Practice post utme mountain top university physics 2017 Past Questions

Question 1

A uniform magnetic field of magnitude 2.0 T is directed along the z-axis. A current of 5.0 A flows in a circular loop of radius 0.1 m, placed in the x-y plane. What is the magnitude of the magnetic moment of the loop?

A. 0.1 A m^2

B. 0.5 A m^2

Correct C. 1.0 A m^2

D. 5.0 A m^2

Correct Answer: C

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Question 2

A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the force acting on the particle?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 3

A radioactive sample has a half-life of 5.0 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 10 Bq

B. 20 Bq

Correct C. 40 Bq

D. 50 Bq

Correct Answer: C

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Question 4

A heat engine operates between two temperatures of 300 K and 400 K. If the efficiency of the engine is 30%, what is the temperature of the hot reservoir?

A. 350 K

B. 400 K

Correct C. 450 K

D. 500 K

Correct Answer: C

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Question 5

A simple harmonic motion has a frequency of 2.0 Hz and an amplitude of 3.0 m. What is the maximum acceleration of the particle?

A. 6.0 m/s^2

B. 12 m/s^2

C. 18 m/s^2

Correct D. 24 m/s^2

Correct Answer: D

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Question 6

A radioactive sample of Uranium-238 undergoes \alpha decay, emitting an \alpha particle. If the mass number of the daughter nucleus is 234, what is the mass number of the \alpha particle?

A. 4

B. 6

Correct C. 8

D. 10

Correct Answer: C

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Question 7

A beam 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. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

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Question 8

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?

A. 8 Ω

B. 10 Ω

Correct C. 12 Ω

D. 16 Ω

Correct Answer: C

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Question 9

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. 10 N

B. 12 N

Correct C. 15 N

D. 20 N

Correct Answer: C

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Question 10

A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?

Correct A. 1.25 eV

B. 2.5 eV

C. 3.75 eV

D. 5 eV

Correct Answer: A

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Question 11

A parallel plate capacitor has plates of area 0.1 m^2 and separation 0.01 m. If the dielectric cons\tant of the material between the plates is 3, what is the capaci\tance?

A. 10^-9 F

B. 10^-8 F

Correct C. 10^-7 F

D. 10^-6 F

Correct Answer: C

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Question 12

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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Question 13

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. 5000 m/s

C. 50000 m/s

D. 500000 m/s

Correct Answer: B

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Question 14

A lens has a focal length of 20 cm. If an object is placed 30 cm from the lens, what is the image dis\tance?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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Question 15

A capacitor has a capaci\tance of 10^-6 F. If a voltage of 10 V is applied across it, what is the charge stored?

Correct A. 10^-5 C

B. 10^-4 C

C. 10^-3 C

D. 10^-2 C

Correct Answer: A

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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

Correct B. 12 m/s^2

C. 18 m/s^2

D. 24 m/s^2

Correct Answer: B

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Question 17

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?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 18

A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 5 T. If the particle is moving with a speed of 10 m/s, what is the magnitude of the force acting on the particle?

A. 10 N

Correct B. 20 N

C. 30 N

D. 40 N

Correct Answer: B

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Question 19

A body of mass 5 kg is moving with a speed of 20 m/s. If the body is subjected to a force of 50 N, what is the acceleration of the body?

A. 2 m/s^2

B. 4 m/s^2

C. 6 m/s^2

Correct D. 8 m/s^2

Correct Answer: D

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Question 20

A light source is placed 2 m away from a convex lens of focal length 1 m. If the light source is moved 1 m closer to the lens, what is the new image dis\tance?

A. 1 m

Correct B. 2 m

C. 3 m

D. 4 m

Correct Answer: B

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Question 21

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. 10 m/s^2

Correct B. 12 m/s^2

C. 15 m/s^2

D. 20 m/s^2

Correct Answer: B

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Question 22

A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. What is the current flowing through the circuit?

A. 0.25 A

Correct B. 0.5 A

C. 1 A

D. 2 A

Correct Answer: B

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Question 23

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

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 24

A 2 kg object is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. If the object is subjected to a centripetal force of 8 N, what is the magnitude of the acceleration of the object?

A. 6 m/s^2

Correct B. 8 m/s^2

C. 10 m/s^2

D. 12 m/s^2

Correct Answer: B

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Question 25

A 5 μF capacitor is connected in parallel with a 10 μF capacitor and a 20 V battery. What is the total capaci\tance of the circuit?

A. 10 μF

B. 15 μF

Correct C. 20 μF

D. 25 μF

Correct Answer: C

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