POST UTME SKYLINE UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 of the oscillations.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 2
A wave of frequency $f$ and wavelength $\lambda$ is propagating through a medium with speed $v$. If the wave is polarized in the $x$-direction, find the electric field of the wave as a function of time and position.
A. E_x = E_0 \cos \left\( k x - \omega t \right \)
B. E_x = E_0 \sin \left\( k x - \omega t \right \)
C. E_x = E_0 \cos \left\( k x + \omega t \right \)
D. E_x = E_0 \sin \left\( k x + \omega t \right \)
Question 3
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 4
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 force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum voltage is 100 V, calculate the root mean square (RMS) value of the current flowing through the resistor.
A. 2 A
B. 4 A
C. 5 A
D. 10 A
Question 6
A spring with a spring cons\tant of 100 N/m is stretched by 2 m. If the spring is then released from rest, what is the maximum velocity of the spring?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A block of mass 5.0 kg is attached to a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.5 m from its equilibrium position, what is the magnitude of the force exerted by the spring?
A. 25 N
B. 50 N
C. 75 N
D. 100 N
Question 8
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?
A. 1.0 s
B. 2.0 s
C. 3.0 s
D. 4.0 s
Question 9
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the circuit is closed at time t = 0, calculate the current in the circuit at time t = 2 s.
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 10
A uniform solid sphere of radius $R$ and mass $M$ is placed at the origin. A point charge $q$ is placed at a dis\tance $r$ from the center of the sphere. If the electric field at the surface of the sphere is $E_s$, find the electric field at a dis\tance $r$ from the center of the sphere.
A. E = \frac{q}{4 \pi \epsilon_0 r^2} \left\( 1 - \frac{3 \cos^2 \theta}{2} \right \)
B. E = \frac{q}{4 \pi \epsilon_0 r^2} \left\( 1 + \frac{3 \cos^2 \theta}{2} \right \)
C. E = \frac{q}{4 \pi \epsilon_0 r^2} \left\( 1 - \frac{3 \sin^2 \theta}{2} \right \)
D. E = \frac{q}{4 \pi \epsilon_0 r^2} \left\( 1 + \frac{3 \sin^2 \theta}{2} \right \)
Question 11
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 magnitude of the net force acting on the particle?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 12
A wave with a frequency of 50 Hz and a wavelength of 2.0 m is traveling through a medium. If the wave has a speed of 100 m/s, what is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 13
A capacitor consists of two parallel plates of area $A$ and separation $d$. If the plates are charged to a potential difference $V$, find the capaci\tance of the capacitor.
A. \frac{\epsilon_0 A}{d}
B. \frac{\epsilon_0 A}{d^2}
C. \frac{\epsilon_0 A^2}{d}
D. \frac{\epsilon_0 A^2}{d^2}
Question 14
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate 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 block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts moving with an initial velocity of 2 m/s, what is the work done by the force?
A. -20 J
B. -10 J
C. 0 J
D. 20 J

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