Practice Post UTME AL-HIKMAH UNIVERSITY physics 2018 Past Questions

Question 1

A 2.5 m long wire has a resis\tance of 3.2 Ω. If the wire is stretched to 4 m, what is its new resis\tance?

A. 2.5 Ω

B. 3.2 Ω

C. 4 Ω

Correct D. 6.4 Ω

Correct Answer: D

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

Question 2

A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is its angular momentum?

A. 12 kg m^2/s

B. 24 kg m^2/s

Correct C. 48 kg m^2/s

D. 96 kg m^2/s

Correct Answer: C

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

Question 3

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

A. 0.25 A

B. 0.5 A

C. 1 A

Correct D. 2 A

Correct Answer: D

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

Question 4

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is its speed?

A. 10 m/s

B. 20 m/s

Correct C. 50 m/s

D. 100 m/s

Correct Answer: C

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

Question 5

A 5 kg block is moving down a 30° inclined plane with a speed of 2 m/s. What is its acceleration?

A. 0.5 m/s^2

B. 1 m/s^2

Correct C. 2 m/s^2

D. 5 m/s^2

Correct Answer: C

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

Question 6

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. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.

A. 1.0 m/s

Correct B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: B

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

Question 7

A capacitor consists of two parallel plates, each of area 0.04 m^2, separated by a dis\tance of 0.02 m. The capaci\tance of the capacitor is 5.0 x 10^-10 F. Calculate the charge stored on the capacitor when a potential difference of 10 V is applied across it.

A. 2.0 x 10^-9 C

Correct B. 5.0 x 10^-9 C

C. 8.0 x 10^-9 C

D. 1.0 x 10^-8 C

Correct Answer: B

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

Question 8

A sound wave with a frequency of 200 Hz and a wavelength of 0.50 m is traveling through a medium. Calculate the speed of the sound wave.

A. 100 m/s

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

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

Question 9

A 5.0 kg block is moving with a speed of 2.0 m/s on a horizontal surface. If the block is brought to rest in 2.0 s, calculate the force applied to the block.

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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

Question 10

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. Assuming the block undergoes simple harmonic motion, calculate the period of the block.

A. 1.0 s

Correct B. 2.0 s

C. 3.0 s

D. 4.0 s

Correct Answer: B

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

Question 11

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 µF, calculate the charge stored when the potential difference between the plates is 100 V.

Correct A. 0.32 C

B. 0.64 C

C. 1.28 C

D. 2.56 C

Correct Answer: A

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

Question 12

A radioactive sample decays from 120 g to 90 g in 5 years. Calculate the half-life of the sample.

A. 10 years

Correct B. 15 years

C. 20 years

D. 25 years

Correct Answer: B

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

Question 13

A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.

A. 100 m/s

B. 200 m/s

Correct C. 400 m/s

D. 800 m/s

Correct Answer: C

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

Question 14

A body is in equilibrium under the action of two forces, one of magnitude 5 N and the other of magnitude 10 N. Calculate the angle between the forces.

A. 30°

Correct B. 45°

C. 60°

D. 90°

Correct Answer: B

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

Question 15

A heat engine operates between the temperatures 300 K and 600 K. Calculate the efficiency of the engine.

A. 0.25

Correct B. 0.33

C. 0.5

D. 0.67

Correct Answer: B

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

Question 16

A charged particle moves through a region with a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?

A. Towards the north

B. Towards the south

Correct C. Perp\endicular to the magnetic field

D. In the opposite direction of the magnetic field

Correct Answer: C

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

Question 17

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V battery. What is the time cons\tant of the circuit?

A. 2.4 s

Correct B. 4.8 s

C. 6.0 s

D. 8.0 s

Correct Answer: B

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

Question 18

A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 360 m/s

Correct C. 420 m/s

D. 480 m/s

Correct Answer: C

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

Question 19

A 50 Hz AC voltage is applied across a 20 Ω resistor. What is the peak value of the current?

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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

Question 20

A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 2 m away from the charge?

A. 1.0 V

Correct B. 2.0 V

C. 3.0 V

D. 4.0 V

Correct Answer: B

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

Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the dielectric cons\tant of the material between the plates?

A. 2.5

Correct B. 3.0

C. 3.5

D. 4.0

Correct Answer: B

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

Question 22

A ray of light 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?

A. 20°

B. 25°

Correct C. 30°

D. 35°

Correct Answer: C

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

Question 23

A 2 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, what is the force exerted by the spring on the block?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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

Question 24

A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 10 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 0.5 s

Correct B. 1.0 s

C. 2.0 s

D. 5.0 s

Correct Answer: B

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

Question 25

A 10 μC charge is placed at the center of a circular loop of radius 0.1 m. If the loop has a resis\tance of 10 Ω, what is the current induced in the loop?

A. 0.1 A

B. 0.2 A

Correct C. 0.5 A

D. 1.0 A

Correct Answer: C

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

POST UTME AL-HIKMAH UNIVERSITY 2018 Physics | Objective

Master the Exam!

Help others prepare! Share this practice hub: