POST UTME UNIOSUN 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of $C$ and is charged to a potential difference of $V$. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. \frac{C}{2}
B. 2C
C. \frac{C}{4}
D. C
Question 2
A capacitor is connected to a battery of voltage $V$ and has a capaci\tance of $C$. If the capacitor is disconnected from the battery and the voltage across it is measured to be $V/2$, what is the charge stored on the capacitor?
A. \frac{CV}{2}
B. CV
C. \frac{CV}{4}
D. \frac{CV}{8}
Question 3
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 momentum is $L$. If the particle's kinetic energy is $K$, what is the magnitude of the force $F$ exerted on the particle by the fixed point $O$?
A. The force $F$ is equal to the particle's weight.
B. The force $F$ is equal to the particle's kinetic energy $K$.
C. The force $F$ is equal to the particle's angular momentum $L$.
D. The force $F$ is equal to the particle's mass $m$ times its velocity $v$.
Question 4
A gas is confined to a cylinder of volume $V$ with a movable piston. If the temperature of the gas is $T$ and the pressure is $P$, what is the work $W$ done by the gas?
A. The work $W$ done by the gas is equal to the pressure $P$ times the change in volume $\Delta V$.
B. The work $W$ done by the gas is equal to the pressure $P$ divided by the change in volume $\Delta V$.
C. The work $W$ done by the gas is equal to the pressure $P$ minus the change in volume $\Delta V$.
D. The work $W$ done by the gas is equal to the pressure $P$ plus the change in volume $\Delta V$.
Question 5
A 10 kg object is moving in a straight line with a velocity of 5 m/s. What is its kinetic energy?
A. 25 J
B. 50 J
C. 75 J
D. 100 J
Question 6
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, calculate the current flowing through the circuit.
A. 2.5 A
B. 5.0 A
C. 10.0 A
D. 20.0 A
Question 7
A charged particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a magnetic field of strength $B$. The particle's velocity is $v$. What is the frequency of the particle's motion?
A. \frac{qB}{2\pi m}
B. \frac{2\pi m}{qB}
C. \frac{qB}{m}
D. \frac{m}{qB}
Question 8
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a velocity of 4 m/s, what is the centripetal acceleration of the particle?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 9
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. Assuming the acceleration due to gravity is 9.8 m/s^2, calculate the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s
Question 10
A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 45° to the horizontal. Assuming the acceleration due to gravity is 9.8 m/s^2, calculate the range of the projectile.
A. 20 m
B. 40 m
C. 60 m
D. 80 m
Question 11
A radioactive sample of $^{238}U$ has an initial activity of $A_0$. After $t$ years, the activity of the sample is $A$. What is the decay cons\tant of the sample?
A. \frac{1}{t} \ln\left\( \frac{A_0}{A} \right \)
B. \frac{1}{t} \ln\left\( \frac{A}{A_0} \right \)
C. \frac{A_0}{A} \ln\left\( \frac{1}{t} \right \)
D. \frac{A}{A_0} \ln\left\( \frac{1}{t} \right \)
Question 12
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ 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 13
A block of mass 10 kg is placed on a horizontal surface with a coefficient of friction of 0.5. What is the maximum force that can be applied to the block without cau\sing it to move?
A. 20 N
B. 30 N
C. 40 N
D. 50 N
Question 14
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. What is the magnitude of the net force acting on the particle?
A. \frac{mv^2}{r}
B. \frac{mv}{r}
C. \frac{m}{v}
D. \frac{v}{r}
Question 15
A \tank is filled with water to a height of 10 m. If the density of water is 1000 kg/m^3, what is the pressure at the bottom of the \tank?
A. 1000 Pa
B. 2000 Pa
C. 3000 Pa
D. 4000 Pa

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