Practice Post UTME SUMMIT UNIVERSITY physics 2017 Past Questions

Question 1

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

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 2

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new potential difference?

A. 10 V

B. 20 V

Correct C. 40 V

D. 80 V

Correct Answer: C

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Question 3

A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, what is the final volume?

A. 2 L

Correct B. 4 L

C. 6 L

D. 8 L

Correct Answer: B

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Question 4

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 A

Correct C. 2 A

D. 4 A

Correct Answer: C

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Question 5

A thermodynamic system undergoes a process from state A to state B. If the internal energy of the system increases by 100 J and the work done on the system is 50 J, what is the heat transferred to the system?

A. 50 J

Correct B. 100 J

C. 150 J

D. 200 J

Correct Answer: B

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Question 6

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates?

Correct A. 1.6 x 10^-11 C

B. 3.2 x 10^-11 C

C. 4.8 x 10^-11 C

D. 6.4 x 10^-11 C

Correct Answer: A

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Question 7

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, what is the angle of deviation?

A. 10°

Correct B. 20°

C. 30°

D. 40°

Correct Answer: B

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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 parallel. What is the total resis\tance of the circuit?

A. 2 Ω

B. 3 Ω

Correct C. 4 Ω

D. 6 Ω

Correct Answer: C

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Question 9

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

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 10

A photon has an energy of 2.5 eV. What is its momentum?

A. 1.6 x 10^-24 kg m/s

Correct B. 3.2 x 10^-24 kg m/s

C. 4.8 x 10^-24 kg m/s

D. 6.4 x 10^-24 kg m/s

Correct Answer: B

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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 angle between the velocity vector and the radius vector at the ins\tant when the particle is at the top of its circular path?

Correct A. π/2

B. π/4

C. 3π/4

D. 5π/4

Correct Answer: A

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Question 12

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 13

A simple harmonic motion has a time period of 2 s and an amplitude of 5 m. If the particle is at the extreme position at t = 0, what is the equation of motion?

Correct A. ( x(t) = 5 \sin left\( \frac{πt}{1} \right \) )

B. ( x(t) = 5 \cos left\( \frac{πt}{1} \right \) )

C. ( x(t) = 5 \sin left\( \frac{πt}{2} \right \) )

D. ( x(t) = 5 \cos left\( \frac{πt}{2} \right \) )

Correct Answer: A

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Question 14

A wave has a frequency of 100 Hz and a wavelength of 0.1 m. If the wave is traveling in the positive x-direction, what is the speed of the wave?

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

Correct Answer: B

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Question 15

A block of mass 10 kg is placed on a frictionless surface and is connected to a spring of spring cons\tant 100 N/m. If the block is displaced by 0.5 m from its equilibrium position and released, what is the maximum speed of the block?

A. 1 m/s

Correct B. 2 m/s

C. 3 m/s

D. 4 m/s

Correct Answer: B

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Question 16

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, calculate the charge stored on the capacitor.

A. 1.25 \times 10^{-8} C

Correct B. 2.5 \times 10^{-8} C

C. 5.0 \times 10^{-8} C

D. 1.0 \times 10^{-7} C

Correct Answer: B

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Question 17

A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, calculate the activity after 20 years.

Correct A. 250 Bq

B. 500 Bq

C. 750 Bq

D. 1000 Bq

Correct Answer: A

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Question 18

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, calculate the angle of deviation.

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 19

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, 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

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Question 20

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. The capaci\tance is 2.5 nF. If a potential difference of 10 V is applied across the plates, calculate the energy stored in the capacitor.

A. 1.25 \times 10^{-7} J

Correct B. 2.5 \times 10^{-7} J

C. 5.0 \times 10^{-7} J

D. 1.0 \times 10^{-6} J

Correct Answer: B

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Question 21

A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, calculate the time required for the activity to decrease to 500 Bq.

A. 5 years

Correct B. 10 years

C. 15 years

D. 20 years

Correct Answer: B

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Question 22

A beam of light passes through a prism and is re\fracted. If the angle of incidence is 30° and the angle of re\fraction is 20°, calculate the angle of deviation.

A. 10°

B. 20°

Correct C. 30°

D. 40°

Correct Answer: C

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Question 23

A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, calculate the maximum speed of the block.

A. 1.0 m/s

B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: VIEW ANSWER

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Question 24

A uniform magnetic field of strength 2.0 T is directed along the z-axis. A current-carrying wire of length 0.5 m is placed in the x-y plane, making an angle of 30° with the x-axis. If the current in the wire is 5.0 A, what is the magnitude of the magnetic force experienced by the wire?

A. 0.25 N

Correct B. 0.50 N

C. 0.75 N

D. 1.00 N

Correct Answer: B

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Question 25

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are then separated by a dis\tance of 5 mm, what is the new capaci\tance?

Correct A. 5.00 μF

B. 10.0 μF

C. 20.0 μF

D. 50.0 μF

Correct Answer: A

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