POST UTME COAL CITY UNIVERSITY 2021 Physics | Objective

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Question 1
A gas is contained in a cylinder of volume 0.5 m^3 at a pressure of 2 atm. If the temperature of the gas is increased by 50 K, what is the new pressure of the gas?
A. 2.5 atm
B. 3 atm
C. 3.5 atm
D. 4 atm
Question 2
A \tank is filled with water to a height of 10 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, what is the rate at which the water level falls after 5 minutes?
A. 0.05 m/min
B. 0.1 m/min
C. 0.15 m/min
D. 0.2 m/min
Question 3
A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 500 m/s
B. 1000 m/s
C. 1500 m/s
D. 2000 m/s
Question 4
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 subjected to a centripetal force of 12 N, what is the magnitude of the force?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 5
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 12 N, what is the angle between the force and the radius vector?
A. 30°
B. 45°
C. 60°
D. 90°
Question 6
A sound wave with a frequency of 200 Hz is emitted from a stationary source. A stationary observer is located 20 m away from the source. If the speed of sound in air is 343 m/s, what is the wavelength of the sound wave?
A. 0.17 m
B. 1.7 m
C. 17 m
D. 170 m
Question 7
A 100 V battery is connected in parallel with a 10 μF capacitor and a 20 Ω resistor. If the switch is closed at time t = 0, what is the current in the circuit after 2 seconds?
A. 0.1 A
B. 0.2 A
C. 0.3 A
D. 0.4 A
Question 8
A gas occupies a volume of 2 L at a pressure of 1 atm and a temperature of 300 K. Calculate the new volume of the gas when the pressure is increased to 2 atm and the temperature is decreased to 200 K.
A. 1 L
B. 2 L
C. 3 L
D. 4 L
Question 9
A circuit consists of a battery of emf $V$, a resistor of resis\tance $R$, and an inductor of induc\tance $L$. If the circuit is connected to a switch, calculate the current in the circuit at time $t$.
A. ( i(t) = \frac{V}{R} \( 1 - e^{-\frac{Rt}{L}} \) )
B. ( i(t) = \frac{V}{R} \( 1 + e^{-\frac{Rt}{L}} \) )
C. ( i(t) = \frac{V}{R} \( e^{-\frac{Rt}{L}} \) )
D. ( i(t) = \frac{V}{R} \( e^{\frac{Rt}{L}} \) )
Question 10
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 subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 11
A sound wave with a frequency of 400 Hz is emitted from a stationary source. A stationary observer is located 10 m away from the source. If the speed of sound in air is 343 m/s, what is the wavelength of the sound wave?
A. 0.85 m
B. 8.5 m
C. 85 m
D. 850 m
Question 12
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current flowing through the 5 Ω resistor.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.0 A
Question 13
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° 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. 12 m
C. 15 m
D. 18 m
Question 14
A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine absorbs $Q_1$ amount of heat from the high-temperature reservoir and rejects $Q_2$ amount of heat to the low-temperature reservoir, calculate the efficiency of the engine.
A. \( eta = 1 - \frac{Q_2}{Q_1} \)
B. \( eta = 1 - \frac{Q_1}{Q_2} \)
C. \( eta = \frac{Q_2}{Q_1} \)
D. \( eta = \frac{Q_1}{Q_2} \)
Question 15
A body is moving with a uniform acceleration of 2 m/s^2. If the initial velocity is 4 m/s, calculate the dis\tance traveled in 5 seconds.
A. ( 20 ) m
B. ( 30 ) m
C. ( 40 ) m
D. ( 50 ) m

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