POST UTME UNIOSUN 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2 m from its equilibrium position and released, what is its maximum kinetic energy?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 2
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 3
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its centripetal acceleration?
A. 12 m/s^2
B. 24 m/s^2
C. 36 m/s^2
D. 48 m/s^2
Question 4
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 5
A simple harmonic oscillator has a mass of $m$ and a spring cons\tant of $k$. The oscillator's amplitude is $A$. What is the oscillator's angular frequency?
A. \sqrt{\frac{k}{m}}
B. \sqrt{\frac{m}{k}}
C. \frac{k}{m}
D. \frac{m}{k}
Question 6
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 7
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 8
A block of mass 5 kg is attached to a spring with a spring cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum velocity of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 9
A beam of light passes through a prism and is re\fracted. If the angle of incidence is $30^\circ$ and the angle of re\fraction is $40^\circ$, what is the angle of deviation?
A. 10^\circ
B. 20^\circ
C. 30^\circ
D. 40^\circ
Question 10
A particle moves in a straight line with an initial velocity of 5 m/s. After 2 s, its velocity is 3 m/s. What is the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 11
A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 1.33
B. 1.5
C. 1.67
D. 2.0
Question 12
A radioactive sample has a half-life of $t_{1/2}$. If the initial activity is $A_0$ and the time elapsed is $t$, what is the activity $A$ of the sample?
A. The activity $A$ is equal to the initial activity $A_0$ times the ratio $t/t_{1/2}$.
B. The activity $A$ is equal to the initial activity $A_0$ divided by the ratio $t/t_{1/2}$.
C. The activity $A$ is equal to the initial activity $A_0$ minus the ratio $t/t_{1/2}$.
D. The activity $A$ is equal to the initial activity $A_0$ plus the ratio $t/t_{1/2}$.
Question 13
A 100 V, 50 Hz AC voltage source is connected to a 50 Ω resistor. What is the rms current flowing through the resistor?
A. 2 A
B. 4 A
C. 6 A
D. 8 A
Question 14
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. 400 m/s
C. 500 m/s
D. 600 m/s
Question 15
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}

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