POST UTME UNILAG 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the plates are separated by a dis\tance of 2 mm, what is the surface charge density?
A. 20 μC/m^2
B. 40 μC/m^2
C. 60 μC/m^2
D. 80 μC/m^2
Question 2
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 subject to a centripetal force of 10 N, calculate the time taken by the particle to complete one revolution.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 3
A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the acceleration due to gravity is 9.8 m/s^2, what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 4
A particle of mass 1 kg is in a one-dimensional potential well of depth 10 eV. If the particle is in the ground state, what is the wavelength of the particle?
A. 1 nm
B. 2 nm
C. 3 nm
D. 4 nm
Question 5
A 2.5 mH inductor is connected in series with a 10 Ω resistor and a 20 V battery. If the inductor is initially at rest, what is the current in the circuit after 5 ms?
A. 0.04 A
B. 0.08 A
C. 0.12 A
D. 0.16 A
Question 6
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by a voltage source $V_0$ with a frequency $f$, what is the impedance $Z$?
A. \sqrt{R^2 + \( X_L - X_C \)^2}
B. R + X_L - X_C
C. R - X_L + X_C
D. R + X_L + X_C
Question 7
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 V battery. If the current in the circuit is 0.5 A, what is the potential difference across the 10 Ω resistor?
A. 2 V
B. 3 V
C. 4 V
D. 5 V
Question 8
A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 9
A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, calculate the new capaci\tance.
A. 6 μF
B. 8 μF
C. 10 μF
D. 12 μF
Question 10
A 5 L container is filled with 2 moles of an ideal gas at a temperature of 300 K. If the gas is heated to a temperature of 400 K, what is the new volume of the gas?
A. 4 L
B. 5 L
C. 6 L
D. 7 L
Question 11
A 5 kg block is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 12
A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the air resis\tance is negligible, what is the equation of the trajectory?
A. y = x \tan \theta - \frac{g x^2}{2 v_0^2 \cos^2 \theta}
B. y = x \tan \theta + \frac{g x^2}{2 v_0^2 \cos^2 \theta}
C. y = x \tan \theta - \frac{g x^2}{v_0^2 \cos^2 \theta}
D. y = x \tan \theta + \frac{g x^2}{v_0^2 \cos^2 \theta}
Question 13
A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of incidence is $i$ and the angle of emergence is $e$, what is the angle of deviation $D$?
A. A + B
B. A - B
C. i + e
D. i - e
Question 14
A sound wave with a frequency of 200 Hz and amplitude of 0.1 m is traveling through a medium with a speed of 340 m/s. Calculate the wavelength of the sound wave.
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 15
A sound wave with a frequency of 200 Hz and a wavelength of 1.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the wave?
A. 0.01 m
B. 0.02 m
C. 0.03 m
D. 0.04 m

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