POST UTME AFE BABALOLA UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length 20 cm is used to form an image of an object placed 30 cm in front of it. If the object is moved 10 cm closer to the lens, what is the new image dis\tance?
A. 15 cm
B. 20 cm
C. 25 cm
D. 30 cm
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. What is the magnitude of the net force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 3
A gas is contained in a cylinder of volume $V$ at a temperature $T$. If the gas is heated to a higher temperature $T + \Delta T$, what is the change in the pressure of the gas?
A. \( \frac{\Delta T}{T} P \)
B. \( \frac{P}{\Delta T} \)
C. \( \frac{V}{T} \Delta T \)
D. \( \frac{T}{V} \Delta V \)
Question 4
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, calculate the final pressure.
A. 1.5 atm
B. 2 atm
C. 3 atm
D. 4 atm
Question 5
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 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 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 force exerted on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 7
A simple p\endulum has a length of 1.5 m and a mass of 0.2 kg. If the p\endulum is displaced by 30° from its equilibrium position and released from rest, what is the period of the p\endulum?
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 8
A circuit consists of a battery of emf $\mathcal{E}$, a resistor of resis\tance $R$, and an inductor of induc\tance $L$. If the circuit is connected to a switch that is closed at time $t = 0$, what is the current in the circuit at time $t$?
A. \frac{\mathcal{E}}{R} \left\( 1 - e^{-\frac{R}{L} t} \right \)
B. \frac{\mathcal{E}}{R} \left\( 1 + e^{-\frac{R}{L} t} \right \)
C. \frac{\mathcal{E}}{R} \left\( 1 - e^{\frac{R}{L} t} \right \)
D. \frac{\mathcal{E}}{R} \left\( 1 + e^{\frac{R}{L} t} \right \)
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 particle of mass $m$ is moving in a circular orbit with a radius $r$ and a speed $v$. If the particle is subject to a centripetal force $F_c$, what is the value of the force $F_c$?
A. F_c=\frac{mv^2}{r}
B. F_c=\frac{mr^2}{v^2}
C. F_c=\frac{v^2}{mr}
D. F_c=\frac{r^2}{mv^2}
Question 11
A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 14
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, what is the impedance of the circuit?
A. \( \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2} \)
B. \( R + \omega L - \frac{1}{\omega C} \)
C. \( R - \omega L + \frac{1}{\omega C} \)
D. \( R + \omega L + \frac{1}{\omega C} \)
Question 15
A parallel beam of light is incident on a glass slab of thickness 5 cm and re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°

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