POST UTME UNIPORT 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A light ray passes from air into a glass slab 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 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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 3
A radioactive sample decays from 100 g to 50 g in 10 years. What is the half-life of the sample?
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 4
A particle is moving in a circular path with a radius of 2 m. If the angular velocity is 5 rad/s, calculate the linear velocity of the particle.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 5
A beam of light passes from air into a glass of re\fractive index $n$. Find the angle of re\fraction $\theta'$.
A. \sin \theta' = \frac{n_2}{n_1} \sin \theta
B. \sin \theta' = \frac{n_1}{n_2} \sin \theta
C. \sin \theta' = \frac{n_2}{n_1} \cos \theta
D. \sin \theta' = \frac{n_1}{n_2} \cos \theta
Question 6
A gas is heated from 20°C to 50°C. If the initial pressure is 1 atm, what is the final pressure?
A. 1.5 atm
B. 2 atm
C. 3 atm
D. 4 atm
Question 7
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 8
A beam of light is incident on a glass slab at an angle of 45°. The re\fractive indices of glass and air are 1.5 and 1.0, respectively. What is the angle of re\fraction?
A. 30°
B. 45°
C. 60°
D. 75°
Question 9
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. Find the mass number $A'$ of the resulting nucleus.
A. A + 1
B. A - 1
C. A + Z
D. A - Z
Question 10
A parallel plate capacitor has a capaci\tance of 5 μF and is charged to a potential difference of 10 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 2.5 μF
B. 5 μF
C. 10 μF
D. 20 μF
Question 11
A 100 μF capacitor is connected in series with a 200 Ω resistor and a 10 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle's wave function is $\psi(x)$ and its energy is $E$, find the particle's momentum.
A. \frac{\sqrt{2mE}}{L}
B. \frac{2mE}{L}
C. \frac{mE}{L}
D. \frac{E}{mL}
Question 13
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 $x_0$ and released from rest. Assuming the motion is simple harmonic, find the angular frequency $omega$ of the particle's motion.
A. \frac{1}{\sqrt{m}}
B. \sqrt{\frac{m}{k}}
C. \frac{k}{m}
D. \sqrt{\frac{k}{m}}
Question 14
A capacitor is connected to a 12 V battery. If the capaci\tance is 10 μF, calculate the charge stored on the capacitor.
A. 120 μC
B. 240 μC
C. 360 μC
D. 480 μC
Question 15
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
A. 12 m/s^2
B. 15 m/s^2
C. 18 m/s^2
D. 20 m/s^2

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