POST UTME BSU 2017 Physics | Objective

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Question 1 View Details
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3.2, calculate the capaci\tance.
A. 1.6 x 10^-10 F
Correct B. 3.2 x 10^-10 F
C. 4.8 x 10^-10 F
D. 6.4 x 10^-10 F

Correct Answer: B

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Question 2 View Details
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. Calculate the centripetal force acting on the particle.
A. 0.2 N
B. 0.4 N
Correct C. 0.6 N
D. 0.8 N

Correct Answer: C

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Question 3 View Details
A ray of light passes from air into a glass slab 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 4 View Details
A radioactive sample has an initial activity of 100 Bq. After 5 half-lives, the activity is measured to be 3.125 Bq. Calculate the decay cons\tant.
A. 0.1 s^-1
B. 0.2 s^-1
Correct C. 0.3 s^-1
D. 0.4 s^-1

Correct Answer: C

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Question 5 View Details
A s\tanding wave is formed on a string of length 1 m with a frequency of 50 Hz. If the string is fixed at both \ends, calculate the wavelength of the wave.
A. 0.04 m
Correct B. 0.08 m
C. 0.12 m
D. 0.16 m

Correct Answer: B

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Question 6 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. 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 7 View Details
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 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
Correct C. 6 m/s
D. 8 m/s

Correct Answer: C

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Question 8 View Details
A 10 μC point charge is placed at the center of a circular loop of radius 0.5 m. The loop has a resis\tance of 5 Ω and an induc\tance of 0.2 H. What is the magnitude of the current in the loop 0.1 s after the charge is placed?
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 9 View Details
A \tank contains 100 L of water at a temperature of 20°C. If 20 L of water at 80°C is added to the \tank, what is the final temperature of the water in the \tank?
A. 22°C
B. 25°C
Correct C. 28°C
D. 30°C

Correct Answer: C

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Question 10 View Details
A 1000 W heater is used to heat a room. If the room has a volume of 100 m^3 and a temperature of 20°C, what is the time it takes to heat the room to 25°C?
A. 10 min
B. 20 min
Correct C. 30 min
D. 40 min

Correct Answer: C

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Question 11 View Details
A radioactive sample of Δₗ emits Δₗα particles with a half-life of 5.27 years. If the initial activity is 100 Bq, what is the activity after 10.54 years?
A. 20 Bq
B. 40 Bq
Correct C. 80 Bq
D. 160 Bq

Correct Answer: C

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Question 12 View Details
A 10 kg block of copper is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, what is the energy transferred to the block?
A. 38.5 J
B. 385 J
Correct C. 3850 J
D. 38500 J

Correct Answer: C

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Question 13 View Details
A 240 V, 50 Hz AC supply is connected to a 100 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 0.5 A
Correct B. 1.0 A
C. 1.5 A
D. 2.0 A

Correct Answer: B

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Question 14 View Details
A convex lens of focal length 20 cm forms an image of an object placed 30 cm away. What is the magnification of the image?
A. -0.5
Correct B. -1.0
C. -1.5
D. -2.0

Correct Answer: B

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Question 15 View Details
A gas at 300 K and 1 atm expands to 2 atm at cons\tant temperature. What is the final volume of the gas?
A. 1.5 L
Correct B. 2.0 L
C. 2.5 L
D. 3.0 L

Correct Answer: B

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Question 16 View Details
A heat engine operates between two reservoirs at temperatures $T_1 = 500, \text{K}$ and $T_2 = 300, \text{K}$. If the engine produces 500 J of work in one cycle, what is its efficiency?
A. 0.25
Correct B. 0.5
C. 0.75
D. 0.9

Correct Answer: B

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Question 17 View Details
A block of mass $m = 5, \text{kg}$ is attached to a horizontal spring with a force cons\tant of $k = 200, \text{N/m}$. If the block is displaced by $x = 0.2, \text{m}$ from its equilibrium position and released from rest, what is its maximum speed?
A. 2.5\,\text{m/s}
Correct B. 5\,\text{m/s}
C. 10\,\text{m/s}
D. 20\,\text{m/s}

Correct Answer: B

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Question 18 View Details
A magnetic field of magnitude $B = 0.5, \text{T}$ is directed perp\endicular to the plane of a circular loop of radius $r = 0.1, \text{m}$. If the loop carries a current of $I = 2, \text{A}$, what is the magnitude of the torque experienced by the loop?
Correct A. 0.01\,\text{N.m}
B. 0.1\,\text{N.m}
C. 1\,\text{N.m}
D. 10\,\text{N.m}

Correct Answer: A

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Question 19 View Details
A ray of light passes from air into a glass slab of thickness $t = 0.5, \text{m}$ and re\fractive index $n = 1.5$. If the angle of incidence is $\theta_i = 30^\circ$, what is the angle of re\fraction?
Correct A. 20^\circ
B. 30^\circ
C. 40^\circ
D. 50^\circ

Correct Answer: A

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Question 20 View Details
A simple p\endulum of length $L = 1, \text{m}$ and mass $m = 0.1, \text{kg}$ is released from rest at an angle $\theta = 30^\circ$ from the vertical. What is its angular frequency?
A. 1.4\,\text{rad/s}
Correct B. 2.8\,\text{rad/s}
C. 5.6\,\text{rad/s}
D. 11.2\,\text{rad/s}

Correct Answer: B

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Question 21 View Details
A solid cylindrical block of wood with a radius of 5 cm and a height of 10 cm is floating in water. If the density of the wood is 0.6 g/cm³, what is the percentage of the volume of the wood that is submerged in water?
A. 20%
B. 30%
Correct C. 40%
D. 50%

Correct Answer: C

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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. If the particle is subject 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?
A. π/2
Correct B. π/3
C. π/4
D. π/6

Correct Answer: B

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Question 23 View Details
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the light bulb is 100 Ω, what is the current flowing through the light bulb?
A. 0.5 A
Correct B. 1 A
C. 2 A
D. 4 A

Correct Answer: B

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Question 24 View Details
A gas at a pressure of 1 atm and a temperature of 300 K is compressed to a pressure of 2 atm and a temperature of 400 K. What is the new volume of the gas?
A. 0.5 L
B. 1 L
Correct C. 2 L
D. 4 L

Correct Answer: C

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Question 25 View Details
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subject to a force of 10 N, what is the acceleration of the particle?
A. 1 m/s²
B. 2 m/s²
Correct C. 5 m/s²
D. 10 m/s²

Correct Answer: C

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