POST UTME BSU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of magnitude 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.2 m. If the loop has a resis\tance of 10 Ω, what is the induced emf?
A. 0.1 V
B. 0.2 V
C. 0.3 V
D. 0.4 V
Question 2
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 3
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 4
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, what is the magnitude of the centripetal acceleration?
A. 6 m/s^2
B. 12 m/s^2
C. 18 m/s^2
D. 24 m/s^2
Question 5
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 20 N/m. If 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
C. 6 m/s
D. 8 m/s
Question 6
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the potential difference across the 20 Ω resistor?
A. 4 V
B. 6 V
C. 8 V
D. 10 V
Question 7
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 8
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 9
A capacitor of capaci\tance 10 μF is connected in parallel with a capacitor of capaci\tance 20 μF. If a 12 V battery is connected across the circuit, what is the charge on the 10 μF capacitor?
A. 0.12 C
B. 0.24 C
C. 0.36 C
D. 0.48 C
Question 10
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
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 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 12
A capacitor of capaci\tance 10 μF is connected in parallel with a capacitor of capaci\tance 20 μF. If a 12 V battery is connected across the circuit, what is the potential difference across the 20 μF capacitor?
A. 6 V
B. 8 V
C. 10 V
D. 12 V
Question 13
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 14
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 15
A uniform solid sphere of radius $R$ and mass $M$ is placed at the origin of a coordinate system. A point charge $q$ is placed at a dis\tance $r$ from the origin, where $r > R$. What is the magnitude of the electric field at the point charge $q$?
A. \( \frac{kq}{r^2} \left\( 1 - \frac{3R^2}{2r^2} + \frac{R^4}{2r^4} \right \)
B. \( \frac{kq}{r^2} \left\( 1 + \frac{3R^2}{2r^2} + \frac{R^4}{2r^4} \right \)
C. \( \frac{kq}{r^2} \left\( 1 - \frac{R^2}{2r^2} + \frac{R^4}{2r^4} \right \)
D. \( \frac{kq}{r^2} \left\( 1 + \frac{R^2}{2r^2} + \frac{R^4}{2r^4} \right \)

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