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 gas is enclosed in a container at a pressure of 2.0 atm. If the temperature is increased by 10°C, what is the new pressure of the gas, assuming the volume remains cons\tant?
A. 1.8 atm
B. 2.2 atm
C. 2.5 atm
D. 3.0 atm
Question 3
A convex lens has a focal length of 20 cm. If an object is placed 30 cm in front of the lens, where will the image be formed?
A. 10 cm
B. 20 cm
C. 30 cm
D. 40 cm
Question 4
A magnetic field of strength 2 T is applied to a current-carrying wire of length 5 m. If the current in the wire is 3 A, what is the magnitude of the force acting on the wire?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
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 6
A 50 Ω resistor is connected to a 100 V AC source. If the power factor is 0.8, calculate the power consumed by the resistor.
A. 50 W
B. 60 W
C. 70 W
D. 80 W
Question 7
A 10 kg block is placed on a frictionless surface. A horizontal force of 20 N is applied to the block. If the block starts from rest, calculate the work done by the force in the first 2 seconds.
A. 40 J
B. 60 J
C. 80 J
D. 100 J
Question 8
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the gas is ideal and the process is isothermal, calculate the work done by the gas.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
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 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 10
A ray of light passes from air into a glass block at an angle of incidence $\theta_i$. The angle of re\fraction is $\theta_r$. Find the re\fractive index of the glass.
A. \frac{\sin \theta_i}{\sin \theta_r}
B. \frac{\sin \theta_r}{\sin \theta_i}
C. \frac{\cos \theta_i}{\cos \theta_r}
D. \frac{\cos \theta_r}{\cos \theta_i}
Question 11
A ray of light passes from air into a glass block at an angle of incidence of 30°. If the re\fractive index of the glass is 1.5, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 12
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 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 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 15
A 200 g block is heated from 20°C to 80°C. If the specific heat capacity of the block is 400 J/kg°C, calculate the energy transferred to the block.
A. 800 J
B. 1200 J
C. 1600 J
D. 2000 J

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