POST UTME RHEMA UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A beam of light is incident on a glass plate at an angle of 45°. If the re\fractive index of the glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 35°
C. 40°
D. 45°
Question 2
A radioactive sample of Uranium-238 undergoes \alpha decay. If the initial mass of the sample is 100 g, and the mass of the \alpha particle is 4 u, what is the mass of the resulting Radium-226 nucleus?
A. 234 u
B. 238 u
C. 242 u
D. 246 u
Question 3
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -30 cm. What is the focal length of the combination?
A. 10 cm
B. 15 cm
C. 25 cm
D. 30 cm
Question 4
A heat engine operates between the temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 5
A body of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the path is 3 m, calculate the centripetal force acting on the body.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A light source is placed 3 m away from a convex lens with a focal length of 1 m. If the light source is moved 1 m closer to the lens, calculate the new image dis\tance.
A. 2 m
B. 2.5 m
C. 3 m
D. 3.5 m
Question 7
A 2 kg block of ice at 0°C is heated at a cons\tant rate of 100 J/s. What is the time taken for the ice to melt completely?
A. 10 s
B. 20 s
C. 30 s
D. 40 s
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 9
A quantum particle is confined to a one-dimensional box of length 2 m. If the particle has an energy of 10 eV, what is the wavelength of the particle?
A. 1.2 nm
B. 1.5 nm
C. 1.8 nm
D. 2.1 nm
Question 10
A beam of light is incident on a glass slab at an angle of 45°. If the re\fractive index of glass is 1.5, calculate the angle of re\fraction.
A. 30°
B. 45°
C. 60°
D. 75°
Question 11
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. It is displaced by 0.5 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \)
B. \( \omega = \frac{1}{2\pi} \sqrt{\frac{m}{k}} \)
C. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 - \frac{m}{k}} \)
D. \( \omega = \frac{1}{2\pi} \sqrt{\frac{k}{m}} \sqrt{1 + \frac{m}{k}} \)
Question 12
A heat engine operates between the temperatures 300 K and 600 K. If the efficiency of the engine is 30%, calculate the work done per cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 13
A current of 5 A flows through a wire with a resis\tance of 10 Ω. Find the power dissipated in the wire.
A. \( P = I^2R \)
B. \( P = IR \)
C. \( P = \frac{I^2R}{2} \)
D. \( P = \frac{IR}{2} \)
Question 14
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 magnitude of the current flowing through the 4 Ω resistor?
A. 1.5 A
B. 2 A
C. 2.5 A
D. 3 A
Question 15
A beam of light is incident on a glass plate at an angle of 60°. If the re\fractive index of the glass is 1.8, calculate the angle of re\fraction.
A. 40°
B. 45°
C. 50°
D. 55°

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