POST UTME BSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 3
A block of mass $M$ is placed on a frictionless surface and connected to a spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. What is the maximum speed of the block?
A. \( \sqrt{\frac{kx^2}{m}} \)
B. \( \sqrt{\frac{mx^2}{k}} \)
C. \( \sqrt{\frac{kx}{m}} \)
D. \( \sqrt{\frac{mx}{k}} \)
Question 4
A beam of light is incident on a glass slab at an angle of 60°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 45°
C. 60°
D. 75°
Question 5
A 2 kg block is attached to a horizontal, massless spring with a spring cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. Calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 6
A magnetic field of magnitude 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m. What is the torque on the loop?
A. 0.1 Nm
B. 0.2 Nm
C. 0.3 Nm
D. 0.4 Nm
Question 7
A heat engine operates between the temperatures 300 K and 600 K. If it has an efficiency of 30%, what is the maximum possible work output?
A. 1000 J
B. 2000 J
C. 3000 J
D. 4000 J
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If a dielectric slab of thickness 2 mm and dielectric cons\tant 4 is inserted between the plates, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 10 μF
D. 20 μF
Question 9
A particle is moving in a straight line with an initial velocity of 10 m/s. If the particle is subjected to a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 5 seconds?
A. 12 m/s
B. 14 m/s
C. 16 m/s
D. 18 m/s
Question 10
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. If the pressure is increased to 2 atm and the temperature is decreased to 200 K, what is the new volume of the gas?
A. 1 L
B. 2 L
C. 3 L
D. 4 L
Question 11
A spring has a spring cons\tant of 100 N/m. If a 5 kg mass is attached to the spring and stretched by 2 m, what is the potential energy stored in the spring?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 12
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. 25 Bq
B. 50 Bq
C. 75 Bq
D. 100 Bq
Question 13
A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling at a speed of 100 m/s, what is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. What is the magnitude of the centripetal force acting on the particle?
A. \( \frac{mv^2}{r} \)
B. \( \frac{mv^2}{2r} \)
C. \( \frac{mv^2}{3r} \)
D. \( \frac{mv^2}{4r} \)
Question 15
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2

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