POST UTME ESUT 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across it, calculate the charge stored on each plate.
A. 10^{-3} C
B. 10^{-2} C
C. 10^{-1} C
D. 10^{0} C
Question 2
A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?
A. 220 Hz
B. 240 Hz
C. 260 Hz
D. 280 Hz
Question 3
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 4
A light ray 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. 18°
B. 20°
C. 22°
D. 25°
Question 5
A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. What is the work done by the gas?
A. 400 J
B. 800 J
C. 1200 J
D. 1600 J
Question 6
A parallel plate capacitor has plates of area 0.01 m^2 and separation 0.001 m. If the capaci\tance is 10 nF, what is the charge on the plates when the potential difference is 100 V?
A. 0.02 C
B. 0.001 C
C. 0.1 C
D. 0.05 C
Question 7
A 50 Hz, 200 V AC source is connected to a 100 Ω resistor. Calculate the rms value of the current flowing through the resistor.
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 8
A particle of mass 1 kg is moving in a simple harmonic motion with a frequency of 2 Hz and an amplitude of 0.5 m. What is the maximum speed of the particle?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 9
A 50 Hz AC voltage source is connected to a 20 Ω resistor. What is the impedance of the circuit?
A. 20 Ω
B. 40 Ω
C. 60 Ω
D. 80 Ω
Question 10
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 0.5 H. If the circuit is connected at t = 0, what is the current in the circuit at t = 2 s?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 11
A \tank is filled with water to a height of 10 m. If a hole of area 0.01 m^2 is drilled at the bottom of the \tank, calculate the rate at which the water level will drop after 5 minutes.
A. 0.05 m/min
B. 0.1 m/min
C. 0.15 m/min
D. 0.2 m/min
Question 12
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 1 atm. If the gas undergoes an isothermal process, calculate the work done by the gas.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 13
A wave of frequency 100 Hz and wavelength 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 14
A gas has a pressure of 100 kPa and a volume of 2 m³. What is the temperature of the gas?
A. 300 K
B. 400 K
C. 500 K
D. 600 K
Question 15
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 force acting on the particle?
A. 12 N
B. 24 N
C. 48 N
D. 96 N

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