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POST UTME REDEEMERS UNIVERSITY 2018 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 2018 Physics (Objective) questions designed to simulate the real exam environment.

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Question 1

A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.20 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.10 A m^2

Correct B. 0.20 A m^2

C. 0.50 A m^2

D. 1.00 A m^2

Correct Answer: B

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Question 2

A particle of mass 2.0 kg is attached to a spring with a force cons\tant of 100 N/m. The particle is displaced by 0.20 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?

A. 1.0 rad/s

B. 2.0 rad/s

Correct C. 5.0 rad/s

D. 10.0 rad/s

Correct Answer: C

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Question 3

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5.0 Ω resistor connected in series. A 12 V battery is connected across the circuit. What is the current in the circuit?

A. 0.50 A

Correct B. 1.0 A

C. 2.0 A

D. 3.0 A

Correct Answer: B

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Question 4

A 100 μF capacitor is connected in parallel with a 200 μF capacitor. What is the equivalent capaci\tance of the circuit?

A. 50 μF

B. 100 μF

C. 200 μF

Correct D. 300 μF

Correct Answer: D

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Question 5

A 10 V AC source is connected in series with a 20 Ω resistor and a 50 μF capacitor. What is the impedance of the circuit?

A. 10 Ω

B. 20 Ω

Correct C. 30 Ω

D. 40 Ω

Correct Answer: C

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Question 6

A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 20 μF capacitor. If the maximum voltage across the capacitor is 100 V, what is the phase angle between the voltage and current?

A. π/4

B. π/6

Correct C. π/3

D. π/2

Correct Answer: C

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Question 7

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 8

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 120 V AC voltage source is connected across the circuit, what is the total resis\tance of the circuit?

A. 60 Ω

B. 70 Ω

Correct C. 80 Ω

D. 90 Ω

Correct Answer: C

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Question 9

A 5 kg block is moving at a speed of 2 m/s on a frictionless surface. If the block is subjected to a cons\tant force of 10 N, what is the acceleration of the block?

A. 0.5 m/s^2

Correct B. 1.0 m/s^2

C. 1.5 m/s^2

D. 2.0 m/s^2

Correct Answer: B

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Question 10

A 1000 W heater is connected to a 120 V AC voltage source. If the resis\tance of the heater is 10 Ω, what is the current drawn by the heater?

A. 10 A

B. 20 A

Correct C. 30 A

D. 40 A

Correct Answer: C

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Question 11

A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle is subjected to a centripetal force $F_c = \frac{mv^2}{R}$. If the particle is moving in a clockwise direction, what is the direction of the centripetal force?

Correct A. Towards the center of the circle

B. Away from the center of the circle

C. Perp\endicular to the direction of motion

D. Parallel to the direction of motion

Correct Answer: A

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Question 12

A wave of wavelength $\lambda$ and frequency $f$ is propagating through a medium. If the wave is reflected from a fixed \end, what is the nature of the reflected wave?

A. The reflected wave has the same amplitude as the incident wave

B. The reflected wave has twice the amplitude of the incident wave

Correct C. The reflected wave has half the amplitude of the incident wave

D. The reflected wave has zero amplitude

Correct Answer: C

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Question 13

A projectile is launched from the ground with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $R$ from the point of launch, what is the time of flight?

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

B. $\frac{v_0\sin\theta}{g}$

C. $\frac{2v_0\cos\theta}{g}$

D. $\frac{v_0\cos\theta}{g}

Correct Answer: A

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Question 14

A magnetic field is produced by a current-carrying wire. If the current is increased by a factor of 2, what happens to the magnetic field?

Correct A. The magnetic field increases by a factor of 2

B. The magnetic field decreases by a factor of 2

C. The magnetic field remains unchanged

D. The magnetic field increases by a factor of 4

Correct Answer: A

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Question 15

A system is in equilibrium under the action of three forces. If two of the forces are equal in magnitude and opposite in direction, what is the condition for the third force to be in equilibrium?

Correct A. The third force is equal in magnitude to the sum of the other two forces

B. The third force is equal in magnitude to the difference of the other two forces

C. The third force is equal in magnitude to one of the other two forces

D. The third force is equal in magnitude to the product of the other two forces

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 force exerted on the particle?

A. 8 N

B. 10 N

Correct C. 12 N

D. 16 N

Correct Answer: C

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Question 17

A gas expands from an initial volume of 2 L to a final volume of 5 L at a cons\tant temperature of 300 K. If the initial pressure is 2 atm, what is the final pressure?

A. 1 atm

B. 1.5 atm

C. 2 atm

Correct D. 3 atm

Correct Answer: D

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Question 18

A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 50 Ω, what is the current flowing through the bulb?

A. 0.5 A

Correct B. 1 A

C. 2 A

D. 4 A

Correct Answer: B

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Question 19

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 20

A 10 kg block is moving at a speed of 5 m/s on a frictionless surface. If the block is subjected to a force of 20 N, what is the acceleration of the block?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 4 m/s^2

D. 5 m/s^2

Correct Answer: C

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Question 21

A radioactive sample of uranium-238 undergoes \alpha decay. If the initial mass of the sample is 200 g, what is the mass of the daughter nucleus after 10 half-lives?

Correct A. 25 g

B. 50 g

C. 100 g

D. 200 g

Correct Answer: A

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Question 22

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/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 23

A gas at a pressure of 2 atm and a temperature of 300 K is allowed to expand to a volume of 5 m^3. What is the final pressure of the gas?

A. 0.4 atm

Correct B. 0.8 atm

C. 1.2 atm

D. 1.6 atm

Correct Answer: B

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Question 24

A magnetic field of 0.5 T is applied to a coil of wire with 100 turns and a resis\tance of 2 ohms. What is the induced emf in the coil?

A. 0.5 V

B. 1 V

Correct C. 2 V

D. 5 V

Correct Answer: C

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Question 25

A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. What is the maximum height reached by the projectile?

A. 5 m

Correct B. 10 m

C. 15 m

D. 20 m

Correct Answer: B

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