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POST UTME MOUNTAIN TOP UNIVERSITY 2024 Physics | Objective

Are you preparing for POST UTME MOUNTAIN TOP UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A 1000 Hz AC source is connected to a series RLC circuit with R = 10 Ω, L = 0.1 H, and C = 10 × 10^\( -6 \) F. What is the impedance of the circuit at resonance?

A. 10 Ω

B. 100 Ω

Correct C. 1000 Ω

D. 10,000 Ω

Correct Answer: C

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Question 2

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 net force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 3

A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?

A. 1.7 m

B. 1.8 m

Correct C. 1.9 m

D. 2.0 m

Correct Answer: C

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Question 4

A 12 V battery is connected to a circuit with a resis\tance of 4 Ω. What is the current in the circuit?

A. 1 A

B. 2 A

C. 3 A

Correct D. 4 A

Correct Answer: D

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Question 5

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a pressure of 1 atm. What is the new temperature of the gas?

A. 200 K

B. 250 K

C. 300 K

Correct D. 350 K

Correct Answer: D

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Question 6

A beam 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°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 7

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 acceleration?

A. 0.5 m/s²

B. 1 m/s²

Correct C. 2 m/s²

D. 4 m/s²

Correct Answer: C

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Question 8

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?

A. 8 Ω

B. 10 Ω

C. 12 Ω

Correct D. 16 Ω

Correct Answer: D

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Question 9

A force of 10 N acts on an object of mass 2 kg. What is the acceleration of the object?

A. 2 m/s²

Correct B. 4 m/s²

C. 5 m/s²

D. 10 m/s²

Correct Answer: B

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Question 10

A simple harmonic motion has a maximum displacement of 5 m 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 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 force of 12 N, what is the magnitude of the acceleration of the particle?

A. 12 m/s^2

B. 4 m/s^2

Correct C. 16 m/s^2

D. 24 m/s^2

Correct Answer: C

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Question 12

A light ray passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 40°, what is the angle of deviation?

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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Question 13

A circuit consists of a 12 Ω resistor, a 20 Ω resistor, and a 10 Ω resistor connected in series. If a voltage of 24 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.5 A

B. 1 A

Correct C. 1.5 A

D. 2 A

Correct Answer: C

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Question 14

A block of mass 5 kg is attached to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum velocity of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

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Question 15

A light ray passes through a lens and is focused. If the focal length of the lens is 10 cm and the object dis\tance is 20 cm, what is the image dis\tance?

A. 5 cm

Correct B. 10 cm

C. 15 cm

D. 20 cm

Correct Answer: B

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Question 16

A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the half-life of Uranium-238 is 4.5 billion years, calculate the mass of the sample after 9 billion years.

A. 25 g

B. 50 g

Correct C. 12.5 g

D. 100 g

Correct Answer: C

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Question 17

A 200 Ω resistor is connected in series with a 100 Ω resistor and a 50 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?

A. 0.2 A

Correct B. 0.4 A

C. 0.6 A

D. 0.8 A

Correct Answer: B

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Question 18

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. 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 19

A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the total resis\tance of the circuit?

A. 2.5 Ω

Correct B. 5 Ω

C. 7.5 Ω

D. 10 Ω

Correct Answer: B

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Question 20

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, 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 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-10 F, what is the value of the dielectric cons\tant?

A. 1.0

Correct B. 2.0

C. 3.0

D. 4.0

Correct Answer: B

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Question 22

A thermodynamic system undergoes a process from state A to state B. If the initial temperature is 300 K and the final temperature is 400 K, and the change in entropy is 100 J/K, what is the change in internal energy?

Correct A. -1000 J

B. -500 J

C. 500 J

D. 1000 J

Correct Answer: A

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Question 23

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the angular velocity is 4 rad/s, what is the centripetal acceleration?

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 24

A wave function is given by \psi(x) = Ae^{-ikx}. If the wave function is normalized, what is the value of A?

Correct A. 1

B. 1/\sqrt{2}

C. 1/\sqrt{3}

D. 1/\sqrt{4}

Correct Answer: A

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Question 25

A magnetic field is given by \vec{B} = \( 2\hat{i} + 3\hat{j} \) T. If the magnetic field is perp\endicular to the current, what is the magnitude of the current?

A. 1 A

B. 2 A

Correct C. 3 A

D. 4 A

Correct Answer: C

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