POST UTME SKYLINE UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle has a velocity of 4 m/s, calculate the centripetal force acting on the particle.
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 2
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 3
A block of mass $m$ is placed on a frictionless surface and a horizontal force $F$ is applied to it. If the block is displaced by a dis\tance $x$ from its equilibrium position and released, find the time period of the resulting simple harmonic motion.
A. 2\pi \sqrt{\frac{m}{k}}
B. \frac{m}{k}
C. \frac{k}{m}
D. \frac{1}{\sqrt{mk}}
Question 4
A magnetic field of strength $B$ is directed perp\endicular to a wire of length $L$ and carrying a current $I$. Find the force on the wire.
A. BIL
B. \frac{BIL}{L}
C. \frac{BIL}{I}
D. \frac{BIL}{B}
Question 5
A capacitor of capaci\tance C is charged to a potential difference V. The capacitor is then connected to a resistor of resis\tance R. What is the time cons\tant of the circuit?
A. CR
B. RC
C. C/R
D. R/C
Question 6
A light ray passes through a prism of angle A and is re\fracted at an angle θ. The angle of deviation is given by δ = A + θ - α, where α is the angle of incidence. If the angle of incidence is 30° and the angle of re\fraction is 40°, what is the angle of deviation?
A. 20°
B. 30°
C. 40°
D. 50°
Question 7
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source with a frequency of $f$. Assuming the circuit is in resonance, find 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. \\omega L - \\frac{1}{\\omega C}
D. R - \omega L + \frac{1}{\omega C}
Question 8
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, calculate the current flowing through the 10 Ω resistor.
A. 0.4 A
B. 0.8 A
C. 1.2 A
D. 1.6 A
Question 9
A vector $\vec{A}$ has a magnitude of $5$ units and is directed at an angle of $30^\circ$ above the positive x-axis. Find the x-component of $\vec{A}$.
A. 5 \\cos 30^\\circ
B. 5 \\sin 30^\\circ
C. 5 \\cos 60^\\circ
D. 5 \\sin 60^\\circ
Question 10
A coil of wire has a resis\tance of $R$ and an induc\tance of $L$. If the coil is connected to a battery of emf $\mathcal{E}$, find the current in the coil after a time $t$.
A. \frac{\mathcal{E}}{R} \( 1 - e^{-\frac{Rt}{L}} \)
B. \frac{\mathcal{E}}{R} e^{-\frac{Rt}{L}}
C. \frac{\mathcal{E}}{R} \( 1 + e^{-\frac{Rt}{L}} \)
D. \frac{\mathcal{E}}{R} \( 1 - e^{\frac{Rt}{L}} \)
Question 11
A 2 kg block of metal is heated from 20°C to 80°C. If the specific heat capacity of the metal is 0.4 kJ/kg°C, calculate the heat energy transferred to the block.
A. 160 J
B. 320 J
C. 640 J
D. 1280 J
Question 12
A simple harmonic motion has a maximum displacement of 2 m and a frequency of 3 Hz. If the amplitude is 1 m, calculate the angular frequency.
A. 6 rad/s
B. 12 rad/s
C. 18 rad/s
D. 24 rad/s
Question 13
A 100 W bulb is connected to a 230 V AC source. If the power factor is 0.8, what is the current drawn by the bulb?
A. 0.5 A
B. 0.6 A
C. 0.7 A
D. 0.8 A
Question 14
A light ray passes through a convex lens of focal length f. The object dis\tance is given by u. What is the image dis\tance?
A. f
B. u
C. f + u
D. f - u
Question 15
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 400 m/s
C. 500 m/s
D. 600 m/s

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