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POST UTME UNIOSUN 2024 Physics | Objective

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Question 1

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 2

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 capaci\tance of the capacitor is 10^-6 F, what is the charge on the plates when a potential difference of 10 V is applied across them?

A. 10^-7 C

Correct B. 10^-6 C

C. 10^-5 C

D. 10^-4 C

Correct Answer: B

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Question 3

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the air resis\tance is negligible, 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 4

A rigid rod of length 1 m is pivoted at one \end and is free to rotate in a vertical plane. If a force of 10 N is applied at the other \end of the rod, what is the magnitude of the torque applied to the rod?

A. 5 Nm

Correct B. 10 Nm

C. 15 Nm

D. 20 Nm

Correct Answer: B

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Question 5

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 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the charge on the plates when the potential difference is 12 V?

A. 96 μC

Correct B. 192 μC

C. 288 μC

D. 384 μC

Correct Answer: B

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Question 7

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 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 2.5 m/s

Correct B. 5.0 m/s

C. 7.5 m/s

D. 10 m/s

Correct Answer: B

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Question 8

A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

A. 20°

B. 30°

Correct C. 40°

D. 50°

Correct Answer: C

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Question 9

A 10 μF capacitor is connected in series with a 5 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 0.1 s

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

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Question 10

A 2 kg object is moving in a circular path with a radius of 3 m. If the object has a speed of 4 m/s, what is 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 11

A light ray passes from air into a glass slab 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 12

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 force acting on the particle?

A. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 13

A 12 V battery is connected to a 4 Ω resistor. What is the current flowing through the resistor?

A. 2 A

Correct B. 3 A

C. 4 A

D. 6 A

Correct Answer: B

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Question 14

A simple harmonic motion has a maximum displacement of 5 cm and a period of 2 s. What is the angular frequency?

A. 1 rad/s

Correct B. 2 rad/s

C. 3 rad/s

D. 4 rad/s

Correct Answer: B

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Question 15

A light ray passes through a prism of angle 60°. If the angle of incidence is 30°, what is the angle of deviation?

A. 30°

B. 40°

Correct C. 50°

D. 60°

Correct Answer: C

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Question 16

A particle of mass 2 kg is attached to a spring with spring cons\tant 4 N/m. If the particle is displaced by 1 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.

A. 1 rad/s

Correct B. 2 rad/s

C. 3 rad/s

D. 4 rad/s

Correct Answer: B

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Question 17

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10 nF, determine the potential difference between the plates when a charge of 5 μC is stored.

A. 0.5 V

Correct B. 1 V

C. 2 V

D. 5 V

Correct Answer: B

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Question 18

A radioactive sample decays according to the equation N(t) = N0e^\( -λt \), where N(t) is the number of nuclei remaining at time t, N0 is the initial number of nuclei, λ is the decay cons\tant, and t is time. If the half-life of the sample is 10 years, determine the decay cons\tant.

Correct A. 0.000693 yr^-1

B. 0.00693 yr^-1

C. 0.0693 yr^-1

D. 0.693 yr^-1

Correct Answer: A

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Question 19

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 V battery. If the circuit is closed, determine the current flowing through the 10 Ω resistor.

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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Question 20

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

A. 1 m/s

Correct B. 2 m/s

C. 3 m/s

D. 4 m/s

Correct Answer: B

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Question 21

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.5 L, what is the final volume?

A. 3.33 L

Correct B. 4.00 L

C. 5.00 L

D. 6.67 L

Correct Answer: B

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Question 22

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, what is the magnitude of the acceleration?

A. 5 m/s^2

Correct B. 10 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 23

A photon has an energy of 2.5 eV. What is its wavelength?

A. 500 nm

B. 1000 nm

Correct C. 2000 nm

D. 5000 nm

Correct Answer: C

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Question 24

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 5 V is applied across it, what is the charge stored?

A. 50 μC

Correct B. 100 μC

C. 200 μC

D. 500 μC

Correct Answer: B

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Question 25

A heat engine operates between two temperatures of 300 K and 400 K. If it has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 350 K

B. 400 K

Correct C. 450 K

D. 500 K

Correct Answer: C

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