POST UTME OSUSTECH 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between the temperatures 500 K and 300 K. If the efficiency of the engine is 30%, calculate the work done per cycle.
A. 100 J
B. 150 J
C. 200 J
D. 250 J
Question 2
A 5 μF capacitor is connected in series with a 10 kΩ resistor and a 20 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?
A. 0.2 s
B. 0.5 s
C. 1 s
D. 2 s
Question 3
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium of speed $v$. If the wave is reflected from a fixed point, what is the speed of the reflected wave?
A. 2v
B. v
C. \frac{v}{2}
D. \frac{v}{\sqrt{2}}
Question 4
A particle of mass $m$ is moving in a simple harmonic motion with angular frequency $\omega$. If the particle's kinetic energy is $K$, what is its potential energy $U$?
A. \frac{1}{2}m\omega^2A^2
B. \frac{1}{2}m\omega^2A
C. \frac{1}{2}m\omega^2
D. \frac{1}{2}mA^2
Question 5
A particle of mass 1 kg is moving in a circular path with a cons\tant speed of 3 m/s. If the radius of the circle is 2 m, what is the magnitude of the particle's acceleration?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 6
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, what is the magnitude of the particle's acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 0.5 m. Calculate the angular frequency.
A. 4\pi rad/s
B. 6\pi rad/s
C. 8\pi rad/s
D. 10\pi rad/s
Question 8
A gas at 300 K expands from 1 L to 2 L against a cons\tant external pressure of 2 atm. Calculate the work done by the gas.
A. 1.5 kJ
B. 2.5 kJ
C. 3.5 kJ
D. 4.5 kJ
Question 9
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the path is 2 m, calculate the centripetal acceleration.
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ around a fixed point $O$. The particle's velocity is $v$ and its angular velocity is $omega$. If the particle's kinetic energy is $K$, what is its potential energy $U$?
A. \frac{1}{2}mv^2
B. \frac{1}{2}mv^2 + \frac{k}{r}
C. \frac{1}{2}mv^2 - \frac{k}{r}
D. \frac{k}{r}
Question 11
A 100 W bulb is connected to a 220 V mains supply. Calculate the current drawn by the bulb.
A. 0.45 A
B. 0.50 A
C. 0.55 A
D. 0.60 A
Question 12
A 1000 Hz tuning fork is placed in a glass container filled with air. Calculate the frequency of the tuning fork.
A. 1000 Hz
B. 1200 Hz
C. 1400 Hz
D. 1600 Hz
Question 13
A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a force cons\tant of 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. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 14
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 15
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
A. 12 m/s^2
B. 18 m/s^2
C. 24 m/s^2
D. 36 m/s^2

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