POST UTME ABU 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. What is the speed of the sound wave?
A. 300 m/s
B. 600 m/s
C. 900 m/s
D. 1200 m/s
Question 2
A ray of light passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 30°
C. 40°
D. 50°
Question 3
A sound wave with frequency $f$ is propagating through a medium with speed $v$. Find the time period of the wave.
A. \frac{1}{f}
B. f
C. \frac{v}{f}
D. \frac{f}{v}
Question 4
A 100 V AC supply is connected to a 50 Ω resistor. If the frequency of the supply is 50 Hz, what is the rms value of the current?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
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. What is the magnitude of the centripetal force acting on the particle?
A. 20 N
B. 24 N
C. 28 N
D. 32 N
Question 6
A block of mass 5 kg is susp\ended from a spring with spring cons\tant 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, 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 7
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by a \sinusoidal voltage source with amplitude $V_0$ and frequency $f$. Find the impedance of the circuit.
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. \frac{1}{\sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}}
C. \sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}
D. \frac{1}{\sqrt{R^2 - \( \omega L - \frac{1}{\omega C} \)^2}}
Question 8
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced by a dis\tance $x_0$ from its equilibrium position and released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 9
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 10
A radioactive sample decays at a rate of 0.05% per hour. If the initial activity of the sample is 1000 Bq, what is the activity after 5 hours?
A. 900 Bq
B. 950 Bq
C. 980 Bq
D. 990 Bq
Question 11
A particle of mass 0.50 kg is moving in a circular path of radius 0.20 m with a cons\tant speed of 2.0 m/s. If the particle is subjected to a centripetal force of 10 N, calculate the time taken for the particle to complete one revolution.
A. 0.50 s
B. 1.00 s
C. 1.50 s
D. 2.00 s
Question 12
A capacitor of capaci\tance 20 μF is connected in parallel with a resistor of resis\tance 10 Ω. If a voltage of 100 V is applied across the circuit, what is the current flowing through the capacitor?
A. 10 A
B. 20 A
C. 30 A
D. 40 A
Question 13
A block of mass 5 kg is moving with a speed of 10 m/s on a frictionless surface. If the block is subjected to a force of 20 N, what is the acceleration of the block?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 14
A heat engine operates between two reservoirs at temperatures 300 K and 500 K. If the efficiency of the engine is 30%, what is the work done per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 15
A sound wave has a frequency of 200 Hz and a speed of 340 m/s. If the amplitude of the wave is 0.01 m, what is the intensity of the wave?
A. 10^-3 W/m^2
B. 10^-4 W/m^2
C. 10^-5 W/m^2
D. 10^-6 W/m^2

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub: