Practice Post UTME UNILORIN physics 2024 Past Questions

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. 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 5 V is applied across the capacitor, what is the magnitude of the electric field between the plates?

A. 1000 V/m

Correct B. 2000 V/m

C. 3000 V/m

D. 4000 V/m

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?

A. 0.4 A

B. 0.5 A

Correct C. 0.6 A

D. 0.7 A

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

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 force of 9 N, what is the magnitude of the acceleration of the particle?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 3 m/s^2

D. 4 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

A 50 Hz, 200 V AC supply is connected across a series RLC circuit with R = 10 Ω, L = 0.2 H, and C = 10 μF. Calculate the impedance of the circuit.

A. 20 Ω

Correct B. 22 Ω

C. 25 Ω

D. 30 Ω

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Calculate 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

A sound wave with frequency 200 Hz and amplitude 0.5 mm is traveling through a medium with speed 340 m/s. Calculate the wavelength of the sound wave.

A. 1.7 m

Correct B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A block of mass 2 kg is placed on a frictionless surface and connected to a spring with spring cons\tant 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate 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

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A ray of light is incident on a glass slab at an angle of 60°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.

A. 30°

Correct B. 40°

C. 50°

D. 60°

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the expectation value of the position operator for this state?

A. 0

Correct B. \frac{L}{2}

C. L

D. \frac{L}{4}

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. The circuit is connected to a switch that is initially open. At $t = 0$, the switch is closed. What is the current in the circuit at $t = 5$ s?

A. 0 A

B. 1 A

Correct C. 2 A

D. 3 A

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. The plates are then disconnected and the dis\tance between them is doubled. What is the new capaci\tance?

Correct A. 5 μF

B. 10 μF

C. 20 μF

D. 40 μF

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A \sinusoidal voltage source has a peak voltage of 20 V and a frequency of 50 Hz. What is the rms voltage?

A. 10 V

Correct B. 14 V

C. 20 V

D. 28 V

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 10 μF capacitor. The circuit is connected to a switch that is initially open. At $t = 0$, the switch is closed. What is the current in the circuit at $t = 5$ s?

A. 0 A

B. 1 A

Correct C. 2 A

D. 3 A

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

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 magnitude of the acceleration of the particle?

A. 6 m/s^2

B. 8 m/s^2

Correct C. 10 m/s^2

D. 12 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?

A. 2.5 atm

Correct B. 3 atm

C. 3.5 atm

D. 4 atm

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?

A. 1.5 A

Correct B. 2 A

C. 2.5 A

D. 3 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

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. 12.5 Bq

Correct B. 25 Bq

C. 37.5 Bq

D. 50 Bq

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?

A. 500 m/s

Correct B. 1000 m/s

C. 1500 m/s

D. 2000 m/s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

A parallel plate capacitor with plates of area 0.04 m^2 and separation 0.02 m is charged to a potential difference of 10 V. If a dielectric slab of thickness 0.01 m and dielectric cons\tant 4 is inserted between the plates, what is the new capaci\tance?

A. 0.02 F

B. 0.03 F

Correct C. 0.04 F

D. 0.05 F

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

A simple harmonic motion has a maximum acceleration of 10 m/s^2 and a period of 2 s. What is the amplitude of the motion?

A. 0.5 m

B. 1 m

Correct C. 1.5 m

D. 2 m

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

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. 20°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

A block of mass 2 kg is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed of the block?

A. 0.5 m/s

B. 1 m/s

Correct C. 1.5 m/s

D. 2 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

POST UTME UNILORIN 2024 Physics | Objective

Master the Exam!

Help others prepare! Share this practice hub: