POST UTME BSU 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.2 m. If the coil is rotated at a frequency of 50 Hz, what is the induced emf?
A. 10 V
B. 20 V
C. 30 V
D. 40 V
Question 2
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, calculate the potential energy stored in the spring.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 3
A particle of mass m is attached to a spring with spring cons\tant k. The particle is displaced from its equilibrium position by a dis\tance x and released from rest. Assuming the motion is simple harmonic, find the angular frequency ω.
A. \omega = \frac{1}{\sqrt{m}}
B. \omega = \sqrt{\frac{m}{k}}
C. \omega = \frac{k}{m}
D. \omega = \sqrt{\frac{k}{m}}
Question 4
A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. It is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 5
A particle of mass $m$ is moving in a circular path of radius $R$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c$ given by $F_c = \frac{mv^2}{R}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_{c,new}$?
A. \frac{2mv^2}{R}
B. \frac{4mv^2}{R}
C. \frac{mv^2}{2R}
D. \frac{mv^2}{4R}
Question 6
A gas expands from an initial volume V1 to a final volume V2 at a cons\tant temperature T. Find the work done by the gas.
A. W = nRT \ln\left\( \frac{V1}{V2}\right \)
B. W = nRT \ln\left\( \frac{V2}{V1}\right \)
C. W = nRT \ln\left\( \frac{P2}{P1}\right \)
D. W = nRT \ln\left\( \frac{P1}{P2}\right \)
Question 7
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. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 8
A light ray passes through a prism with an angle of incidence $\theta_i$ and an angle of re\fraction $\theta_r$. If the angle of deviation $\delta$ is given by $\delta = \theta_i - \theta_r$, what is the value of $\theta_i$ if $\delta = 30^\circ$ and $\theta_r = 20^\circ$?
A. 50^\circ
B. 60^\circ
C. 70^\circ
D. 80^\circ
Question 9
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, calculate the apparent frequency heard by the observer.
A. 220 Hz
B. 240 Hz
C. 260 Hz
D. 280 Hz
Question 10
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \sqrt{\frac{mx^2}{k}}
C. \sqrt{\frac{k^2x^2}{m}}
D. \sqrt{\frac{m^2x^2}{k}}
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 force?
A. 8 N
B. 12 N
C. 16 N
D. 24 N
Question 12
A magnetic field of 0.5 T is applied to a coil of wire with 50 turns. If the current in the coil is 2 A, calculate the torque experienced by the coil.
A. 0.1 Nm
B. 0.2 Nm
C. 0.3 Nm
D. 0.4 Nm
Question 13
A gas occupies a volume of 2.5 L at a pressure of 1.2 atm. If the temperature is increased to 300 K, calculate the new volume of the gas.
A. 3.0 L
B. 3.5 L
C. 4.0 L
D. 4.5 L
Question 14
A wire of resis\tance 10 Ω is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a voltage of 120 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 15
A 5 L container is filled with 2 moles of an ideal gas at 300 K. The gas is then heated to 400 K while keeping the volume cons\tant. What is the change in internal energy of the gas?
A. 2000 J
B. 4000 J
C. 6000 J
D. 8000 J

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