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POST UTME UNIPORT 2023 Physics | Objective

Are you preparing for POST UTME UNIPORT 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 attached to a spring with spring cons\tant $k$. The particle undergoes simple harmonic motion with amplitude $A$ and angular frequency $omega$. If the particle is displaced from its equilibrium position by a dis\tance $x$ and released from rest, determine the time $t$ at which the particle's velocity is $v = \frac{Aomega}{2}$.

Correct A. $ t = \frac{pi}{2omega} $

B. $ t = \frac{pi}{4omega} $

C. $ t = \frac{pi}{omega} $

D. $ t = \frac{2pi}{omega} $

Correct Answer: A

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Question 2

A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The plates are charged to a potential difference $V$. If a dielectric slab of thickness $t$ and dielectric cons\tant $K$ is inserted between the plates, determine the new capaci\tance $C'$.

Correct A. $ C' = \frac{KA}{d} $

B. $ C' = \frac{KA}{d+t} $

C. $ C' = \frac{KA}{d-t} $

D. $ C' = \frac{KA}{d+2t} $

Correct Answer: A

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Question 3

A gas of $N$ molecules is confined to a volume $V$. The molecules are assumed to be classical particles with mass $m$ and velocity $v$. If the gas is heated to a temperature $T$, determine the average kinetic energy of the molecules.

Correct A. $ \frac{3}{2}NkT $

B. $ \frac{1}{2}NkT $

C. $ \frac{5}{2}NkT $

D. $ \frac{7}{2}NkT $

Correct Answer: A

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Question 4

A beam of light is incident on a prism with angle of incidence $\theta_i$ and angle of re\fraction $\theta_r$. If the prism is made of a material with re\fractive index $n$, determine the angle of deviation $delta$.

A. $ delta = \theta_i - \theta_r $

B. $ delta = \theta_i + \theta_r $

Correct C. $ delta = \theta_i - n\theta_r $

D. $ delta = \theta_i + n\theta_r $

Correct Answer: C

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Question 5

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

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

B. $ F_c = \frac{momega^2r}{2} $

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

D. $ F_c = \frac{momega^2r}{4} $

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 experiences a centripetal acceleration of 2 m/s^2, what is the magnitude of the net 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 7

A heat engine operates between two temperatures, 500 K and 300 K. If the engine produces 1000 J of work per cycle, what is its efficiency?

A. 0.25

B. 0.33

Correct C. 0.4

D. 0.5

Correct Answer: C

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Question 8

A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the prism has a re\fractive index of 1.5, what is the angle of deviation?

A. 10°

B. 15°

Correct C. 20°

D. 25°

Correct Answer: C

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Question 9

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

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 10

A lens has a focal length of 20 cm. If an object is placed 30 cm in front of the lens, what is the image dis\tance?

A. 10 cm

B. 20 cm

Correct C. 30 cm

D. 40 cm

Correct Answer: C

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Question 11

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the daughter nucleus after 10 half-lives?

A. 0.0009765625 g

B. 0.001953125 g

Correct C. 0.00390625 g

D. 0.0078125 g

Correct Answer: C

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Question 12

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is the acceleration of the particle?

A. 2.5 m/s^2

Correct B. 5 m/s^2

C. 10 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 13

A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.33

C. 0.5

Correct D. 0.67

Correct Answer: D

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Question 14

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2 eV, what is the kinetic energy of the emitted electron?

A. 1.5 eV

B. 2.5 eV

Correct C. 3.5 eV

D. 4.5 eV

Correct Answer: C

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Question 15

A gas is confined to a container with a volume of 2 L. If the temperature of the gas is increased from 300 K to 400 K, what is the new volume of the gas?

A. 2.67 L

Correct B. 3.33 L

C. 4 L

D. 5 L

Correct Answer: B

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Question 16

A radioactive sample of Δₗ (Americium) has a half-life of 432 years. If the initial activity is 1.0 µCi, what is the activity after 720 years?

Correct A. 0.25 µCi

B. 0.5 µCi

C. 0.75 µCi

D. 1.0 µCi

Correct Answer: A

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Question 17

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.20 m from its equilibrium position and released from rest, what is its maximum speed?

A. 0.50 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 18

A parallel plate capacitor has a capaci\tance of 10 µF and is charged to a potential difference of 100 V. If a dielectric material with a dielectric cons\tant of 3.0 is inserted between the plates, what is the new capaci\tance?

A. 20 µF

B. 30 µF

Correct C. 40 µF

D. 50 µF

Correct Answer: C

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Question 19

A 5.0 L \tank contains 2.0 mol of an ideal gas at a temperature of 300 K. If the gas is heated to 400 K, what is the new pressure?

A. 1.0 atm

B. 2.0 atm

Correct C. 3.0 atm

D. 4.0 atm

Correct Answer: C

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Question 20

A 10.0 µF capacitor is connected in series with a 20.0 µF capacitor. If a 50.0 V potential difference is applied across the combination, what is the charge on the 10.0 µF capacitor?

A. 0.25 µC

Correct B. 0.50 µC

C. 0.75 µC

D. 1.0 µC

Correct Answer: B

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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 acceleration of the particle?

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 22

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 23

A photon of wavelength 600 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

Correct A. 1.5 eV

B. 2.5 eV

C. 3.5 eV

D. 4.5 eV

Correct Answer: A

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Question 24

A car travels from point A to point B with an average speed of 60 km/h. If the dis\tance between the two points is 240 km, what is the time taken by the car to travel from point A to point B?

A. 4 h

Correct B. 6 h

C. 8 h

D. 10 h

Correct Answer: B

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Question 25

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 m^3, what is the final volume of the gas?

A. 2.5 m^3

Correct B. 3 m^3

C. 3.5 m^3

D. 4 m^3

Correct Answer: B

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