POST UTME UNILORIN 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A ray of light is incident on a prism with apex angle $A$ and re\fractive index $n$. If the angle of incidence is $i$ and the angle of emergence is $e$, find the angle of deviation $D$.
A. D = A + \( n-1 \) e
B. D = A + \( n-1 \) i
C. D = A + \( n-1 \) e
D. D = A + \( n-1 \) i
Question 2
A 0.500 kg object is attached to a horizontal, massless string and rotated in a circle with a radius of 0.200 m. If the object is rotating at a frequency of 2.00 Hz, what is the tension in the string?
A. 1.00 N
B. 2.00 N
C. 3.00 N
D. 4.00 N
Question 3
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the plates are charged to a potential difference of 10 V, what is the energy stored in the capacitor?
A. 0.5 J
B. 1 J
C. 5 J
D. 10 J
Question 4
A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, find the temperature $T_2$.
A. \eta = 1 - \frac{T_2}{T_1}
B. \eta = 1 - \frac{T_1}{T_2}
C. \eta = \frac{T_2}{T_1}
D. \eta = \frac{T_1}{T_2}
Question 5
A spring with a spring cons\tant of 100 N/m is stretched by 0.1 m. What is the work done in stretching the spring?
A. 1 J
B. 5 J
C. 10 J
D. 20 J
Question 6
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/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 \sinusoidal voltage source of frequency $f$ and amplitude $V_0$, find the impedance $Z$ of the circuit.
A. Z = \sqrt{R^2 + \( X_L + X_C \)^2}
B. Z = \sqrt{R^2 + \( X_L - X_C \)^2}
C. Z = \sqrt{R^2 + \( X_L + X_C \)^2}
D. Z = \sqrt{R^2 + \( X_L - X_C \)^2}
Question 8
A 2.0 m long wire has a resis\tance of 5.0 Ω. If the wire is stretched to a length of 4.0 m, what is its new resis\tance?
A. 2.5 Ω
B. 5.0 Ω
C. 10.0 Ω
D. 20.0 Ω
Question 9
A light ray passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 10
A wave of frequency $f$ and amplitude $A$ is described by the equation $y = A \sin \( 2 \pi f t \)$, where $y$ is the displacement of the wave at time $t$. If the wave is reflected from a fixed \end, find the equation of the reflected wave.
A. y_{\text{reflected}} = A \sin \( 2 \pi f \( t - \frac{L}{2v} \ \))
B. y_{\text{reflected}} = A \sin \( 2 \pi f \( t + \frac{L}{2v} \ \))
C. y_{\text{reflected}} = A \sin \( 2 \pi f \( t - \frac{L}{v} \ \))
D. y_{\text{reflected}} = A \sin \( 2 \pi f \( t + \frac{L}{v} \ \))
Question 11
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, find the impedance $Z$ of the circuit.
A. Z = \sqrt{R^2 + \( X_L - X_C \)^2}
B. Z = \sqrt{R^2 + \( X_L + X_C \)^2}
C. Z = \sqrt{R^2 - \( X_L - X_C \)^2}
D. Z = \sqrt{R^2 - \( X_L + X_C \)^2}
Question 12
A particle of mass $m$ is projected from the origin with an initial velocity $v_0$ at an angle $\theta$ to the horizontal. If the particle experiences a uniform gravitational field of strength $g$, find the time $t$ at which the particle reaches its maximum height.
A. t = \frac{v_0 \sin \theta}{g}
B. t = \frac{v_0 \cos \theta}{g}
C. t = \frac{v_0 \sin \theta}{g^2}
D. t = \frac{v_0 \cos \theta}{g^2}
Question 13
A 5.00 µF capacitor is charged to a potential difference of 12.0 V. What is the energy stored in the capacitor?
A. 0.300 J
B. 0.600 J
C. 1.20 J
D. 2.40 J
Question 14
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the plates are charged to a potential difference of 10 V, what is the capaci\tance of the capacitor?
A. 0.1 F
B. 0.01 F
C. 0.001 F
D. 0.0001 F
Question 15
A sound wave of frequency $f$ and amplitude $A$ is traveling through a medium of density $\rho$ and speed of sound $v_s$. If the wave is reflected from a rigid surface, what is the amplitude of the reflected wave?
A. A_r = A \left\( \frac{v_s - v_i}{v_s + v_i} \right \)^2
B. A_r = A \left\( \frac{v_s + v_i}{v_s - v_i} \right \)^2
C. A_r = A \left\( \frac{v_s - v_i}{v_s + v_i} \right \)
D. A_r = A \left\( \frac{v_s + v_i}{v_s - v_i} \right \)

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