POST UTME UNILAG 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circular path is 3 m, calculate the magnitude of the centripetal acceleration.
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 3
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 4
A light ray passes through a prism of angle 60° and is deviated by 30°. If the angle of incidence is 45°, calculate the angle of emergence.
A. 30°
B. 45°
C. 60°
D. 75°
Question 5
A magnetic field of 0.5 T is applied to a coil of 100 turns and a radius of 0.2 m. If the coil is rotated by 90°, what is the induced emf?
A. 0.2 V
B. 0.35 V
C. 0.5 V
D. 0.7 V
Question 6
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 7
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 8
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V DC source. If the time cons\tant of the circuit is 2 s, calculate the charge stored in the capacitor after 4 s.
A. 10 μC
B. 20 μC
C. 30 μC
D. 40 μC
Question 9
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 10
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 11
A simple harmonic motion has a period $T$ and an amplitude $A$. If the motion is damped by a force proportional to the velocity, what is the equation of motion?
A. x(t) = Ae^{-\beta t} \cos\( \omega t + \phi \)
B. x(t) = Ae^{\beta t} \cos\( \omega t + \phi \)
C. x(t) = Ae^{-\beta t} \sin\( \omega t + \phi \)
D. x(t) = Ae^{\beta t} \sin\( \omega t + \phi \)
Question 12
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 13
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 14
A magnetic field of 2 T is applied to a wire of length 5 m and cross-sectional area 0.1 m^2. If the current flowing through the wire is 10 A, calculate the force exerted on the wire.
A. 20 N
B. 30 N
C. 40 N
D. 50 N
Question 15
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. The particle experiences a centripetal force $F_c = \frac{mv^2}{r}$. If the particle's speed is doubled to $2v$, what is the new centripetal force $F_c'$?
A. 4mv^2/r
B. 2mv^2/r
C. mv^2/r
D. mv^2/2r

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