POST UTME RHEMA UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 Ω resistor and a 20 Ω resistor connected in series. If a 6 V battery is connected across the circuit, what is the current flowing through the 12 Ω resistor?
A. 0.25 A
B. 0.5 A
C. 0.75 A
D. 1 A
Question 2
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, calculate the speed of the wave.
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 3
A circuit consists of a resistor $R$ and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, determine the reac\tance $X_C$ of the capacitor.
A. \( X_C = \frac{1}{omega C} \)
B. \( X_C = omega C \)
C. \( X_C = \frac{1}{omega C} + omega C \)
D. \( X_C = \frac{1}{omega C} - omega C \)
Question 4
A point charge of 2 μC is placed at the origin. What is the electric potential at a point 0.5 m away from the charge?
A. 100 V
B. 200 V
C. 300 V
D. 400 V
Question 5
A magnetic field of 2 T is applied to a coil of 100 turns. If the coil has a radius of 0.1 m, what is the magnetic flux through the coil?
A. 0.02 Wb
B. 0.04 Wb
C. 0.06 Wb
D. 0.08 Wb
Question 6
A magnetic field of 0.5 T is applied to a current-carrying wire of length 1 m. If the current is 2 A, what is the force on the wire?
A. 1 N
B. 2 N
C. 3 N
D. 4 N
Question 7
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. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 8
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is its angular velocity?
A. 10 rad/s
B. 20 rad/s
C. 30 rad/s
D. 40 rad/s
Question 9
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. 6 m/s^2
B. 8 m/s^2
C. 10 m/s^2
D. 12 m/s^2
Question 10
A 100 μF capacitor is connected in series with a 50 Ω resistor. What is the resonant frequency?
A. 100 Hz
B. 200 Hz
C. 300 Hz
D. 400 Hz
Question 11
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle experiences a force of 10 N, calculate 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 12
A 1000 Hz AC voltage source is connected in series with a 50 Ω resistor and a 200 μF capacitor. If the initial phase angle between the voltage and current is 30°, what is the impedance of the circuit?
A. 60 Ω
B. 70 Ω
C. 80 Ω
D. 90 Ω
Question 13
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an alternating voltage source of frequency $f$, determine the impedance $Z$ of the circuit.
A. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} )
B. \( Z = \sqrt{R^2 + \( X_L + X_C \ \)^2} )
C. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} + \sqrt{R^2 + \( X_L + X_C \)^2} )
D. \( Z = \sqrt{R^2 + \( X_L - X_C \ \)^2} - \sqrt{R^2 + \( X_L + X_C \)^2} )
Question 14
A 50 Hz AC voltage is applied across a 10 Ω resistor. What is the current flowing through the resistor?
A. 2 A
B. 5 A
C. 10 A
D. 20 A
Question 15
A particle of mass 0.1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. What is the centripetal force acting on the particle?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N

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