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POST UTME REDEEMERS UNIVERSITY 2023 Physics | Objective

Are you preparing for POST UTME REDEEMERS UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

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?

A. 96 g

Correct B. 98 g

C. 100 g

D. 102 g

Correct Answer: B

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Question 2

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

Correct A. 0.5 A

B. 1 A

C. 2 A

D. 3 A

Correct Answer: A

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Question 3

A gas at 300 K and 1 atm is compressed to 2 atm. What is the new volume of the gas?

A. 0.5 L

B. 1 L

Correct C. 2 L

D. 4 L

Correct Answer: C

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Question 4

A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the magnitude of the centripetal 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 5

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?

A. 10°

Correct B. 20°

C. 30°

D. 40°

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 acceleration of 2 m/s^2, what is the magnitude of the 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 7

A heat engine operates between two reservoirs at 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. 0.33

C. 0.4

D. 0.5

Correct Answer: B

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Question 8

A simple p\endulum of length 1 m is released from an initial angle of 30°. If the p\endulum is released from rest, what is the maximum speed of the p\endulum at the bottom of its swing?

A. 2 m/s

B. 3 m/s

Correct C. 4 m/s

D. 5 m/s

Correct Answer: C

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Question 9

A force of 10 N acts on an object of mass 2 kg, cau\sing it to accelerate at 2 m/s^2. What is the net force acting on the object?

A. 5 N

Correct B. 10 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 10

A quantum particle of mass 1 kg is confined to a one-dimensional box of length 1 m. If the particle is in the ground state, what is the energy of the particle?

A. 10^-34 J

B. 10^-33 J

C. 10^-32 J

Correct D. 10^-31 J

Correct Answer: D

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Question 11

A 50 Hz, 200 V AC source is connected to a series RLC circuit with a resis\tance of 10 Ω, an inductive reac\tance of 20 Ω, and a capacitive reac\tance of 15 Ω. What is the impedance of the circuit?

A. ( 25 Omega )

Correct B. ( 30 Omega )

C. ( 35 Omega )

D. ( 40 Omega )

Correct Answer: B

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Question 12

A sound wave with a frequency of 200 Hz has a maximum displacement of 1.5 mm. What is the amplitude of the wave?

Correct A. $ 0.75 , \text{mm} $

B. $ 1.0 , \text{mm} $

C. $ 1.25 , \text{mm} $

D. $ 1.5 , \text{mm} $

Correct Answer: A

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Question 13

A convex lens with a focal length of 20 cm is used to form an image of an object placed 30 cm away from the lens. What is the magnification of the image?

Correct A. $ -0.5 $

B. $ -1.0 $

C. $ -1.5 $

D. $ -2.0 $

Correct Answer: A

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Question 14

A magnetic field of 0.5 T is applied to a wire with a length of 2 m and a resis\tance of 10 Ω. What is the induced emf in the wire?

A. $ 0.1 , \text{V} $

Correct B. $ 0.2 , \text{V} $

C. $ 0.3 , \text{V} $

D. $ 0.4 , \text{V} $

Correct Answer: B

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Question 15

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

A. $ 10 , \text{N} $

B. $ 20 , \text{N} $

Correct C. $ 30 , \text{N} $

D. $ 40 , \text{N} $

Correct Answer: C

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Question 16

A parallel plate capacitor has a capaci\tance of 2 μF. If a potential difference of 10 V is applied across it, what is the charge stored on each plate?

Correct A. 20 μC

B. 20 mC

C. 2 μC

D. 2 mC

Correct Answer: A

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Question 17

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 18

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 it?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 19

A photon of energy 2 eV is incident on a metal surface with a work function of 1.5 eV. What is the maximum kinetic energy of the photoelectron?

Correct A. 0.5 eV

B. 1 eV

C. 1.5 eV

D. 2 eV

Correct Answer: A

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Question 20

A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 15 V is applied across it, what is the energy stored in the capacitor?

A. 75 μJ

B. 150 μJ

Correct C. 225 μJ

D. 300 μJ

Correct Answer: C

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Question 21

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, determine the time $t$ at which the particle's kinetic energy is equal to its potential energy.

A. \frac{\pi}{2\omega}

B. \frac{\pi}{4\omega}

Correct C. \frac{\pi}{\omega}

D. \frac{2\pi}{\omega}

Correct Answer: C

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Question 22

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, determine the frequency of the reflected wave.

Correct A. f

B. 2f

C. \frac{v}{f}

D. \frac{f}{v}

Correct Answer: A

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Question 23

A block of mass $m$ is placed on a frictionless surface and attached to a spring with spring cons\tant $k$. If the block is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest, determine the maximum kinetic energy of the block.

Correct A. \frac{1}{2}m\omega^2x_0^2

B. m\omega^2x_0^2

C. \frac{1}{2}m\omega^2x_0^4

D. m\omega^2x_0^4

Correct Answer: A

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Question 24

A particle of mass $m$ is moving in a circular orbit with radius $r$ and angular velocity $\omega$. Determine the magnitude of the particle's centripetal acceleration.

A. \frac{\omega^2r}{2}

B. \frac{\omega^2r}{4}

Correct C. \frac{\omega^2r}{2}

D. \frac{\omega^2r}{4}

Correct Answer: C

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Question 25

A sound wave with frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, determine the wavelength of the reflected wave.

Correct A. \lambda

B. 2\lambda

C. \frac{v}{f}

D. \frac{f}{v}

Correct Answer: A

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