POST UTME UNIBEN 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A thermodynamic system undergoes a process from state A to state B, where the internal energy (U) increases by 100 J. If the heat added to the system is 150 J, what is the work done (W) by the system?
A. 50 J
B. 75 J
C. 100 J
D. 125 J
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the probability of finding the particle in the region $0 < x < \frac{L}{2}$?
A. \frac{1}{2}
B. \frac{1}{4}
C. \frac{1}{8}
D. \frac{1}{16}
Question 3
A 10 μF capacitor is connected in parallel with a 20 μF capacitor. What is the equivalent capaci\tance \( C_eq \) of the circuit?
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 4
A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. What is the kinetic energy (KE) of the block?
A. 5 J
B. 10 J
C. 15 J
D. 20 J
Question 5
A light ray 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. 30°
C. 40°
D. 50°
Question 6
A sound wave with frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a surface, what is the frequency of the reflected wave?
A. f
B. 2f
C. \frac{f}{2}
D. \frac{f}{4}
Question 7
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. What is the magnitude of the magnetic field (B) required to produce this motion?
A. 0.1 T
B. 0.2 T
C. 0.5 T
D. 1 T
Question 8
A solid cylinder of radius 0.1 m and height 0.2 m is floating in a liquid of density 1000 kg/m^3. If the cylinder is made of a material of density 500 kg/m^3, what is the percentage of the cylinder's volume that is submerged in the liquid?
A. 20%
B. 30%
C. 40%
D. 50%
Question 9
A wave of frequency 100 Hz and wavelength 0.1 m is traveling through a medium. What is the speed (v) of the wave?
A. 10 m/s
B. 20 m/s
C. 50 m/s
D. 100 m/s
Question 10
A sound wave with frequency $f$ is emitted by a source moving at a speed $v$ towards a stationary observer. The speed of sound in the medium is $c$. What is the apparent frequency heard by the observer?
A. f + \frac{v}{c} f
B. f - \frac{v}{c} f
C. f + \frac{v}{c} f
D. f - \frac{v}{c} f
Question 11
A particle of mass $m$ is in a one-dimensional box of length $L$. If the particle's wave function is given by \psi(x) = Ae^{ikx}, what is the momentum of the particle?
A. \hbar k
B. \frac{\hbar k}{m}
C. \frac{\hbar^2 k^2}{2m}
D. \frac{\hbar^2 k^2}{m}
Question 12
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. The particle is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency (ω) of the particle's motion?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 13
A nucleus of mass number 240 and atomic number 94 undergoes \alpha decay. What is the mass number of the daughter nucleus?
A. 236
B. 238
C. 240
D. 242
Question 14
A 2.5 V battery is connected in series with a 10 Ω resistor and a 5 μF capacitor. The capacitor is initially uncharged. What is the time cons\tant (τ) of the circuit?
A. 0.05 s
B. 0.1 s
C. 0.5 s
D. 1 s
Question 15
A 100 Ω capacitor is connected in series with a 200 Ω capacitor and a 50 Ω resistor. If the voltage across the 200 Ω capacitor is 20 V, what is the current through the circuit?
A. 0.1 A
B. 0.2 A
C. 0.3 A
D. 0.4 A

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