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POST UTME MOUNTAIN TOP UNIVERSITY 2020 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. What is the magnitude of the centripetal acceleration?

Correct A. 16/3 m/s^2

B. 32/3 m/s^2

C. 64/3 m/s^2

D. 128/3 m/s^2

Correct Answer: A

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Question 2 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored?

Correct A. 200 μC

B. 2000 μC

C. 20000 μC

D. 200000 μC

Correct Answer: A

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Question 3 View Details

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?

Correct A. 19.47°

B. 20.69°

C. 21.79°

D. 22.62°

Correct Answer: A

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Question 4 View Details

A circuit consists of a 20 Ω resistor, a 10 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 5 Ω resistor?

A. 0.34 A

Correct B. 0.35 A

C. 0.36 A

D. 0.37 A

Correct Answer: B

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Question 5 View Details

A light ray is incident on a glass slab of thickness 5 cm and re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of emergence?

Correct A. 19.47°

B. 20.69°

C. 21.79°

D. 22.62°

Correct Answer: A

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Question 6 View Details

A gas is enclosed in a cylinder with a movable piston. The gas is heated, cau\sing its pressure to increase. If the piston is allowed to move freely, what will happen to the volume of the gas?

A. The volume of the gas will decrease.

Correct B. The volume of the gas will increase.

C. The volume of the gas will remain cons\tant.

D. The volume of the gas will increase and then decrease.

Correct Answer: B

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Question 7 View Details

A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, what is the centripetal 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 8 View Details

A block of mass 5 kg is placed on a horizontal, frictionless surface. A horizontal force of 10 N is applied to the block, cau\sing it to accelerate. What is the acceleration of the block?

A. 0.5 m/s^2

B. 1 m/s^2

C. 2 m/s^2

Correct D. 5 m/s^2

Correct Answer: D

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Question 9 View Details

A \tank contains 1000 kg of water. If the temperature of the water is increased by 10°C, what is the change in volume of the water?

A. 0.1 m^3

Correct B. 0.2 m^3

C. 0.3 m^3

D. 0.4 m^3

Correct Answer: B

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Question 10 View Details

A radioactive sample has a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?

A. 10 Bq

B. 20 Bq

C. 30 Bq

Correct D. 40 Bq

Correct Answer: D

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Question 11 View Details

A particle of mass m is moving in a circular orbit of radius r under the influence of a central force F. If the particle's speed is doubled, what is the new radius of the orbit?

Correct A. r/2

B. r

C. 2r

D. 4r

Correct Answer: A

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Question 12 View Details

A light ray passes through a prism of angle A and is re\fracted at an angle θ. If the angle of incidence is i, what is the angle of re\fraction?

A. \sin A \cos \theta

B. \sin A \cos \theta - \sin \theta \cos A

Correct C. \sin A \cos \theta - \sin \theta \sqrt{1 - \sin^2 A}

D. \sin A \cos \theta + \sin \theta \cos A

Correct Answer: C

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Question 13 View Details

A capacitor of capaci\tance C is connected to a battery of voltage V. If the capacitor is disconnected from the battery and a dielectric of cons\tant k is inserted between the plates, what is the new capaci\tance?

A. C/k

Correct B. kC

C. C + k

D. C - k

Correct Answer: B

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Question 14 View Details

A particle of mass m is in a one-dimensional potential well of depth V0. If the particle's energy is E, what is the probability of finding the particle in the region x > 0?

Correct A. 1/2

B. 1/4

C. 1/3

D. 1/6

Correct Answer: A

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Question 15 View Details

A simple harmonic oscillator of frequency ω is driven by a force F0 \cos ωt. If the oscillator's amplitude is A, what is the ratio of the oscillator's energy to its maximum energy?

Correct A. 1/2

B. 1/4

C. 1/3

D. 1/6

Correct Answer: A

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Question 16 View Details

A block of mass 2.5 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block?

A. 1.0 m/s

B. 1.4 m/s

Correct C. 2.0 m/s

D. 2.5 m/s

Correct Answer: C

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Question 17 View Details

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If a potential difference of 10 V is applied across the plates, what is the capaci\tance?

A. 0.01 F

Correct B. 0.02 F

C. 0.04 F

D. 0.08 F

Correct Answer: B

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Question 18 View Details

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 12.5 Bq

Correct B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: B

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Question 19 View Details

A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current through the 5 Ω resistor?

A. 0.5 A

B. 1.0 A

Correct C. 1.5 A

D. 2.0 A

Correct Answer: C

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Question 20 View Details

A magnetic field of 0.5 T is applied to a coil of 100 turns and area 0.01 m^2. If the coil is rotated by 90°, what is the induced emf?

A. 0.01 V

B. 0.02 V

Correct C. 0.05 V

D. 0.1 V

Correct Answer: C

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Question 21 View Details

A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?

A. 0.2 C

Correct B. 0.4 C

C. 0.6 C

D. 0.8 C

Correct Answer: B

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Question 22 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. 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 23 View Details

A radioactive sample decays from 100 g to 50 g in 5 years. What is the half-life of the sample?

A. 2 years

B. 3 years

Correct C. 5 years

D. 10 years

Correct Answer: C

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Question 24 View Details

A lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm from the lens. What is the magnification of the lens?

Correct A. 1/2

B. 1/3

C. 2/3

D. 3/4

Correct Answer: A

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Question 25 View Details

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?

A. 0.25

B. 0.30

Correct C. 0.35

D. 0.40

Correct Answer: C

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