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POST UTME ESUT 2024 Physics | Objective

Are you preparing for POST UTME ESUT 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 of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal force acting on the particle?

A. 12 N

Correct B. 16 N

C. 20 N

D. 24 N

Correct Answer: B

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Question 2

A parallel plate capacitor has a capaci\tance of 5 μF. If a potential difference of 10 V is applied across the plates, what is the charge stored on the capacitor?

Correct A. 50 μC

B. 60 μC

C. 70 μC

D. 80 μC

Correct Answer: A

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Question 3

A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. What is the volume of the gas at a pressure of 2 atm and a temperature of 400 K?

A. 1 L

B. 2 L

Correct C. 3 L

D. 4 L

Correct Answer: C

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Question 4

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

A. 50 Bq

B. 25 Bq

C. 12.5 Bq

Correct D. 6.25 Bq

Correct Answer: D

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Question 5

A vector Δπ has a magnitude of 3 m and makes an angle of 60° with the x-axis. What is the x-component of the vector?

Correct A. 1.5 m

B. 2 m

C. 2.5 m

D. 3 m

Correct Answer: A

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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 projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, 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 8

A 100 Ω resistor is connected in series with a 50 Ω resistor and a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?

A. 0.2 A

B. 0.3 A

Correct C. 0.4 A

D. 0.5 A

Correct Answer: C

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Question 9

A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 2 m/s

B. 4 m/s

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

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Question 10

A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the force acting on the particle?

A. 2 N

B. 4 N

Correct C. 6 N

D. 8 N

Correct Answer: C

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Question 11

A gas is contained in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. Which of the following statements is true about the change in volume of the gas?

A. The volume of the gas increases.

Correct B. The volume of the gas decreases.

C. The volume of the gas remains cons\tant.

D. The volume of the gas increases, but at a slower rate than the increase in pressure.

Correct Answer: B

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Question 12

A point charge of +2 μC is placed at the origin of a coordinate system. A second point charge of -3 μC is placed at a dis\tance of 0.5 m from the origin. What is the magnitude of the electric field at a point on the x-axis, 1.5 m from the origin?

A. 2.5 x 10^4 N/C

B. 3.5 x 10^4 N/C

Correct C. 4.5 x 10^4 N/C

D. 5.5 x 10^4 N/C

Correct Answer: C

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Question 13

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 circle is 1.5 m, what is the magnitude of the centripetal acceleration?

A. 1.33 m/s^2

Correct B. 2.67 m/s^2

C. 4 m/s^2

D. 5.33 m/s^2

Correct Answer: B

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Question 14

A convex lens of focal length 0.2 m is used to form an image of an object placed 0.5 m in front of it. What is the magnification of the image?

Correct A. -2

B. -1

C. 1

D. 2

Correct Answer: A

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Question 15

A fluid of density 1000 kg/m^3 is flowing through a horizontal pipe with a cross-sectional area of 0.01 m^2. If the velocity of the fluid is 2 m/s, what is the volume flow rate?

A. 0.02 m^3/s

Correct B. 0.04 m^3/s

C. 0.06 m^3/s

D. 0.08 m^3/s

Correct Answer: B

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Question 16

A spring with a spring cons\tant of 100 N/m is stretched by 0.2 m. What is the work done in stretching the spring?

A. 2 J

Correct B. 4 J

C. 6 J

D. 8 J

Correct Answer: B

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Question 17

A point charge of +5 μC is placed at the origin of a coordinate system. A second point charge of -2 μC is placed at a dis\tance of 0.3 m from the origin. What is the magnitude of the electric field at a point on the x-axis, 0.6 m from the origin?

A. 1.67 x 10^4 N/C

B. 2.67 x 10^4 N/C

Correct C. 3.67 x 10^4 N/C

D. 4.67 x 10^4 N/C

Correct Answer: C

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Question 18

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 40 Ω resistor. If the total resis\tance is 60 Ω, what is the value of the unknown resis\tance?

Correct A. 5 Ω

B. 10 Ω

C. 20 Ω

D. 40 Ω

Correct Answer: A

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Question 19

A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a 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 20

A 100 mL sample of a gas at 27°C and 1 atm is heated to 127°C at cons\tant volume. What is the final pressure of the gas?

A. 2 atm

B. 3 atm

C. 4 atm

Correct D. 5 atm

Correct Answer: D

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Question 21

A radioactive sample has 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 22

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 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 2 m/s

D. 4 m/s

Correct Answer: C

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Question 23

A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is given by $C = \frac{epsilon_0 A}{d}$. If the area of the plates is doubled and the separation is halved, what is the new capaci\tance?

A. $ C' = \frac{\epsilon_0 A}{d} $

Correct B. $ C' = 4 \frac{\epsilon_0 A}{d} $

C. $ C' = 2 \frac{\epsilon_0 A}{d} $

D. $ C' = \frac{\epsilon_0 A}{2d} $

Correct Answer: B

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Question 24

A ray of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $60^\circ$, what is the angle of deviation?

A. $30^\circ$

B. $60^\circ$

Correct C. $90^\circ$

D. $120^\circ$

Correct Answer: C

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Question 25

A sound wave has a frequency of $100\,\text{Hz}$ and a wavelength of $10\,\text{m}$. What is the speed of the sound wave?

A. $100\,\text{m/s}$

B. $1000\,\text{m/s}$

Correct C. $10000\,\text{m/s}$

D. $100000\,\text{m/s}$

Correct Answer: C

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