. If the initial volume is 2.5 L, what is the final volume if the gas obeys Charles' Law?

A. 5 L

Correct B. 10 L

C. 15 L

D. 20 L

Correct Answer: B

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Question 17

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 4 m/s^2

Correct Answer: C

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Question 18

A light ray 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?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 19

A point charge of 5 μC is placed at the center of a circular loop of radius 2 m. What is the electric field at a point on the circumference of the loop?

A. 10^3 N/C

B. 10^4 N/C

Correct C. 10^5 N/C

D. 10^6 N/C

Correct Answer: C

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Question 20

A block of mass 10 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, 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 21

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_1\( x \ $ = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $). What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?

Correct A. \frac{1}{2}

B. \frac{1}{4}

C. \frac{1}{8}

D. \frac{1}{16}

Correct Answer: A

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Question 22

A sound wave with frequency $f$ is emitted by a source moving at a speed $v$ towards a stationary observer. The speed of sound in the medium is $c$. What is the apparent frequency heard by the observer?

A. f + \frac{v}{c} f

Correct B. f - \frac{v}{c} f

C. f + \frac{v}{c} f

D. f - \frac{v}{c} f

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 alternating voltage source with a frequency $f$. What is the impedance of the circuit?

Correct A. R + jX_L - jX_C

B. R + jX_L + jX_C

C. R - jX_L + jX_C

D. R - jX_L - jX_C

Correct Answer: A

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Question 24

A block of mass $m$ is placed on a horizontal surface with a spring of spring cons\tant $k$ attached to it. The block is displaced by a dis\tance $x$ and released from rest. What is the maximum speed of the block?

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

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

C. \sqrt{\frac{3kx^2}{m}}

D. \sqrt{\frac{4kx^2}{m}}

Correct Answer: B

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Question 25

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. What is the time of flight of the projectile?

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

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

C. \frac{2v_0 \cos \theta}{g}

D. \frac{v_0 \cos \theta}{g}

Correct Answer: A

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