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POST UTME RHEMA UNIVERSITY 2018 Physics | Objective

Are you preparing for POST UTME RHEMA UNIVERSITY 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 particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.

Correct A. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \)

B. \( \omega = \frac{1}{2\pi} \sqrt{\frac{m}{k}} \)

C. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 - \frac{m}{k}} \)

D. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 + \frac{m}{k}} \)

Correct Answer: A

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Question 2

A magnetic field of 5 T is applied to a coil of wire with 100 turns. The coil has a radius of 0.2 m and a resis\tance of 10 Ω. If the current in the coil is 2 A, find the induced emf in the coil.

Correct A. \( \varepsilon = -N\frac{d\Phi}{dt} \)

B. \( \varepsilon = N\frac{d\Phi}{dt} \)

C. \( \varepsilon = -\frac{d\Phi}{dt} \)

D. \( \varepsilon = \frac{d\Phi}{dt} \)

Correct Answer: A

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Question 3

A point charge of 5 μC is placed at the center of a spherical conductor with a radius of 0.1 m. Find the electric field at a point 0.05 m from the center of the sphere.

Correct A. \( E = \frac{kQ}{r^2} \)

B. \( E = \frac{kQ}{r} \)

C. \( E = \frac{kQ}{r^3} \)

D. \( E = \frac{kQ}{r^4} \)

Correct Answer: A

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Question 4

A capacitor consists of two parallel plates, each with an area of 0.1 m^2 and separated by a dis\tance of 0.01 m. The plates are charged to a potential difference of 10 V. Find the capaci\tance of the capacitor.

Correct A. \( C = \frac{A\varepsilon_0}{d} \)

B. \( C = \frac{Ad}{varepsilon_0} \)

C. \( C = \frac{A}{varepsilon_0d} \)

D. \( C = \frac{Ad}{varepsilon_0^2} \)

Correct Answer: A

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Question 5

A current of 5 A flows through a wire with a resis\tance of 10 Ω. Find the power dissipated in the wire.

Correct A. \( P = I^2R \)

B. \( P = IR \)

C. \( P = \frac{I^2R}{2} \)

D. \( P = \frac{IR}{2} \)

Correct Answer: A

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Question 6

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 resulting Radium-226 nucleus?

Correct A. 234 u

B. 238 u

C. 242 u

D. 246 u

Correct Answer: A

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Question 7

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. What is the focal length of the combination?

A. 10 cm

B. 15 cm

Correct C. 25 cm

D. 30 cm

Correct Answer: C

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Question 8

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the force acting on the particle?

A. 10 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 9

A heat engine operates between the temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

Correct B. 0.30

C. 0.35

D. 0.40

Correct Answer: B

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Question 10

A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. What is the angle of deviation?

A. 10°

B. 15°

Correct C. 20°

D. 25°

Correct Answer: C

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Question 11

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 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 12

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the magnitude of the current flowing through the 4 Ω resistor?

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

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Question 13

A beam of light is incident on a glass slab at an angle of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 14

A quantum particle is confined to a one-dimensional box of length 2 m. If the particle has an energy of 10 eV, what is the wavelength of the particle?

A. 1.2 nm

B. 1.5 nm

Correct C. 1.8 nm

D. 2.1 nm

Correct Answer: C

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Question 15

A current of 5 A flows through a wire of resis\tance 2 Ω. If the wire is connected to a 12 V battery, what is the power consumed by the wire?

A. 20 W

B. 25 W

Correct C. 30 W

D. 35 W

Correct Answer: C

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Question 16

A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block as it passes through the equilibrium position.

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 17

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 18

A radioactive sample decays according to the equation \[ N(t) = N_0 \cdot e^{-\lambda t} \]. If the initial number of nuclei is 1000 and the decay cons\tant is 0.1 min^-1, calculate the number of nuclei remaining after 10 minutes.

Correct A. 100

B. 200

C. 300

D. 400

Correct Answer: A

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Question 19

A particle of mass 1 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, calculate the centripetal force acting on the particle.

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 20

A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. If the light source is moved 0.5 m closer to the lens, calculate the new image dis\tance.

A. 1 m

Correct B. 1.5 m

C. 2 m

D. 2.5 m

Correct Answer: B

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Question 21

A beam of light is incident on a glass plate at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.

A. 30°

B. 35°

Correct C. 40°

D. 45°

Correct Answer: C

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Question 22

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 6 m/s, calculate the centripetal force acting on the particle.

A. 40 N

B. 50 N

Correct C. 60 N

D. 70 N

Correct Answer: C

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Question 23

A light source is placed 3 m away from a convex lens with a focal length of 1 m. If the light source is moved 1 m closer to the lens, calculate the new image dis\tance.

A. 2 m

Correct B. 2.5 m

C. 3 m

D. 3.5 m

Correct Answer: B

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Question 24

A beam of light is incident on a glass plate at an angle of 60°. If the re\fractive index of the glass is 1.8, calculate the angle of re\fraction.

A. 40°

B. 45°

C. 50°

D. 55°

Correct Answer: VIEW ANSWER

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Question 25

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. 24 N

Correct Answer: B

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