POST UTME SKYLINE UNIVERSITY 2020 Physics | Objective

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Question 1
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 2
A solid sphere of radius R is floating in a liquid of density ρ. The sphere is made of a material of density σ. If the sphere is displaced by a dis\tance x from its equilibrium position, the force of buoyancy on the sphere is given by F = \( 4/3 \)πR^3\( ρ - σ \)g. What is the potential energy of the sphere in the displaced position?
A. 0
B. \frac{1}{2}\( 4/3 \)πR^3\( ρ - σ \)gx
C. \frac{1}{2}\( 4/3 \)πR^3\( ρ - σ \)gx^2
D. \frac{1}{2}\( 4/3 \)πR^3\( ρ - σ \)gx^3
Question 3
A liquid of density $\rho$ is contained in a \tank of height $h$ and base area $A$. Find the pressure at the bottom of the \tank.
A. \rho gh
B. \frac{\rho gh}{A}
C. \frac{\rho h}{A}
D. \frac{\rho g}{A}
Question 4
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 5
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 6
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
Question 7
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 8
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. 30°
C. 40°
D. 50°
Question 9
A 5 kg block is moving with a velocity of 2 m/s. If a force of 10 N is applied to the block, calculate the acceleration of the block.
A. 0.2 m/s^2
B. 0.4 m/s^2
C. 0.6 m/s^2
D. 0.8 m/s^2
Question 10
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 11
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 12
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 13
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 14
A 5 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 speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 15
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

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