POST UTME LEAD CITY UNIVERSITY 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A magnetic field of 0.5 T is applied to a coil of 100 turns and radius 0.1 m. What is the magnetic flux through the coil?
A. 0.05 Wb
B. 0.1 Wb
C. 0.15 Wb
D. 0.2 Wb
Question 2
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 3
A circuit consists of a 2 Ω resistor and a 3 Ω resistor connected in parallel. If a voltage of 6 V is applied across the circuit, what is the current flowing through the 2 Ω resistor?
A. 2 A
B. 3 A
C. 4 A
D. 5 A
Question 4
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 5
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 6
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. If the particle is subjected to a centripetal force F = \( mv^2 \)/r, what is the angular momentum of the particle?
A. mv^2/r
B. mvr
C. mv^3/r
D. mv^2/r^2
Question 7
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 8
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 9
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 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 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 12
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 13
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 14
A light ray passes from air into a glass slab of thickness t and re\fractive index μ. If the angle of incidence is θ, what is the angle of re\fraction?
A. \sin^{-1} \( \mu \sin \theta \)
B. \sin^{-1} \( \frac{\sin \theta}{\mu} \)
C. \sin^{-1} \( \frac{\mu \sin \theta}{\mu} \)
D. \sin^{-1} \( \frac{\sin \theta}{\mu} \)
Question 15
A gas is contained in a cylinder of volume 0.1 m^3 at a pressure of 100 kPa. If the temperature of the gas is increased by 20 K, calculate the new pressure of the gas.
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa

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