POST UTME MADONNA UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 2
A radioactive sample decays at a rate of 5% per hour. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 2 hours?
A. 50 Bq
B. 86.5 Bq
C. 100 Bq
D. 150 Bq
Question 3
A 5 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A particle moves in a straight line with an initial velocity of 5 m/s. After 2 seconds, its velocity is 3 m/s. What is its acceleration?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 5
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. Calculate the magnitude of the force acting on the particle.
A. 16 N
B. 32 N
C. 48 N
D. 64 N
Question 6
A 50 Hz, 200 V AC supply is connected to a 100 Ω resistor. Calculate the power consumed by the resistor.
A. 200 W
B. 400 W
C. 600 W
D. 800 W
Question 7
A simple harmonic motion has a maximum displacement of 5 m and a frequency of 2 Hz. If the amplitude of the motion is 3 m, what is the angular frequency of the motion?
A. 10.2 rad/s
B. 12.57 rad/s
C. 15.1 rad/s
D. 18.5 rad/s
Question 8
A 2 kg object is moving in a circular path with a radius of 3 m. If the object has a speed of 4 m/s, calculate the centripetal force acting on the object.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. If a voltage of 120 V is applied across the circuit, what is the current flowing through the 10 Ω resistor?
A. 8 A
B. 12 A
C. 16 A
D. 20 A
Question 10
A 50 Hz AC generator produces an emf of 100 V. If the generator is connected to a 10 Ω resistor, calculate the current flowing through the resistor.
A. 5 A
B. 10 A
C. 15 A
D. 20 A
Question 11
A lens with focal length $f$ is used to form an image of an object at a dis\tance $d$. What is the magnification of the lens?
A. \( \frac{d}{f} \)
B. \( \frac{f}{d} \)
C. \( \frac{d - f}{f} \)
D. \( \frac{f - d}{f} \)
Question 12
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. 8 m/s^2
B. 12 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 13
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 1.25 A
B. 2.5 A
C. 5 A
D. 10 A
Question 14
A 10 μCi sample of radon-222 decays according to the first-order kinetics equation. If the half-life of radon-222 is 3.8 days, calculate the activity of the sample after 10 days.
A. 5 μCi
B. 7.5 μCi
C. 10 μCi
D. 12.5 μCi
Question 15
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by \( psi_1\( x \ \) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?
A. \( \frac{1}{8} \)
B. \( \frac{1}{4} \)
C. \( \frac{1}{2} \)
D. \( \frac{3}{4} \)

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