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POST UTME CHRISTOPHER UNIVERSITY 2017 Physics | Objective

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Question 1 View Details

A point charge of +2 μC is placed at the origin of a coordinate system. What is the electric potential at a point 3 m away from the charge, if the electric potential at infinity is taken to be zero?

Correct A. $ 9 \times 10^6 , \text{V} $

B. $ 3 \times 10^6 , \text{V} $

C. $ 1.5 \times 10^6 , \text{V} $

D. $ 6 \times 10^6 , \text{V} $

Correct Answer: A

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Question 2 View Details

A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. What is the magnitude of the force acting on the particle?

A. $ 10 , \text{N} $

Correct B. $ 20 , \text{N} $

C. $ 30 , \text{N} $

D. $ 40 , \text{N} $

Correct Answer: B

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Question 3 View Details

A capacitor consists of two parallel 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 μF. What is the charge on the plates when a potential difference of 5 V is applied across them?

Correct A. $ 5 \times 10^{-5} , \text{C} $

B. $ 10^{-5} , \text{C} $

C. $ 2 \times 10^{-5} , \text{C} $

D. $ 15 \times 10^{-5} , \text{C} $

Correct Answer: A

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Question 4 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?

Correct A. $ 25 , \text{Bq} $

B. $ 50 , \text{Bq} $

C. $ 75 , \text{Bq} $

D. $ 100 , \text{Bq} $

Correct Answer: A

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Question 5 View Details

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 , \text{m/s}^2 $

B. $ 5 , \text{m/s}^2 $

Correct C. $ 10 , \text{m/s}^2 $

D. $ 20 , \text{m/s}^2 $

Correct Answer: C

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Question 6 View Details

A light ray passes from air into a glass slab of thickness 6 cm and 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 7 View Details

A 100 Ω resistor is connected in series with a 200 Ω resistor and a 50 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 50 Ω resistor?

A. 0.2 A

B. 0.4 A

Correct C. 0.6 A

D. 0.8 A

Correct Answer: C

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Question 8 View Details

A 100 g block of ice at 0°C is heated to 80°C. If the specific heat capacity of ice is 2.1 J/g°C, calculate the energy required to heat the ice.

A. 840 J

B. 8400 J

Correct C. 84000 J

D. 840000 J

Correct Answer: C

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Question 9 View Details

A point charge of +2 μC is placed at the origin. What is the electric potential at a point 2 m away from the charge?

A. 400 V

B. 800 V

Correct C. 1200 V

D. 1600 V

Correct Answer: C

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Question 10 View Details

A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 100 Ω. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?

A. 1 ms

B. 10 ms

Correct C. 100 ms

D. 1000 ms

Correct Answer: C

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Question 11 View Details

A parallel plate capacitor has plates of area $A$ and separation $d$. If the capaci\tance is $C$, what is the value of the dielectric cons\tant $K$?

A. 1

B. 2

Correct C. 3

D. 4

Correct Answer: C

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Question 12 View Details

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

Correct A. 10^\circ

B. 20^\circ

C. 30^\circ

D. 40^\circ

Correct Answer: A

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Question 13 View Details

A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?

A. 300 m/s

B. 400 m/s

Correct C. 500 m/s

D. 600 m/s

Correct Answer: C

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Question 14 View Details

A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is 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 15 View Details

A capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. What is the energy stored in the capacitor?

A. 0.12 J

Correct B. 0.24 J

C. 0.36 J

D. 0.48 J

Correct Answer: B

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Question 16 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?

A. 20°

Correct B. 25°

C. 30°

D. 35°

Correct Answer: B

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Question 17 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. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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Question 18 View Details

A block of mass 5 kg is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. What is the acceleration of the block?

A. 2 m/s²

Correct B. 4 m/s²

C. 6 m/s²

D. 8 m/s²

Correct Answer: B

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Question 19 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 20 View Details

A string is stretched between two fixed points 1.5 m apart. A 50 Hz wave is produced on the string. What is the tension in the string?

A. 50 N

B. 100 N

Correct C. 150 N

D. 200 N

Correct Answer: C

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Question 21 View Details

A particle of mass 2 kg is attached to a spring with spring cons\tant 10 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the time taken for the particle to reach its maximum speed.

A. 0.25 s

Correct B. 0.5 s

C. 1 s

D. 1.5 s

Correct Answer: B

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Question 22 View Details

A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. A parallel beam of light is incident on the combination. Calculate the nature and position of the image formed.

A. Real and inverted

Correct B. Virtual and erect

C. Real and erect

D. Virtual and inverted

Correct Answer: B

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Question 23 View Details

A 10 μF capacitor is charged to a potential difference of 100 V. Calculate the energy stored in the capacitor.

Correct A. 0.5 J

B. 1 J

C. 2 J

D. 5 J

Correct Answer: A

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Question 24 View Details

A body of mass 5 kg is moving with a velocity of 10 m/s. It is acted upon by a force of 20 N. Calculate the acceleration of the body.

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 View Details

A convex mirror has a focal length of -20 cm. A point object is placed 30 cm in front of the mirror. Calculate the position and magnification of the image formed.

A. Real and inverted

Correct B. Virtual and erect

C. Real and erect

D. Virtual and inverted

Correct Answer: B

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