POST UTME AL-HIKMAH UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $R$ from the origin, what is the time of flight?
A. \frac{2v_0 \sin \theta}{g}
B. \frac{v_0 \sin \theta}{g}
C. \frac{2v_0 \cos \theta}{g}
D. \frac{v_0 \cos \theta}{g}
Question 2
A ray of light 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 3
A parallel plate capacitor consists of two plates, each of area $A$, separated by a dis\tance $d$. The capaci\tance of the capacitor is given by $C = \frac{epsilon_0 A}{d}$. If the area of each plate is increased by a factor of 4, and the dis\tance between the plates is decreased by a factor of 2, what is the new capaci\tance?
A. \frac{\epsilon_0 A}{d}
B. \frac{2\epsilon_0 A}{d}
C. \frac{\epsilon_0 A}{d/2}
D. \frac{8\epsilon_0 A}{d/2}
Question 4
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 400 m/s
D. 800 m/s
Question 5
A body is in equilibrium under the action of two forces, one of magnitude 5 N and the other of magnitude 10 N. Calculate the angle between the forces.
A. 30°
B. 45°
C. 60°
D. 90°
Question 6
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 7
A radioactive sample decays from 120 g to 90 g in 5 years. Calculate the half-life of the sample.
A. 10 years
B. 15 years
C. 20 years
D. 25 years
Question 8
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 9
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source with a frequency $f$, what is the impedance of the circuit?
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \sqrt{R^2 + \( \omega L + \frac{1}{\omega C} \)^2}
C. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
D. \sqrt{R^2 - \( \omega L + \frac{1}{\omega C} \)^2}
Question 10
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 11
A 2.5 m long wire has a resis\tance of 3.2 Ω. If the wire is stretched to 4 m, what is its new resis\tance?
A. 2.5 Ω
B. 3.2 Ω
C. 4 Ω
D. 6.4 Ω
Question 12
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 13
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V battery. What is the time cons\tant of the circuit?
A. 2.4 s
B. 4.8 s
C. 6.0 s
D. 8.0 s
Question 14
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is its angular momentum?
A. 12 kg m^2/s
B. 24 kg m^2/s
C. 48 kg m^2/s
D. 96 kg m^2/s
Question 15
A charged particle moves through a region with a uniform magnetic field. If the particle's velocity is perp\endicular to the magnetic field, what is the direction of the force exerted on the particle?
A. Towards the north
B. Towards the south
C. Perp\endicular to the magnetic field
D. In the opposite direction of the magnetic field

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