POST UTME AL-HIKMAH UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 8.0 nF, what is the dielectric cons\tant of the material between the plates?
A. 2.5
B. 3.0
C. 3.5
D. 4.0
Question 2
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 cm. What is the angular frequency?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 3
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 12 V battery. If the initial current is 0 A, find the current after 5 ms.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 4
A 50 Hz AC voltage is applied across a 20 Ω resistor. What is the peak value of the current?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 5
A 100 Hz tuning fork is placed near a 200 Hz tuning fork. If the beat frequency is 10 Hz, find the frequency of the 100 Hz tuning fork.
A. 90 Hz
B. 100 Hz
C. 110 Hz
D. 120 Hz
Question 6
A 5.0 kg block is moving with a speed of 2.0 m/s on a horizontal surface. If the block is brought to rest in 2.0 s, calculate the force applied to the block.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 8
A 2.0 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.20 m from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, calculate the maximum speed of the block.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 9
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the expectation value of the position?
A. 0
B. 1/α
C. 1/2α
D. 1/4α
Question 10
A particle of mass 0.5 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, find the maximum speed of the particle.
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 11
A 2 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position, what is the force exerted by the spring on the block?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 12
A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 10 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 0.5 s
B. 1.0 s
C. 2.0 s
D. 5.0 s
Question 13
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's velocity is $v$, what is the total energy of the particle?
A. \frac{1}{2}mv^2
B. -\frac{k}{r}
C. \frac{1}{2}mv^2 - \frac{k}{r}
D. \frac{k}{r}
Question 14
A wave function $\psi(x)$ is given by $\psi(x) = Ae^{ikx}$. If the wave function is normalized, what is the value of $A$?
A. 1
B. \sqrt{\frac{1}{2\pi}}
C. \sqrt{\frac{1}{\pi}}
D. \sqrt{\frac{1}{2\pi^2}}
Question 15
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, find the angle of re\fraction.
A. 20°
B. 30°
C. 40°
D. 50°

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