POST UTME OAU 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 acceleration of 2 m/s^2, what is the magnitude of the net force acting on the particle?
A. 4 N
B. 8 N
C. 12 N
D. 16 N
Question 2
A 5 Ω resistor is connected in parallel with a 10 Ω resistor. If a 12 V battery is connected across the combination, what is the current flowing through the 5 Ω resistor?
A. 1.2 A
B. 2.4 A
C. 3.6 A
D. 4.8 A
Question 3
A uniform magnetic field of 2 T is applied to a coil of 100 turns and radius 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the maximum value of the induced emf?
A. 0.7854 V
B. 1.5708 V
C. 3.1416 V
D. 6.2832 V
Question 4
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, determine the current flowing through the 5 Ω resistor.
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 5
A capacitor consists of two plates, each of area 0.01 m^2, separated by a dis\tance of 0.001 m. If the capaci\tance is 10 nF, determine the energy stored in the capacitor when a potential difference of 5 V is applied across it.
A. 25 μJ
B. 50 μJ
C. 100 μJ
D. 200 μJ
Question 6
A body at a temperature of 27°C is heated by a body at a temperature of 127°C. What is the change in entropy of the system?
A. 10 J/K
B. 20 J/K
C. 30 J/K
D. 40 J/K
Question 7
A wave function is given by ψ(x) = Ae^\( -αx^2 \). If the wave function is normalized, determine the value of α.
A. 0.01
B. 0.1
C. 1
D. 10
Question 8
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.2 m from its equilibrium position and released from rest, determine the angular frequency of the resulting simple harmonic motion.
A. 5 rad/s
B. 10 rad/s
C. 20 rad/s
D. 50 rad/s
Question 9
A particle of mass 2 kg is projected from the origin with an initial velocity of 10 m/s at an angle of 60° to the horizontal. What is the time taken for the particle to reach its maximum height?
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
Question 10
A particle of mass 1 kg is moving in a circular path of radius 0.5 m with a speed of 2 m/s. If the particle is subject to a centripetal force of 10 N, determine the angular velocity of the particle.
A. 4 rad/s
B. 8 rad/s
C. 16 rad/s
D. 32 rad/s
Question 11
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 12
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the circuit is closed, what is the current flowing through the 4 Ω resistor?
A. 2 A
B. 3 A
C. 4 A
D. 6 A
Question 13
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capacitor is charged to a potential difference of 10 V. What is the capaci\tance of the capacitor?
A. 0.1 F
B. 0.2 F
C. 0.3 F
D. 0.4 F
Question 14
A magnetic field of 0.1 T is applied to a coil of 100 turns. The coil has a resis\tance of 10 Ω and an induc\tance of 0.1 H. What is the time cons\tant of the coil?
A. 0.01 s
B. 0.1 s
C. 1 s
D. 10 s
Question 15
A current of 2 A flows through a resistor of 10 Ω. What is the power dissipated by the resistor?
A. 20 W
B. 40 W
C. 60 W
D. 80 W

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