POST UTME LEAD CITY UNIVERSITY 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample of Uranium-238 undergoes \alpha decay. If the half-life of Uranium-238 is 4.5 billion years, what is the decay cons\tant (λ) in s^-1?
A. 1.54 x 10^-18 s^-1
B. 1.54 x 10^-17 s^-1
C. 1.54 x 10^-16 s^-1
D. 1.54 x 10^-15 s^-1
Question 2
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, calculate the current flowing through the circuit.
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1 A
Question 3
A gas is confined to a cylinder of volume 2.5 L at a temperature of 300 K. If the gas is heated to 400 K, and the volume is increased to 5 L, calculate the work done by the gas.
A. 100 J
B. 200 J
C. 500 J
D. 1000 J
Question 4
A convex lens of focal length 20 cm forms an image of an object at a dis\tance of 30 cm. What is the magnification of the lens?
A. 0.5
B. 1
C. 2
D. 3
Question 5
A block of mass 2 kg is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 1.0 m/s
B. 2.0 m/s
C. 3.0 m/s
D. 4.0 m/s
Question 6
A 2 kg object is moving in a circular path with a cons\tant speed of 4 m/s. The object is subject to a centripetal force of 12 N. What is the magnitude of the acceleration of the object?
A. 1.5 m/s^2
B. 2.0 m/s^2
C. 2.5 m/s^2
D. 3.0 m/s^2
Question 7
A sound wave with a frequency of 200 Hz has a wavelength of 1.5 m. What is the speed of the sound wave?
A. 150 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 8
A heat engine operates between a temperature of 500 K and 300 K. What is the maximum efficiency of the engine?
A. 0.4
B. 0.5
C. 0.6
D. 0.7
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. The particle is subject to a centripetal force of 12 N. What is the magnitude of the acceleration of the particle?
A. 1.5 m/s^2
B. 2.0 m/s^2
C. 2.5 m/s^2
D. 3.0 m/s^2
Question 10
A 100 V, 5 A current source is connected to a 10 ohm resistor in series with a 15 ohm resistor. What is the current through the 15 ohm resistor?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 11
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine produces 500 J of work per cycle, calculate the efficiency of the engine.
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 12
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, calculate the magnitude of the acceleration of the particle.
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 13
A parallel plate capacitor has plates of area 0.1 m^2 and separation 0.01 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 10^-9 F
B. 10^-8 F
C. 10^-7 F
D. 10^-6 F
Question 14
A 5 kg block is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the block is subjected to a centripetal force of 10 N, what is the magnitude of the force?
A. 8 N
B. 10 N
C. 12 N
D. 15 N
Question 15
A charged particle of mass 1 kg and charge 2 C is moving in a magnetic field of strength 0.5 T. If the particle is moving with a speed of 3 m/s, calculate the force experienced by the particle.
A. 0.5 N
B. 1 N
C. 2 N
D. 3 N

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