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POST UTME REDEEMERS UNIVERSITY 2025 Physics | Objective

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Question 1

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the particle?

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 2

A circuit consists of a 12 V battery, a 4 Ω resistor, and an unknown resistor R. If the current in the circuit is 2 A, what is the value of R?

Correct A. 2 Ω

B. 4 Ω

C. 6 Ω

D. 8 Ω

Correct Answer: A

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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 air resis\tance is neglected, what is the maximum height reached by the projectile?

A. 10 m

Correct B. 20 m

C. 30 m

D. 40 m

Correct Answer: B

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Question 4

A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the temperature of the hot reservoir?

A. 400 K

B. 500 K

Correct C. 600 K

D. 700 K

Correct Answer: C

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Question 5

A simple p\endulum has a length of 1 m and a mass of 0.5 kg. If the p\endulum is displaced by 0.1 m from its equilibrium position and released from rest, what is the time period of the p\endulum?

A. 1 s

Correct B. 2 s

C. 3 s

D. 4 s

Correct Answer: B

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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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 7

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 8

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If 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 9

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?

A. 5 μF

Correct B. 10 μF

C. 20 μF

D. 40 μF

Correct Answer: B

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Question 10

A magnetic field of 2 T is applied to a current-carrying wire of length 1 m. If the current is 5 A, what is the force on the wire?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 11

A 2.5 mH inductor is connected in series with a 3.2 μF capacitor across a 12 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.

A. 5.0 Ω

Correct B. 10.0 Ω

C. 15.0 Ω

D. 20.0 Ω

Correct Answer: B

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Question 12

A particle is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 2 m, calculate 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 13

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, calculate the final pressure.

A. 1 atm

B. 2 atm

C. 3 atm

Correct D. 4 atm

Correct Answer: D

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Question 14

A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector B has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, calculate the magnitude of the resul\tant vector A + B.

A. 4 units

B. 5 units

Correct C. 6 units

D. 7 units

Correct Answer: C

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Question 15

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. If an object is placed 30 cm in front of the convex lens, calculate the image dis\tance.

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 16

A radioactive sample of Uranium-238 undergoes \alpha decay. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?

Correct A. 1.54 x 10^-18

B. 1.54 x 10^-17

C. 1.54 x 10^-16

D. 1.54 x 10^-15

Correct Answer: A

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Question 17

A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. If the particle is subjected to a centripetal force F_c = \( m * v^2 \) / r, what is the angular frequency (ω) of the particle?

Correct A. v / r

B. v^2 / r

C. v / r^2

D. v^2 / r^2

Correct Answer: A

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Question 18

A beam of light with a wavelength of 500 nm passes through a double-slit experiment. If the dis\tance between the slits is 0.5 mm and the dis\tance between the slits and the screen is 1 m, what is the fringe width (β) of the interference pattern?

Correct A. 0.05 mm

B. 0.1 mm

C. 0.2 mm

D. 0.5 mm

Correct Answer: A

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Question 19

A particle of mass m is confined to a one-dimensional box of length L. If the particle is in the ground state \( n = 1 \), what is the energy \( E_1 \) of the particle?

Correct A. h^2 / \( 8mL^2 \)

B. h^2 / \( 4mL^2 \)

C. h^2 / \( 16mL^2 \)

D. h^2 / \( 32mL^2 \)

Correct Answer: A

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Question 20

A magnetic field of strength B = 0.5 T is directed perp\endicular to a current-carrying wire of length L = 1 m. If the current in the wire is I = 2 A, what is the force (F) exerted on the wire?

Correct A. 2 BL \sin \theta

B. BL \sin \theta

C. BL \cos \theta

D. BL \tan \theta

Correct Answer: A

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Question 21

A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the kinetic energy of the particle when it has moved 0.1 m from its equilibrium position.

A. 0.5 J

Correct B. 1.0 J

C. 1.5 J

D. 2.0 J

Correct Answer: B

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Question 22

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 0.3 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the potential energy of the block when it has moved 0.2 m from its equilibrium position.

A. 15 J

Correct B. 30 J

C. 45 J

D. 60 J

Correct Answer: B

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Question 23

A particle of mass 3 kg is moving in a circular path with a radius of 0.4 m. The particle is moving at a speed of 2 m/s. Calculate the centripetal force acting on the particle.

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 24

A block of mass 4 kg is placed on a frictionless surface and attached to a horizontal spring with a spring cons\tant of 150 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.

A. 5 rad/s

Correct B. 10 rad/s

C. 15 rad/s

D. 20 rad/s

Correct Answer: B

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Question 25

A particle of mass 2 kg is moving in a circular path with a radius of 0.3 m. The particle is moving at a speed of 3 m/s. Calculate the centripetal acceleration of the particle.

A. 3 m/s^2

B. 6 m/s^2

Correct C. 9 m/s^2

D. 12 m/s^2

Correct Answer: C

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