POST UTME BSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability of finding the particle between x = 0 and x = 1?
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Question 2
A wave of frequency 100 Hz and wavelength 2 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the frequency of the reflected wave?
A. 50 Hz
B. 100 Hz
C. 150 Hz
D. 200 Hz
Question 3
A parallel plate capacitor has a capaci\tance of 20 μF and is charged to a potential difference of 30 V. If a dielectric material with a dielectric cons\tant of 4 is inserted between the plates, what is the new capaci\tance?
A. 80 μF
B. 100 μF
C. 120 μF
D. 140 μF
Question 4
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 5
A simple harmonic motion has a period of 2 s and an amplitude of 3 m. What is the angular frequency?
A. 1 rad/s
B. 2 rad/s
C. 3 rad/s
D. 4 rad/s
Question 6
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle experiences a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 3 seconds?
A. 7 m/s
B. 8 m/s
C. 9 m/s
D. 10 m/s
Question 7
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output of the engine?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 8
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 9
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 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 11
A 10 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum velocity of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
A heat engine operates between two temperatures $T_1$ and $T_2$, with $T_1 > T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, what is the efficiency of the engine?
A. 1 - \frac{Q_1}{Q_2}
B. 1 - \frac{Q_2}{Q_1}
C. \frac{Q_1}{Q_2}
D. \frac{Q_2}{Q_1}
Question 13
A 100 μF capacitor is connected in series with a 200 Ω resistor and a 50 mH inductor. If the circuit is driven by a 10 V AC source, what is the impedance of the circuit?
A. 50 Ω
B. 100 Ω
C. 150 Ω
D. 200 Ω
Question 14
A 2 m long wire of resis\tance 10 Ω is connected in series with a 5 m long wire of resis\tance 20 Ω. If the total resis\tance of the circuit is 30 Ω, what is the length of the third wire connected in parallel with the 5 m long wire?
A. 1 m
B. 2 m
C. 3 m
D. 4 m
Question 15
A particle of mass 0.5 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum velocity of the particle.
A. 0.5 m/s
B. 1 m/s
C. 2 m/s
D. 5 m/s

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