POST UTME LEAD CITY UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field $B$ is directed perp\endicular to a current-carrying wire of length $L$. Calculate the force exerted on the wire.
A. qvB
B. qv^2B
C. qv^2B^2
D. qvB^2
Question 2
A particle of mass $m$ is confined to a one-dimensional box of length $L$. Calculate the expectation value of the position operator $hat{x}$ in the ground state.
A. \frac{L}{2}
B. \frac{L}{\sqrt{2}}
C. \frac{L}{\sqrt{3}}
D. \frac{L}{\sqrt{4}}
Question 3
A gas at 300 K and 1 atm is compressed to half its original volume. What is the new pressure?
A. 2 atm
B. 4 atm
C. 6 atm
D. 8 atm
Question 4
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the point of launch, what is the time of flight?
A. 1 s
B. 2 s
C. 3 s
D. 4 s
Question 5
A 100 V, 50 Hz AC supply is connected across a 20 Ω resistor. What is the rms value of the current flowing through the resistor?
A. 0.5 A
B. 1 A
C. 1.5 A
D. 2 A
Question 6
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 7
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the peak voltage is 10 V, what is the average power dissipated in the resistor?
A. 25 W
B. 50 W
C. 100 W
D. 200 W
Question 8
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 9
A simple harmonic motion is described by the equation x(t) = 0.5 \sin\( 2t + π/4 \). If the amplitude of the motion is 0.5 m, calculate the maximum acceleration of the object.
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A simple harmonic motion has a maximum displacement of 2 m and a period of 4 s. If the motion starts from its equilibrium position, what is the equation of motion?
A. x(t) = 2 \sin\( \frac{\pi}{2} t \)
B. x(t) = 2 \sin\( \frac{\pi}{4} t \)
C. x(t) = 2 \sin\( \frac{\pi}{8} t \)
D. x(t) = 2 \sin\( \frac{\pi}{16} t \)
Question 11
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. 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 wave function $\psi(x)$ is given by $\psi(x) = Ae^{-\frac{x^2}{2a^2}}$. Calculate the expectation value of the position operator $\hat{x}$.
A. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x Ae^{-\frac{x^2}{2a^2}} dx
B. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^2 Ae^{-\frac{x^2}{2a^2}} dx
C. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^3 Ae^{-\frac{x^2}{2a^2}} dx
D. \frac{1}{\sqrt{2a^2}} \int_{-\infty}^{\infty} x^4 Ae^{-\frac{x^2}{2a^2}} dx
Question 13
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. What is the centripetal force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 14
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 15
A gas expands from an initial volume of 1 m^3 to a final volume of 2 m^3 at a cons\tant temperature. If the initial pressure is 100 kPa, what is the final pressure?
A. 50 kPa
B. 75 kPa
C. 100 kPa
D. 125 kPa

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