POST UTME BOWEN UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple p\endulum of length 1 m is released from rest at an angle of 30° from the vertical. Assuming the p\endulum undergoes simple harmonic motion, determine the time period of the p\endulum.
A. 2 s
B. 4 s
C. 6 s
D. 8 s
Question 2
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 1000 J
B. 2000 J
C. 3000 J
D. 4000 J
Question 3
A parallel plate capacitor consists of two plates, each of area $A$ and separation $d$. The capacitor is charged to a potential difference $V$ and then disconnected from the power source. If the plates are moved closer together by a dis\tance $x$, what is the new capaci\tance $C_{new}$?
A. \frac{\epsilon_0 A}{d-x}
B. \frac{\epsilon_0 A}{d+x}
C. \frac{\epsilon_0 A}{d}
D. \frac{\epsilon_0 A}{d^2}
Question 4
A 5 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, 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 5
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across it, what is the charge stored on the plates?
A. 20 μC
B. 40 μC
C. 80 μC
D. 100 μC
Question 6
A parallel plate capacitor with plates of area 0.04 m^2 and separation 0.02 m is charged to a potential difference of 10 V. If the plates are then connected to a 5 F capacitor in parallel, what is the resulting charge on the 5 F capacitor?
A. 0.02 C
B. 0.04 C
C. 0.06 C
D. 0.08 C
Question 7
A heat engine operates between two temperatures, 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 8
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2 L, what is the final volume?
A. 1 L
B. 2 L
C. 3 L
D. 4 L
Question 9
A light ray passes from air into a medium with 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 current $I$ flows through a resistor $R$ and a capacitor $C$ connected in series. The capacitor has an initial charge $Q_0$ and is uncharged at $t=0$. If the current is switched off at $t=0$, what is the charge $Q(t)$ on the capacitor at time $t$?
A. Q_0 e^{-\frac{t}{RC}}
B. Q_0 e^{\frac{t}{RC}}
C. Q_0 + \frac{I}{C}t
D. Q_0 - \frac{I}{C}t
Question 11
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
Question 12
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 13
A block of mass $m$ is moving with a speed $v$ on a frictionless surface. The block collides with a stationary block of mass $M$. If the collision is perfectly inelastic, what is the final velocity $v_{final}$ of the combined blocks?
A. \frac{mv}{m+M}
B. \frac{m+M}{mv}
C. \frac{M}{m+M}
D. \frac{m}{M+m}
Question 14
A block of mass $m$ is attached to a horizontal, massless spring with a spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{k}{m}}x
B. \frac{k}{m}x
C. \frac{m}{k}x
D. \frac{k}{x}m
Question 15
A 2 kg block of ice at 0°C is placed in a 5°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the specific heat capacity of water is 4186 J/(kg·K), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes

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