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POST UTME UNIPORT 2018 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 2018 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 4.0 µCi, what is the activity of the sample after 10.5 years?

A. 1.0 µCi

Correct B. 2.0 µCi

C. 3.0 µCi

D. 4.0 µCi

Correct Answer: B

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Question 2

A block of mass 2.0 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If 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 10 µF current is flowing in a circuit with a resis\tance of 20 Ω. What is the power dissipated in the circuit?

A. 0.2 W

Correct B. 0.4 W

C. 0.6 W

D. 0.8 W

Correct Answer: B

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Question 4

A particle of mass 1.0 kg is moving in a circular path with a radius of 2.0 m. If the particle has a speed of 4.0 m/s, what is the magnitude of the centripetal acceleration?

A. 0.5 m/s²

B. 1.0 m/s²

Correct C. 1.5 m/s²

D. 2.0 m/s²

Correct Answer: C

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Question 5

A beam of light is incident on a surface with a reflectivity of 0.8. If the intensity of the incident light is 100 W/m², what is the intensity of the reflected light?

Correct A. 80 W/m²

B. 60 W/m²

C. 40 W/m²

D. 20 W/m²

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 force?

A. 8 N

Correct B. 12 N

C. 16 N

D. 20 N

Correct Answer: B

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Question 7

A 100 W light bulb is connected to a 220 V power source. If the bulb is used for 5 hours a day, how much electricity will it consume in a month?

A. 120 kWh

Correct B. 150 kWh

C. 180 kWh

D. 200 kWh

Correct Answer: B

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Question 8

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

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 9

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

A. 0.25

B. 0.33

Correct C. 0.40

D. 0.50

Correct Answer: C

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Question 10

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle is subjected to a force of 10 N, what will be its velocity after 2 seconds?

A. 10 m/s

B. 15 m/s

Correct C. 20 m/s

D. 25 m/s

Correct Answer: C

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Question 11

A particle of mass $m$ and charge $q$ is moving in a circular path of radius $R$ in a uniform magnetic field of strength $B$. If the particle's velocity is $v$, what is the magnitude of the magnetic force acting on it?

Correct A. \frac{mv^2}{R}

B. \frac{mv^2}{R} + qvB

C. qvB

D. \frac{mv^2}{R} - qvB

Correct Answer: A

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Question 12

A container of volume $V$ is filled with an ideal gas at temperature $T$. If the gas is heated by $\Delta T$, what is the change in its internal energy?

Correct A. nC_v\Delta T

B. nC_p\Delta T

C. nR\Delta T

D. nC_v\\Delta T + nC_p\\Delta T

Correct Answer: A

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Question 13

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. What is the magnitude of the wave's momentum?

Correct A. \frac{hv}{c}

B. \frac{h}{\lambda}

C. \frac{f}{v}

D. \frac{v}{f}

Correct Answer: A

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Question 14

A spring with spring cons\tant $k$ is stretched by a dis\tance $x$. What is the magnitude of the force exerted on the spring?

Correct A. kx

B. \frac{k}{x}

C. \frac{x}{k}

D. k - x

Correct Answer: A

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Question 15

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. What is the magnitude of the centripetal force acting on it?

Correct A. \frac{mv^2}{R}

B. \frac{m}{v^2}

C. \frac{R}{mv^2}

D. \frac{v^2}{mR}

Correct Answer: A

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Question 16

A container of volume $V$ is filled with an ideal gas at temperature $T$. If the gas is compressed by a factor of $\alpha$, what is the change in its internal energy?

Correct A. nC_v\Delta T

B. nC_p\Delta T

C. nR\Delta T

D. nC_v\\Delta T + nC_p\\Delta T

Correct Answer: A

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Question 17

A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. What is the magnitude of the wave's momentum?

Correct A. \frac{hv}{c}

B. \frac{h}{\lambda}

C. \frac{f}{v}

D. \frac{v}{f}

Correct Answer: A

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Question 18

A spring with spring cons\tant $k$ is stretched by a dis\tance $x$. What is the magnitude of the force exerted on the spring?

Correct A. kx

B. \frac{k}{x}

C. \frac{x}{k}

D. k - x

Correct Answer: A

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Question 19

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. What is the magnitude of the centripetal force acting on it?

Correct A. \frac{mv^2}{R}

B. \frac{m}{v^2}

C. \frac{R}{mv^2}

D. \frac{v^2}{mR}

Correct Answer: A

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Question 20

A gas is enclosed in a container at a temperature of 300 K. If the volume of the container is doubled, what is the new pressure of the gas, assuming the gas behaves like an ideal gas?

A. 600 Pa

Correct B. 1200 Pa

C. 300 Pa

D. 1500 Pa

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. What is the magnitude of the centripetal force acting on the particle?

A. 16 N

B. 32 N

Correct C. 48 N

D. 64 N

Correct Answer: C

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Question 22

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?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 23

A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the potential difference between the plates is 10 V, what is the capaci\tance of the capacitor?

A. 0.01 F

Correct B. 0.1 F

C. 1 F

D. 10 F

Correct Answer: B

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Question 24

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 2 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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Question 25

A light source emits light of wavelength 500 nm. If the light is re\fracted through a prism, what is the angle of deviation?

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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