POST UTME MOUNTAIN TOP UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 0.5 m. If the particle is displaced by 0.2 m from its equilibrium position, what is the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A sound wave with frequency $f$ is traveling through a medium with speed $v$. The amplitude of the wave is given by $A = 0.1$ m. What is the intensity of the sound wave?
A. 10^{-3} W/m^2
B. 10^{-2} W/m^2
C. 10^{-1} W/m^2
D. 10^{0} W/m^2
Question 3
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. \( 10 , \text{m} \)
B. \( 15 , \text{m} \)
C. \( 20 , \text{m} \)
D. \( 25 , \text{m} \)
Question 4
A capacitor consists of two parallel plates, each with an area of 0.01 m^2. The dis\tance between the plates is 0.001 m. If the capaci\tance is 10 nF, what is the charge on the capacitor when the potential difference between the plates is 5 V?
A. 0.05 C
B. 0.1 C
C. 0.15 C
D. 0.2 C
Question 5
A particle of mass 1.0 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 3.0 m/s. What is the magnitude of the centripetal force acting on the particle?
A. \( 0.5 , \text{N} \)
B. \( 1.0 , \text{N} \)
C. \( 1.5 , \text{N} \)
D. \( 2.0 , \text{N} \)
Question 6
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If the voltage source is 12 V, what is the current in the circuit?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 7
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial volume is 2.5 L and the gas cons\tant is 0.0821 L atm/mol K, what is the final pressure of the gas in atm?
A. 10.4 atm
B. 12.5 atm
C. 15.6 atm
D. 18.7 atm
Question 8
A circuit consists of a resistor $R$ and an inductor $L$ connected in series. The voltage source is given by $V(t) = 10 \sin(2pi ft)$, where $f$ is the frequency of the source. What is the impedance of the circuit?
A. R
B. L
C. \sqrt{R^2 + L^2}
D. \sqrt{R^2 - L^2}
Question 9
A 1000 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. The circuit is driven by a \sinusoidal voltage source with a peak value of 10 V. What is the phase angle between the voltage and current in the circuit?
A. 45°
B. 90°
C. 135°
D. 180°
Question 10
A capacitor consists of two parallel plates, each of area 0.02 m^2, separated by a dis\tance of 0.005 m. The capacitor is connected to a 12 V battery. What is the capaci\tance of the capacitor?
A. \( 0.24 , \text{F} \)
B. \( 0.48 , \text{F} \)
C. \( 0.72 , \text{F} \)
D. \( 1.2 , \text{F} \)
Question 11
A particle of mass 0.5 kg is moving in a circular path with a radius of 2 m. If the particle has a speed of 4 m/s, what is the magnitude of the centripetal force acting on the particle?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 12
A magnetic field $B$ is given by $B = 0.5 \sin(2pi ft)$, where $f$ is the frequency of the field. What is the magnetic flux through a coil of area $A$?
A. 0.25 A
B. 0.5 A
C. 0.75 A
D. 1 A
Question 13
A gas occupies a volume of 2.5 L at a pressure of 1.2 atm. What is the pressure of the gas when its volume is increased to 5.0 L?
A. \( 0.6 , \text{atm} \)
B. \( 1.2 , \text{atm} \)
C. \( 1.8 , \text{atm} \)
D. \( 2.4 , \text{atm} \)
Question 14
A heat engine operates between two temperatures $T_1$ and $T_2$. The efficiency of the engine is given by $\eta = 1 - \frac{T_2}{T_1}$. What is the efficiency of the engine if $T_1 = 300$ K and $T_2 = 200$ K?
A. 0.1
B. 0.2
C. 0.3
D. 0.4
Question 15
A gas at 300 K and 1 atm is compressed to half its original volume. What is the new pressure of the gas?
A. 2 atm
B. 4 atm
C. 6 atm
D. 8 atm

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