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POST UTME PAN-ATLANTIC UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME PAN-ATLANTIC 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.

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Question 1

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$. If the particle's speed is $v$, what is its angular momentum $L$?

Correct A. $ L = \frac{mv^2}{k} $

B. $ L = \frac{mv}{k} $

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

D. $ L = \frac{mv}{r} $

Correct Answer: A

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Question 2

A 5.0-m long wire carries a current of 2.0 A. If the wire is bent into a circular loop of radius 0.50 m, what is the magnetic field $B$ at the center of the loop?

Correct A. $ B = \frac{\mu_0 I}{2r} $

B. $ B = \frac{\mu_0 I}{r} $

C. $ B = \frac{\mu_0 I}{4r} $

D. $ B = \frac{\mu_0 I}{8r} $

Correct Answer: A

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Question 3

A heat engine operates between two temperatures $T_1 = 500 K$ and $T_2 = 300 K$. If the engine produces 500 J of work, what is its efficiency $\eta$?

Correct A. $ \eta = \frac{W}{Q_1} $

B. $ \eta = \frac{Q_1 - W}{Q_1} $

C. $ \eta = \frac{Q_1}{Q_1 - W} $

D. $ \eta = \frac{W}{Q_1 - W} $

Correct Answer: A

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Question 4

A sound wave with frequency $f = 200 Hz$ travels through a medium with speed $v = 343 m/s$. If the wave has amplitude $A = 0.50 m$, what is its intensity $I$?

Correct A. $ I = \frac{P}{4\pi r^2} $

B. $ I = \frac{P}{2\pi r^2} $

C. $ I = \frac{P}{\pi r^2} $

D. $ I = \frac{P}{6\pi r^2} $

Correct Answer: A

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Question 5

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, what is its potential energy $U$?

Correct A. $ U = \frac{1}{2} kx^2 $

B. $ U = kx^2 $

C. $ U = \frac{1}{2} kx $

D. $ U = kx $

Correct Answer: A

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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 magnitude of the acceleration of the particle?

A. 4 m/s^2

B. 8 m/s^2

Correct C. 12 m/s^2

D. 16 m/s^2

Correct Answer: C

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Question 7

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

A. 6 μF

B. 8 μF

Correct C. 10 μF

D. 12 μF

Correct Answer: C

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Question 8

A gas is contained in a cylinder of volume 2 L at a pressure of 2 atm. If the temperature is increased by 10°C, what is the new pressure?

A. 2.5 atm

B. 3 atm

Correct C. 3.5 atm

D. 4 atm

Correct Answer: C

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Question 9

A beam of light is incident on a prism at an angle of 30°. If the angle of re\fraction is 20°, what is the angle of deviation?

A. 10°

Correct B. 15°

C. 20°

D. 25°

Correct Answer: B

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Question 10

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If a force of 10 N is applied to the particle, what is the acceleration?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 11

A radioactive sample of Δₗ (Americium) undergoes β-decay into Δₘ (Curium). If the half-life of Δₗ is 432 years, what is the activity of the sample after 1080 years?

A. 1.00 x 10²² Bq

B. 2.00 x 10²² Bq

Correct C. 4.00 x 10²² Bq

D. 8.00 x 10²² Bq

Correct Answer: C

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Question 12

A 2.00 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.200 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.200 m/s

B. 0.400 m/s

Correct C. 0.500 m/s

D. 0.600 m/s

Correct Answer: C

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Question 13

A ray of light passes from air into a glass block with a re\fractive index of 1.50. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 18.0°

Correct B. 20.0°

C. 22.0°

D. 25.0°

Correct Answer: B

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Question 14

A 5.00 kg object is attached to a horizontal, massless rope that passes over a pulley. If the object is pulled with a force of 20.0 N, what is the acceleration of the object?

A. 0.400 m/s²

B. 0.600 m/s²

Correct C. 0.800 m/s²

D. 1.00 m/s²

Correct Answer: C

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Question 15

A parallel-plate capacitor has a capaci\tance of 10.0 µF and is charged to a potential difference of 50.0 V. If the capacitor is disconnected from the battery and the plates are then pulled apart by a dis\tance of 2.00 cm, what is the new capaci\tance?

A. 5.00 µF

Correct B. 10.0 µF

C. 20.0 µF

D. 30.0 µF

Correct Answer: B

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Question 16

A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. The switch is closed at t = 0 s. Assuming the inductor has an initial current of 0 A, calculate the current at t = 5 s.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 17

A 100 W light bulb is connected to a 230 V power source. If the bulb is used for 5 hours a day, calculate the total energy consumed in a month (30 days).

A. 900 kWh

Correct B. 1000 kWh

C. 1100 kWh

D. 1200 kWh

Correct Answer: B

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Question 18

A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the centripetal acceleration.

A. 1.25 m/s^2

B. 2.5 m/s^2

Correct C. 5.0 m/s^2

D. 10.0 m/s^2

Correct Answer: C

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Question 19

A 50 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, calculate the maximum speed.

A. 2.0 m/s

Correct B. 4.0 m/s

C. 6.0 m/s

D. 8.0 m/s

Correct Answer: B

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, calculate the maximum height reached.

A. 10.0 m

B. 20.0 m

Correct C. 30.0 m

D. 40.0 m

Correct Answer: C

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Question 21

A 2.5 m long wire of resis\tance 3.5 Ω is connected in series with a 10 V battery. If the wire is stretched to a length of 5 m, how much more power will be dissipated in the wire?

A. 10 W

B. 20 W

Correct C. 30 W

D. 40 W

Correct Answer: C

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Question 22

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?

A. 2 N

Correct B. 4 N

C. 6 N

D. 8 N

Correct Answer: B

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Question 23

A gas occupies a volume of 2.5 L at a pressure of 1.5 atm. If the pressure is increased to 3 atm, what is the new volume of the gas?

A. 1 L

Correct B. 1.25 L

C. 1.5 L

D. 1.75 L

Correct Answer: B

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Question 24

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. 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 25

A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. If a voltage of 12 V is applied across the circuit, what is the total current drawn from the circuit?

A. 1 A

B. 1.5 A

Correct C. 1.8 A

D. 2 A

Correct Answer: C

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