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POST UTME CALEB UNIVERSITY 2018 Physics | Objective

Are you preparing for POST UTME CALEB UNIVERSITY exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 Physics (Objective) questions designed to simulate the real exam environment.

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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 force acting on the particle?

A. 8 N

B. 12 N

Correct C. 16 N

D. 20 N

Correct Answer: C

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Question 2

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

A. 18°

B. 20°

Correct C. 22°

D. 25°

Correct Answer: C

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Question 3

A gas is heated from 20°C to 80°C. If the initial volume is 2 L and the final volume is 4 L, what is the final pressure?

A. 10 kPa

B. 20 kPa

Correct C. 30 kPa

D. 40 kPa

Correct Answer: C

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Question 4

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. What is the magnitude of the force acting on the particle?

A. 6 N

B. 8 N

Correct C. 10 N

D. 12 N

Correct Answer: C

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Question 5

A light ray passes from a glass block into air. If the angle of incidence is 40° and the re\fractive index of the glass block is 1.5, what is the angle of re\fraction?

A. 25°

B. 28°

Correct C. 30°

D. 32°

Correct Answer: C

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Question 6

A radioactive sample of Δ₂₂ emits Δ₂₂⁴ particles with a half-life of 5.3 years. If the initial activity is 100 Bq, what is the activity after 15.9 years?

Correct A. 1.25 Bq

B. 12.5 Bq

C. 125 Bq

D. 1.25 x 10^3 Bq

Correct Answer: A

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Question 7

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. What is the speed of the block when it passes through the equilibrium position?

A. 0.50 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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Question 8

A sound wave with a frequency of 200 Hz and an amplitude of 0.50 mm is traveling through air at a speed of 343 m/s. What is the wavelength of the sound wave?

Correct A. 1.7 mm

B. 1.7 cm

C. 1.7 m

D. 1.7 km

Correct Answer: A

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Question 9

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. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

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Question 10

A 5.0 kg block is moving in a circular path with a radius of 2.0 m. If the block has a speed of 4.0 m/s, what is the centripetal force acting on the block?

A. 20 N

B. 40 N

Correct C. 60 N

D. 80 N

Correct Answer: C

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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 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

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Question 12

A radioactive sample has a half-life of 5 years. If the initial activity of the sample is 1000 Bq, what is the activity of the sample after 10 years?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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Question 13

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the initial vertical component of the velocity?

A. 5 m/s

Correct B. 10 m/s

C. 15 m/s

D. 20 m/s

Correct Answer: B

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Question 14

A lens of focal length 10 cm is used to form an image of an object placed 20 cm away from the lens. If the object is moved 5 cm closer to the lens, what is the new image dis\tance?

A. 15 cm

B. 20 cm

Correct C. 25 cm

D. 30 cm

Correct Answer: C

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Question 15

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 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

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Question 16

A uniform magnetic field of strength 0.5 T is applied to a coil of wire with 50 turns and a radius of 0.02 m. If the coil is rotated through an angle of 90° in 0.1 s, calculate the induced emf in the coil.

A. 0.5 V

Correct B. 1.25 V

C. 2.5 V

D. 5 V

Correct Answer: B

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Question 17

A gas at 300 K expands from 0.05 m³ to 0.1 m³ against a cons\tant external pressure of 101325 Pa. Calculate the work done by the gas.

Correct A. -500 J

B. -1000 J

C. -1500 J

D. -2000 J

Correct Answer: A

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Question 18

A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If a dielectric slab of thickness 0.5 mm and dielectric cons\tant 3 is inserted between the plates, calculate the new capaci\tance.

A. 2.5 μF

Correct B. 3.5 μF

C. 4.5 μF

D. 5.5 μF

Correct Answer: B

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Question 19

A ray of light 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 20

A beam of light is incident on a convex lens of focal length 10 cm. If the object dis\tance is 20 cm, calculate the image dis\tance.

A. 10 cm

B. 20 cm

Correct C. 30 cm

D. 40 cm

Correct Answer: C

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Question 21

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 0.2 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, determine the maximum speed of the block as it passes through the equilibrium position.

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 22

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 10 V is applied across the plates, determine the charge stored on each plate.

Correct A. 0.1 C

B. 0.2 C

C. 0.3 C

D. 0.4 C

Correct Answer: A

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Question 23

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 30 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, determine the current flowing through the 20 Ω resistor.

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

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Question 24

A particle of mass 2 kg is moving in a circular path of radius 0.5 m with a cons\tant speed of 2 m/s. Determine the magnitude of the centripetal acceleration of the particle.

A. 2 m/s^2

Correct B. 4 m/s^2

C. 6 m/s^2

D. 8 m/s^2

Correct Answer: B

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Question 25

A 10 μF capacitor is connected in series with a 20 Ω resistor. If a voltage of 10 V is applied across the circuit, determine the time cons\tant of the circuit.

A. 0.2 s

Correct B. 0.4 s

C. 0.6 s

D. 0.8 s

Correct Answer: B

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