POST UTME ESUT 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A vector \vec{A} has a magnitude of 3 units and makes an angle of 60° with the x-axis. Calculate the x and y components of \vec{A}.
A. A_x = 1.5, A_y = 2.598
B. A_x = 2.598, A_y = 1.5
C. A_x = 3, A_y = 0
D. A_x = 0, A_y = 3
Question 2
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 3
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 4
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 5
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 6
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 7
A block of copper with a mass of 2 kg is heated from 20°C to 80°C. If the specific heat capacity of copper is 0.385 J/g°C, what is the energy required to heat the block?
A. 240 J
B. 480 J
C. 720 J
D. 960 J
Question 8
A 10 V battery is connected in series with a 5 Ω resistor and a 2 Ω resistor. The current in the circuit is 0.5 A. What is the potential difference across the 5 Ω resistor?
A. 2.5 V
B. 5 V
C. 7.5 V
D. 10 V
Question 9
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 10
A magnetic field of 0.5 T is directed along the z-axis. A current of 2 A flows in a circular loop of radius 0.1 m. Calculate the magnetic moment of the loop.
A. 0.0628 A m^2
B. 0.1256 A m^2
C. 0.25 A m^2
D. 0.5 A m^2
Question 11
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 12
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 13
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 14
A photon of wavelength 500 nm is incident on a metal surface. If the work function of the metal is 2.5 eV, what is the maximum kinetic energy of the emitted electron?
A. 1.25 eV
B. 1.5 eV
C. 1.75 eV
D. 2.0 eV
Question 15
A 5 kg block is attached to a horizontal 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, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s

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