POST UTME MOUNTAIN TOP UNIVERSITY 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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 3
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 4
A particle of mass 2.0 kg is moving in a circular path of radius 3.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the centripetal acceleration of the particle?
A. \( 0.5 , \text{m/s}^2 \)
B. \( 1.0 , \text{m/s}^2 \)
C. \( 2.0 , \text{m/s}^2 \)
D. \( 4.0 , \text{m/s}^2 \)
Question 5
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 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 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
Question 8
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 9
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 10
A sound wave with a frequency of 200 Hz has a speed of 343 m/s. What is the wavelength of the sound wave?
A. 1.71 m
B. 1.72 m
C. 1.73 m
D. 1.74 m
Question 11
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 12
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The wave function of the particle is given by $psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{npi x}{L}\right \)$, where $n$ is a positive integer. What is the expectation value of the position of the particle?
A. 0
B. L/2
C. L
D. nπL/2
Question 13
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 14
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. The particle has a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 6 N
B. 12 N
C. 18 N
D. 24 N
Question 15
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}

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