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POST UTME EKSU 2019 Physics | Objective

Are you preparing for POST UTME EKSU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2019 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A solid sphere of radius $R$ and mass $M$ is placed at the bottom of a well of depth $h$. If the sphere is pushed upwards with an initial velocity $v_0$, determine the velocity of the sphere at the top of the well, assuming that the only force acting on the sphere is gravity.

Correct A. $ v = v_0 - g left\( \frac{h}{R} \right \ $ )

B. $ v = v_0 + g left\( \frac{h}{R} \right \ $ )

C. $ v = v_0 - g left\( \frac{h}{R} \right \ $^2 )

D. $ v = v_0 + g left\( \frac{h}{R} \right \ $^2 )

Correct Answer: A

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Question 2

A parallel plate capacitor has a capaci\tance of $C = 2 \times 10^{-6} , \text{F}$ and is charged to a potential difference of $V = 10 , \text{V}$. If the plates are separated by a dis\tance of $d = 0.1 , \text{m}$, determine the electric field between the plates.

Correct A. $ E = \frac{V}{d} $

B. $ E = \frac{V}{2d} $

C. $ E = \frac{V}{d^2} $

D. $ E = \frac{V}{2d^2} $

Correct Answer: A

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Question 3

A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$, determine the acceleration of the particle.

Correct A. $ a = \frac{v^2}{r} $

B. $ a = \frac{v^2}{2r} $

C. $ a = \frac{mv^2}{r^2} $

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

Correct Answer: A

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Question 4

A block of mass $m$ is placed on a frictionless surface and is subject to a horizontal force $F = 10 , \text{N}$. If the block is initially at rest, determine the acceleration of the block after $t = 2 , \text{s}$.

Correct A. $ a = \frac{F}{m} $

B. $ a = \frac{F}{2m} $

C. $ a = \frac{F}{m^2} $

D. $ a = \frac{F}{2m^2} $

Correct Answer: A

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Question 5

A heat engine operates between two temperatures $T_1 = 300 , \text{K}$ and $T_2 = 200 , \text{K}$. If the engine produces $W = 100 , \text{J}$ of work, determine the efficiency of the engine.

Correct A. $ eta = \frac{W}{Q_1} $

B. $ eta = \frac{W}{Q_2} $

C. $ eta = \frac{W}{T_1 - T_2} $

D. $ eta = \frac{W}{T_1 + T_2} $

Correct Answer: A

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Question 6

A solid cylindrical block of wood with a radius of 0.05 m and a height of 0.2 m is floating in water. If the density of wood is 500 kg/m3 and the density of water is 1000 kg/m3, what is the volume of the block that is submerged?

A. 0.01 m3

Correct B. 0.02 m3

C. 0.03 m3

D. 0.04 m3

Correct Answer: B

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Question 7

A 10 V AC source is connected to a 50 Ω resistor. If the frequency of the AC source is 50 Hz, what is the rms value of the current flowing through the resistor?

A. 0.2 A

Correct B. 0.5 A

C. 1.0 A

D. 1.5 A

Correct Answer: B

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Question 8

A lens with a focal length of 0.2 m is used to form an image of an object placed 0.5 m away from the lens. If the object is 0.1 m tall, what is the height of the image?

A. 0.05 m

B. 0.1 m

Correct C. 0.2 m

D. 0.3 m

Correct Answer: C

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Question 9

A 100 W light bulb is connected to a 220 V AC source. If the power factor of the bulb is 0.8, what is the current drawn by the bulb?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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Question 10

A 10 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

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Question 11

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 path is 3 m, calculate the magnitude of the force acting on the particle.

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 12

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, calculate the current flowing through the circuit.

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 13

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 produced.

A. 0.4 m/s^2

B. 0.8 m/s^2

C. 1.2 m/s^2

Correct D. 1.6 m/s^2

Correct Answer: D

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Question 14

A circuit consists of a resistor of resis\tance 10 Ω and a capacitor of capaci\tance 20 μF. If a voltage of 100 V is applied across the circuit, calculate the time cons\tant of the circuit.

A. 0.2 s

B. 0.4 s

Correct C. 0.6 s

D. 0.8 s

Correct Answer: C

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Question 15

A body of mass 10 kg is moving with a velocity of 20 m/s. If the body is subjected to a force of 40 N, calculate the work done in moving the body through a dis\tance of 5 m.

A. 100 J

B. 200 J

C. 300 J

Correct D. 400 J

Correct Answer: D

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Question 16

A 50 Hz, 200 V AC supply is connected across a series R-L circuit with R = 10 Ω and L = 0.1 H. Calculate 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 17

A particle of mass 0.1 kg is attached to a spring with spring cons\tant 10 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the angular frequency of the particle's motion.

A. 1 rad/s

B. 2 rad/s

Correct C. 5 rad/s

D. 10 rad/s

Correct Answer: C

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Question 18

A 2 μF capacitor is connected in series with a 10 kΩ resistor. A 100 V DC supply is connected across the circuit. Calculate the time cons\tant of the circuit.

A. 0.1 s

B. 0.2 s

Correct C. 0.5 s

D. 1 s

Correct Answer: C

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Question 19

A 100 μA current flows through a wire of resis\tance 10 Ω. Calculate the potential difference across the wire.

A. 1 V

B. 2 V

C. 5 V

Correct D. 10 V

Correct Answer: D

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Question 20

A 50 Hz AC supply is connected across a series R-L circuit with R = 20 Ω and L = 0.2 H. Calculate the power factor of the circuit.

A. 0.5

B. 0.6

Correct C. 0.7

D. 0.8

Correct Answer: C

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Question 21

A radioactive sample of Δₗ emits Δₗβ particles with a half-life of 3.8 × 10¹ years. If the initial activity is 2.5 × 10¹ Bq, what is the activity after 1.2 × 10¹ years?

A. 1.1 × 10¹ Bq

Correct B. 1.2 × 10¹ Bq

C. 1.3 × 10¹ Bq

D. 1.4 × 10¹ Bq

Correct Answer: B

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Question 22

A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. What is the speed of the block when it passes through its equilibrium position?

A. 0.20 m/s

B. 0.50 m/s

Correct C. 1.0 m/s

D. 1.5 m/s

Correct Answer: C

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Question 23

A 5.0 µF capacitor is connected in series with a 10 k× resistor and a 20 µF capacitor. If a 12 V battery is connected across the circuit, what is the charge on the 5.0 µF capacitor?

A. 0.20 µC

Correct B. 0.30 µC

C. 0.40 µC

D. 0.50 µC

Correct Answer: B

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Question 24

A 0.50 kg object is moving in a circular path with a radius of 0.20 m. If the object has a speed of 2.0 m/s, what is the magnitude of the centripetal acceleration?

A. 0.20 m/s²

B. 0.50 m/s²

Correct C. 1.0 m/s²

D. 1.5 m/s²

Correct Answer: C

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Question 25

A 10 µF capacitor is connected in parallel with a 20 µF capacitor. If a 12 V battery is connected across the circuit, what is the equivalent capaci\tance?

A. 10 µF

B. 15 µF

Correct C. 20 µF

D. 25 µF

Correct Answer: C

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