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POST UTME RHEMA UNIVERSITY 2024 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 2024 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 8 m/s^2

B. 12 m/s^2

Correct C. 16 m/s^2

D. 20 m/s^2

Correct Answer: C

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Question 2

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 V battery. Calculate 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 3

A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, calculate the acceleration of the body.

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 4

A 100 Ω resistor is connected in parallel with a 200 Ω resistor. Calculate the equivalent resis\tance of the circuit.

A. 50 Ω

Correct B. 66.67 Ω

C. 100 Ω

D. 200 Ω

Correct Answer: B

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Question 5

A particle of mass 3 kg is moving in a circular path with a cons\tant speed of 6 m/s. If the radius of the circular path is 2 m, calculate the magnitude of the centripetal acceleration.

A. 12 m/s^2

B. 16 m/s^2

Correct C. 20 m/s^2

D. 24 m/s^2

Correct Answer: C

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Question 6

A light ray is incident on a glass slab at an angle of 45°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?

Correct A. 30°

B. 45°

C. 60°

D. 75°

Correct Answer: A

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Question 7

A charged particle moves through a uniform magnetic field. If the particle has a charge of +2e and a velocity of 5 × 10^6 m/s, and the magnetic field has a strength of 0.5 T, what is the radius of the circular path?

A. 1.25 × 10^-3 m

B. 2.5 × 10^-3 m

Correct C. 5.0 × 10^-3 m

D. 10.0 × 10^-3 m

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

Correct C. 12 Ω

D. 16 Ω

Correct Answer: C

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Question 9

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

A. 1.57 rad/s

B. 3.14 rad/s

Correct C. 6.28 rad/s

D. 12.56 rad/s

Correct Answer: C

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Question 10

A light source is placed 2 m away from a convex lens with a focal length of 0.5 m. What is the image dis\tance?

A. 1.5 m

Correct B. 2.5 m

C. 3.5 m

D. 4.5 m

Correct Answer: B

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Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the position operator $hat{x}$ in the ground state?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{\pi}

Correct Answer: B

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Question 12

A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of radius $r$. The loop has a resis\tance of $R$ and an induc\tance of $L$. What is the time cons\tant of the loop?

Correct A. \frac{L}{R}

B. \frac{R}{L}

C. \frac{L^2}{R}

D. \frac{R^2}{L}

Correct Answer: A

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Question 13

A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. What is the energy released in the decay?

Correct A. \frac{m_n - m_p - m_e}{A}c^2

B. \frac{m_n - m_p}{A}c^2

C. \frac{m_p - m_e}{A}c^2

D. \frac{m_n - m_e}{A}c^2

Correct Answer: A

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Question 14

A light ray passes through a prism of re\fractive index $n$ and is deviated by an angle $\theta$. What is the angle of emergence?

Correct A. \arc\sin\left$ \frac{n}{n_0}\sin\theta_i\right $

B. \arc\cos\left$ \frac{n}{n_0}\sin\theta_i\right $

C. \arc\tan\left$ \frac{n}{n_0}\sin\theta_i\right $

D. \arc\sin\left$ \frac{n_0}{n}\sin\theta_i\right $

Correct Answer: A

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Question 15

A beam of light of wavelength $\lambda$ is incident on a dif\fraction grating of spacing $d$. What is the angle of dif\fraction?

Correct A. \frac{m\lambda}{d}

B. \frac{d}{m\lambda}

C. \frac{\lambda}{m\lambda}

D. \frac{m\lambda}{\lambda}

Correct Answer: A

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Question 16

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. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 17

A light ray passes from air into a glass block with a re\fractive index of 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 18

A gas is heated from 20°C to 80°C at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?

A. 1.33 atm

B. 1.5 atm

Correct C. 1.67 atm

D. 2 atm

Correct Answer: C

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Question 19

A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?

A. 7 m/s

B. 8 m/s

Correct C. 9 m/s

D. 10 m/s

Correct Answer: C

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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 image is formed 1.5 m away from the lens, what is the magnification of the lens?

A. -2

Correct B. -1

C. 1

D. 2

Correct Answer: B

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Question 21

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{npi x}{L}\right $). What is the probability density of finding the particle in the region $0 leq x leq L/2$?

A. $ \frac{1}{L} $

Correct B. $ \frac{2}{L} $

C. $ \frac{4}{L} $

D. $ \frac{8}{L} $

Correct Answer: B

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Question 22

A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} F$. The plates are separated by a dis\tance of $d = 0.1 m$. A potential difference of $V = 10 V$ is applied across the plates. What is the electric field between the plates?

A. $ 100 N/C $

Correct B. $ 200 N/C $

C. $ 500 N/C $

D. $ 1000 N/C $

Correct Answer: B

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Question 23

A ray of light passes from air into a glass block with a re\fractive index of $n = 1.5$. The angle of incidence is $30^circ$. What is the angle of re\fraction?

Correct A. $ 20^circ $

B. $ 30^circ $

C. $ 45^circ $

D. $ 60^circ $

Correct Answer: A

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Question 24

A particle of mass $m$ is moving in a circular orbit with a radius of $r$. The particle is subject to a centripetal force of magnitude $F_c = \frac{mv^2}{r}$. What is the angular momentum of the particle?

A. $ \frac{mv^2}{r} $

Correct B. $ \frac{mv}{r} $

C. $ \frac{mvr}{r} $

D. $ \frac{mv^2}{r^2} $

Correct Answer: B

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Question 25

A light ray passes through a convex lens with a focal length of $f = 20 cm$. The object dis\tance is $u = 30 cm$. What is the image dis\tance?

A. ( 10 cm )

Correct B. ( 20 cm )

C. ( 30 cm )

D. ( 40 cm )

Correct Answer: B

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