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POST UTME CALEB UNIVERSITY 2024 Physics | Objective

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Question 1 View Details

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 angular velocity of the particle?

Correct A. \( \frac{1}{2} \) rad/s

B. \( \frac{1}{4} \) rad/s

C. \( \frac{1}{3} \) rad/s

D. \( \frac{1}{6} \) rad/s

Correct Answer: A

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Question 2 View Details

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 3 View Details

A car is moving along a straight road with a cons\tant acceleration of 2 m/s². If the initial velocity is 10 m/s, what is the velocity of the car after 5 seconds?

A. 15 m/s

B. 20 m/s

Correct C. 25 m/s

D. 30 m/s

Correct Answer: C

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Question 4 View Details

A simple p\endulum of length 1 m is released from an initial angle of 30°. If the p\endulum is released from rest, what is the time period of the p\endulum?

A. 2 s

Correct B. 3 s

C. 4 s

D. 5 s

Correct Answer: B

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Question 5 View Details

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 6 N, what is the angular velocity of the particle?

Correct A. \( \frac{1}{2} \) rad/s

B. \( \frac{1}{4} \) rad/s

C. \( \frac{1}{3} \) rad/s

D. \( \frac{1}{6} \) rad/s

Correct Answer: A

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Question 6 View Details

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, 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

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Question 7 View Details

A 2 μF capacitor is connected in series with a 3 μF capacitor and a 4 μF capacitor. What is the equivalent capaci\tance of the circuit?

A. 1 μF

Correct B. 2 μF

C. 3 μF

D. 4 μF

Correct Answer: B

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Question 8 View Details

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

B. 3 atm

Correct C. 3.5 atm

D. 4 atm

Correct Answer: C

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Question 9 View Details

A 10 μC charge is placed at the center of a circular loop of radius 5 cm. What is the electric field at a point on the circumference of the loop?

A. 10^4 N/C

B. 10^5 N/C

Correct C. 10^6 N/C

D. 10^7 N/C

Correct Answer: C

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Question 10 View Details

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

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 11 View Details

A gas at 300 K and 1 atm is compressed to 2 atm. Assuming ideal gas behavior, what is the new volume of the gas?

Correct A. 0.5 m^3

B. 1 m^3

C. 2 m^3

D. 4 m^3

Correct Answer: A

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Question 12 View Details

A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm away. What is the magnification of the image?

Correct A. 0.5

B. 1

C. 2

D. 3

Correct Answer: A

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Question 13 View Details

A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 14 View Details

A heat engine operates between 500 K and 300 K. What is the efficiency of the engine?

A. 0.25

Correct B. 0.5

C. 0.75

D. 0.9

Correct Answer: B

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Question 15 View Details

A photon of wavelength 500 nm is incident on a metal surface. What is the energy of the photon?

A. 2.5 eV

Correct B. 5 eV

C. 10 eV

D. 20 eV

Correct Answer: B

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Question 16 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.

A. 2.5 x 10^-10 F

Correct B. 5.0 x 10^-10 F

C. 1.0 x 10^-9 F

D. 2.0 x 10^-9 F

Correct Answer: B

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Question 17 View Details

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, calculate the acceleration.

A. 0.4 m/s^2

Correct B. 0.8 m/s^2

C. 1.2 m/s^2

D. 1.6 m/s^2

Correct Answer: B

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Question 18 View Details

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

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 19 View Details

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. Calculate the total resis\tance.

A. 2 Ω

Correct B. 3 Ω

C. 4 Ω

D. 6 Ω

Correct Answer: B

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Question 20 View Details

A heat engine operates between the temperatures 300 K and 600 K. If it has an efficiency of 30%, calculate the work done.

A. 1000 J

Correct B. 2000 J

C. 3000 J

D. 4000 J

Correct Answer: B

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Question 21 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8 nF, what is the charge on the plates when the potential difference is 12 V?

Correct A. 0.01 C

B. 0.02 C

C. 0.03 C

D. 0.04 C

Correct Answer: A

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Question 22 View Details

A body of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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Question 23 View Details

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

A. 10 m/s

B. 20 m/s

Correct C. 30 m/s

D. 40 m/s

Correct Answer: C

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Question 24 View Details

A 10 V battery is connected to a 2 ohm resistor. What is the current flowing through the resistor?

A. 2 A

Correct B. 4 A

C. 6 A

D. 8 A

Correct Answer: B

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Question 25 View Details

A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.1 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. 1.5 m/s

D. 2 m/s

Correct Answer: C

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