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POST UTME RHEMA UNIVERSITY 2023 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 2023 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 radius of 3 m. If the particle's velocity is 4 m/s, what is its angular velocity?

A. 10 rad/s

Correct B. 20 rad/s

C. 30 rad/s

D. 40 rad/s

Correct Answer: B

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Question 2

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 0.2 s

Correct B. 0.5 s

C. 1 s

D. 2 s

Correct Answer: B

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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. 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 4

A 2 m long wire is carrying a current of 5 A. If the magnetic field at a dis\tance of 1 m from the wire is 0.1 T, what is the current in a nearby wire that is 1.5 m long and has a magnetic field of 0.2 T at a dis\tance of 0.5 m?

A. 10 A

B. 15 A

Correct C. 20 A

D. 25 A

Correct Answer: C

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Question 5

A 50 Hz AC voltage is applied across a 10 Ω resistor. What is the current flowing through the resistor?

A. 2 A

B. 5 A

Correct C. 10 A

D. 20 A

Correct Answer: C

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Question 6

A particle of mass m is confined to a one-dimensional box of length L. If the particle is in the ground state, what is the expectation value of its position?

Correct A. L/2

B. L/\sqrt{2}

C. L/\pi

D. L/\sqrt{\pi}

Correct Answer: A

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Question 7

A ray of light 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. 18°

Correct B. 20°

C. 22°

D. 25°

Correct Answer: B

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Question 8

A radioactive sample decays with a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

A. 25 Bq

Correct B. 50 Bq

C. 75 Bq

D. 100 Bq

Correct Answer: B

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Question 9

A circuit consists of a 12 Ω resistor and a 20 Ω resistor connected in series. If a 6 V battery is connected across the circuit, what is the current flowing through the 12 Ω resistor?

A. 0.25 A

Correct B. 0.5 A

C. 0.75 A

D. 1 A

Correct Answer: B

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Question 10

A particle of mass m is projected at an angle θ to the horizontal with an initial velocity v. If the particle is under the influence of gravity, what is the time of flight?

Correct A. v \sin(θ) / g

B. v \cos(θ) / g

C. v \sin(θ) / $ g \sin\( θ \ $)

D. v \cos(θ) / $ g \cos\( θ \ $)

Correct Answer: A

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Question 11

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 12 V is applied across it, what is the charge stored on the capacitor?

A. 120 μC

Correct B. 240 μC

C. 360 μC

D. 480 μC

Correct Answer: B

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Question 12

A current of 5 A flows through a wire of resis\tance 10 Ω. What is the power dissipated in the wire?

Correct A. 25 W

B. 50 W

C. 75 W

D. 100 W

Correct Answer: A

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Question 13

A magnetic field of 2 T is applied to a coil of 100 turns. If the coil has a radius of 0.1 m, what is the magnetic flux through the coil?

A. 0.02 Wb

Correct B. 0.04 Wb

C. 0.06 Wb

D. 0.08 Wb

Correct Answer: B

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Question 14

A capacitor of 20 μF is connected in series with a resistor of 50 Ω. If a voltage of 15 V is applied across the circuit, what is the current flowing through the circuit?

A. 0.3 A

Correct B. 0.6 A

C. 0.9 A

D. 1.2 A

Correct Answer: B

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Question 15

A particle of mass 0.1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. What is the centripetal force acting on the particle?

A. 0.1 N

B. 0.2 N

Correct C. 0.3 N

D. 0.4 N

Correct Answer: C

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Question 16

A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, determine the time $t$ at which the particle reaches its maximum height.

Correct A. $ t = \frac{v_0 \sin \theta}{g} $

B. $ t = \frac{v_0 \cos \theta}{g} $

C. $ t = \frac{v_0 \sin \theta}{g} + \frac{v_0 \cos \theta}{g} $

D. $ t = \frac{v_0 \sin \theta}{g} - \frac{v_0 \cos \theta}{g} $

Correct Answer: A

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Question 17

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, determine the impedance $Z$ of the circuit.

Correct A. $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} )

B. $ Z = \sqrt{R^2 + \( X_L + X_C \ $^2} )

C. $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} + \sqrt{R^2 + $ X_L + X_C $^2} )

D. $ Z = \sqrt{R^2 + \( X_L - X_C \ $^2} - \sqrt{R^2 + $ X_L + X_C $^2} )

Correct Answer: A

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Question 18

A gas is confined to a cylinder of volume $V$ by a piston of mass $m$. If the gas is heated, cau\sing its pressure to increase, determine the force $F$ exerted on the piston.

Correct A. $ F = P A $

B. $ F = P V $

C. $ F = P A + P V $

D. $ F = P A - P V $

Correct Answer: A

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Question 19

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the projectile experiences a uniform gravitational field of strength $g$, determine the range $R$ of the projectile.

Correct A. $ R = \frac{v_0^2 \sin 2\theta}{g} $

B. $ R = \frac{v_0^2 \cos 2\theta}{g} $

C. $ R = \frac{v_0^2 \sin 2\theta}{g} + \frac{v_0^2 \cos 2\theta}{g} $

D. $ R = \frac{v_0^2 \sin 2\theta}{g} - \frac{v_0^2 \cos 2\theta}{g} $

Correct Answer: A

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Question 20

A circuit consists of a resistor $R$ and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, determine the reac\tance $X_C$ of the capacitor.

Correct A. $ X_C = \frac{1}{omega C} $

B. $ X_C = omega C $

C. $ X_C = \frac{1}{omega C} + omega C $

D. $ X_C = \frac{1}{omega C} - omega C $

Correct Answer: A

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Question 21

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. 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 22

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?

A. 10 cm

Correct B. 15 cm

C. 20 cm

D. 25 cm

Correct Answer: B

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Question 23

A point charge of +2 μC is placed at the origin. What is the electric potential at a point 2 m away from the charge?

A. 100 V

B. 200 V

Correct C. 300 V

D. 400 V

Correct Answer: C

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Question 24

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 25

A magnetic field of 0.5 T is applied to a current-carrying wire of length 1 m. If the current is 2 A, what is the force on the wire?

A. 1 N

Correct B. 2 N

C. 3 N

D. 4 N

Correct Answer: B

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