POST UTME ABU 2024 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A radioactive sample decays from 100g to 50g in 10 years. If the half-life of the sample is 5 years, what is the decay cons\tant?
A. 0.14
B. 0.07
C. 0.035
D. 0.017
Question 2
A 10 kg block is attached to a horizontal spring with a force cons\tant of 50 N/m. If the block is displaced by 1 m from its equilibrium position and released from rest, what is the frequency of the oscillations?
A. 1 Hz
B. 2 Hz
C. 3 Hz
D. 4 Hz
Question 3
A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the wavelength of the wave is 1.7 m, what is the amplitude of the wave?
A. 0.05 m
B. 0.1 m
C. 0.2 m
D. 0.5 m
Question 4
A lens of focal length $f$ forms an image of an object at a dis\tance $x$ from the lens. If the object is moved to a dis\tance $2x$, what is the new image dis\tance?
A. \frac{2x}{3}
B. \frac{3x}{2}
C. \frac{x}{2}
D. \frac{2x}{5}
Question 5
A 100V, 50Hz AC supply is connected to a 50Ω resistor. What is the rms current?
A. 1A
B. 2A
C. 5A
D. 10A
Question 6
A light ray passes through a prism with an angle of incidence of 30° and an angle of re\fraction of 20°. If the angle of the prism is 60°, what is the angle of the emergent ray?
A. 10°
B. 20°
C. 30°
D. 40°
Question 7
A sound wave with frequency 200Hz and amplitude 0.5m is traveling through air. What is the intensity of the sound wave?
A. 10^-8 W/m^2
B. 10^-7 W/m^2
C. 10^-6 W/m^2
D. 10^-5 W/m^2
Question 8
A wave has a frequency of 200 Hz and a wavelength of 0.5 m. If the wave is traveling at a speed of 100 m/s, what is the amplitude of the wave?
A. 0.25 m
B. 0.5 m
C. 0.75 m
D. 1 m
Question 9
A 5 kg object is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. If the object is subjected to a centripetal acceleration of 1 m/s^2, what is the magnitude of the net force acting on the object?
A. 10 N
B. 15 N
C. 20 N
D. 25 N
Question 10
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. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 11
A car of mass 1500 kg is traveling at a speed of 25 m/s. The driver applies the brakes, and the car comes to a stop in 4 s. Assuming the force of friction is cons\tant, calculate the average force of friction acting on the car.
A. 3750 N
B. 375 N
C. 3.75 N
D. 37500 N
Question 12
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If 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 13
A capacitor consists of two parallel plates, each with a surface area of 0.1 m^2. The dis\tance between the plates is 0.01 m. If a potential difference of 10 V is applied across the capacitor, what is the capaci\tance?
A. 10^-6 F
B. 10^-5 F
C. 10^-4 F
D. 10^-3 F
Question 14
A heat engine operates between two temperatures of 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. 0.33
C. 0.4
D. 0.5
Question 15
A 100 V AC supply is connected across a 50 Ω resistor. If the current through the resistor is 2 A, what is the power consumed by the resistor?
A. 50 W
B. 100 W
C. 200 W
D. 250 W

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