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POST UTME AL-HIKMAH UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME AL-HIKMAH 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.

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Question 1

A parallel beam of light is incident on a glass slab of thickness $t$ and re\fractive index $mu$. The angle of incidence is $45^circ$. Find the angle of re\fraction.

Correct A. $ 30^circ $

B. $ 45^circ $

C. $ 60^circ $

D. $ 90^circ $

Correct Answer: A

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Question 2

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The force acting on the particle is perp\endicular to its velocity. Find the magnitude of the force.

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

B. $ \frac{mv}{r} $

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

D. $ \frac{mv^2}{3r} $

Correct Answer: A

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Question 3

A block of mass $m$ is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ and then released. Find the time period of the resulting simple harmonic motion.

Correct A. $ 2pi \sqrt{\frac{m}{k}} $

B. $ pi \sqrt{\frac{m}{k}} $

C. $ \frac{pi}{\sqrt{\frac{m}{k}}} $

D. $ \frac{2pi}{\sqrt{\frac{m}{k}}} $

Correct Answer: A

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Question 4

A \tank contains 1000 L of water at a temperature of $20^circ$C. A metal block of mass 5 kg is submerged in the water. Find the change in temperature of the water after 10 minutes.

A. $ 0.5^circ \text{C} $

Correct B. $ 1^circ \text{C} $

C. $ 1.5^circ \text{C} $

D. $ 2^circ \text{C} $

Correct Answer: B

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Question 5

A projectile is launched from the ground with an initial velocity of $20$ m/s at an angle of $60^circ$ above the horizontal. Find the maximum height reached by the projectile.

A. $ 10 \text{ m} $

B. $ 15 \text{ m} $

Correct C. $ 20 \text{ m} $

D. $ 25 \text{ m} $

Correct Answer: C

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Question 6

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 work done by the centripetal force in 5 seconds?

A. 60 J

B. 80 J

Correct C. 100 J

D. 120 J

Correct Answer: C

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Question 7

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?

A. 2.5 A

Correct B. 5 A

C. 10 A

D. 20 A

Correct Answer: B

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Question 8

A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?

A. 2 m/s²

Correct B. 4 m/s²

C. 6 m/s²

D. 8 m/s²

Correct Answer: B

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Question 9

A wave of frequency 100 Hz and wavelength 0.1 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?

Correct A. 100 Hz

B. 200 Hz

C. 300 Hz

D. 400 Hz

Correct Answer: A

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Question 10

A circuit consists of a resistor of resis\tance 10 Ω and an inductor of induc\tance 5 H. If a voltage of 20 V is applied across the circuit, what is the current flowing through the circuit?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 11

A 2.5 V battery is connected in series with a 5 Ω resistor and a 10 Ω resistor. If the current through the 5 Ω resistor is 0.4 A, what is the current through the 10 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 12

A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. What is the final volume of the gas?

A. 2 L

Correct B. 4 L

C. 6 L

D. 8 L

Correct Answer: B

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Question 13

A 5 kg block is moving at 10 m/s on a frictionless surface. If a force of 20 N is applied to the block, what is its acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

C. 2 m/s^2

Correct D. 5 m/s^2

Correct Answer: D

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Question 14

A 100 W light bulb is connected to a 220 V power source. What is the current through the bulb?

A. 0.4 A

Correct B. 0.5 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 15

A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is its wavelength?

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: A

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Question 16

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 50 V is applied across it, what is the charge stored on each plate?

A. 0.5 C

Correct B. 5 C

C. 500 μC

D. 5000 μC

Correct Answer: B

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Question 17

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 50 Bq

B. 25 Bq

Correct C. 12.5 Bq

D. 6.25 Bq

Correct Answer: C

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Question 18

A convex lens has a focal length of 20 cm. If an object is placed 30 cm in front of it, where will the image be formed?

Correct A. 60 cm

B. 40 cm

C. 20 cm

D. 10 cm

Correct Answer: A

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Question 19

A particle of mass 2 kg is moving in a circular path with a speed of 5 m/s. If the radius of the circle is 3 m, what is the centripetal force acting on it?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 20

A photon has an energy of 2 eV. If it is incident on a metal surface with a work function of 1.5 eV, what is the maximum kinetic energy of the emitted electron?

A. 0.5 eV

Correct B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: B

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Question 21

A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is then slowly removed, allowing the gas to expand, what will happen to the temperature of the gas?

A. The temperature will increase

B. The temperature will decrease

Correct C. The temperature will remain cons\tant

D. The temperature will increase and then decrease

Correct Answer: C

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Question 22

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and then released from rest. What is the maximum speed of the block?

A. 1 m/s

B. 2 m/s

Correct C. 4 m/s

D. 6 m/s

Correct Answer: C

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Question 23

A beam 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. 30°

C. 40°

D. 50°

Correct Answer: B

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Question 24

A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the magnitude of the centripetal 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 25

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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