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POST UTME DELSU 2023 Physics | Objective

Are you preparing for POST UTME DELSU 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.

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Question 1

A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ in terms of $k$ and $m$.

A. \omega = \frac{k}{m}

B. \omega = \sqrt{\frac{m}{k}}

C. \omega = \frac{m}{k}

Correct D. \omega = \sqrt{\frac{k}{m}}

Correct Answer: D

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Question 2

A magnetic field is produced by a current-carrying wire. The magnetic field lines are directed perp\endicular to the wire and form concentric circles around it. What is the direction of the magnetic field at point P, which is located at a dis\tance $r$ from the wire?

Correct A. towards the wire

B. away from the wire

C. perp\endicular to the wire

D. in the direction of the current

Correct Answer: A

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Question 3

A container filled with water is placed under a pressure of $P$ atm. The height of the water column is $h$. What is the pressure at the bottom of the container in terms of $P$ and $h$?

Correct A. P + \rho gh

B. P - \rho gh

C. P + \frac{1}{2} \rho gh

D. P - \frac{1}{2} \rho gh

Correct Answer: A

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Question 4

A capacitor consists of two parallel plates separated by a dis\tance $d$. The capaci\tance is given by $C = \frac{\epsilon_0 A}{d}$. What is the capaci\tance of a capacitor with plates of area $A$ and separation $d$?

Correct A. \frac{\epsilon_0 A}{d}

B. \frac{\epsilon_0 d}{A}

C. \frac{A}{\epsilon_0 d}

D. \frac{d}{\epsilon_0 A}

Correct Answer: A

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Question 5

A gas is contained in a cylinder of volume $V$ at a temperature $T$. The gas is heated to a temperature $T + \Delta T$. What is the new volume of the gas in terms of $V$, $T$, and $\Delta T$?

A. V + \frac{\Delta T}{T} V

Correct B. V + \frac{V \Delta T}{T}

C. V + \frac{V T \Delta T}{T^2}

D. V + \frac{V T^2 \Delta T}{T^2}

Correct Answer: B

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Question 6

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

Correct A. The gas expands to fill the container.

B. The gas contracts to occupy less space.

C. The gas remains at cons\tant pressure.

D. The gas undergoes a phase transition.

Correct Answer: A

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Question 7

A magnetic field is produced by a current-carrying wire. Which of the following statements is true about the magnetic field?

A. The magnetic field is strongest near the wire.

B. The magnetic field is weakest near the wire.

Correct C. The magnetic field is perp\endicular to the wire.

D. The magnetic field is parallel to the wire.

Correct Answer: C

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Question 8

A block of wood is placed on a horizontal surface. A force is applied to the block, cau\sing it to accelerate. Which of the following statements is true about the block?

A. The block has a cons\tant velocity.

Correct B. The block has a cons\tant acceleration.

C. The block has a cons\tant force.

D. The block has a cons\tant mass.

Correct Answer: B

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Question 9

A circuit consists of a battery, a resistor, and a switch. The switch is closed, cau\sing the circuit to be complete. Which of the following statements is true about the circuit?

A. The circuit is in a state of equilibrium.

Correct B. The circuit is in a state of non-equilibrium.

C. The circuit is in a state of steady-state.

D. The circuit is in a state of transient.

Correct Answer: B

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Question 10

A spring is stretched by a force. The force is then removed, and the spring is allowed to oscillate. Which of the following statements is true about the spring?

A. The spring has a cons\tant velocity.

Correct B. The spring has a cons\tant acceleration.

C. The spring has a cons\tant force.

D. The spring has a cons\tant mass.

Correct Answer: B

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Question 11

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 force?

A. 10 N

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

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Question 12

A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 13

A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, what is the new volume?

A. 2 L

Correct B. 4 L

C. 6 L

D. 8 L

Correct Answer: B

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Question 14

A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its new velocity?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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Question 15

A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the lens is used to form an image on a screen, what is the dis\tance between the lens and the screen?

A. 1.5 m

B. 2 m

Correct C. 2.5 m

D. 3 m

Correct Answer: C

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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 force of 12 N, what is the angle between the force and the radius vector at the ins\tant when the particle is at the top of its path?

Correct A. 90°

B. 45°

C. 60°

D. 30°

Correct Answer: A

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Question 17

A gas at a pressure of 2 atm and temperature of 300 K is heated to a temperature of 400 K. If the volume of the gas is doubled, what is the final pressure of the gas?

A. 1 atm

B. 2 atm

Correct C. 4 atm

D. 8 atm

Correct Answer: C

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Question 18

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

A. 2 m/s²

B. 4 m/s²

C. 6 m/s²

Correct D. 8 m/s²

Correct Answer: D

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Question 19

A spring with a spring cons\tant of 100 N/m is stretched by 2 m. If a 5 kg mass is attached to the spring, what is the frequency of oscillation?

A. 0.5 Hz

B. 1 Hz

Correct C. 2 Hz

D. 5 Hz

Correct Answer: C

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Question 20

A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 24 N, what is the angle between the force and the radius vector at the ins\tant when the particle is at the bottom of its path?

Correct A. 90°

B. 45°

C. 60°

D. 30°

Correct Answer: A

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Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge on the plates when the potential difference between them is 100 V?

Correct A. 0.25 C

B. 0.5 C

C. 1 C

D. 2 C

Correct Answer: A

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Question 22

A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. What is the magnitude of the force acting on the particle?

A. 0.2 N

Correct B. 0.4 N

C. 0.6 N

D. 0.8 N

Correct Answer: B

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Question 23

A simple harmonic motion has a maximum displacement of 0.05 m and a period of 0.2 s. What is the angular frequency of the motion?

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 24

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

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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Question 25

A capacitor has a capaci\tance of 2 x 10^-6 F and is charged to a potential difference of 100 V. What is the energy stored in the capacitor?

A. 0.02 J

Correct B. 0.04 J

C. 0.06 J

D. 0.08 J

Correct Answer: B

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