POST UTME EKSU 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A force of 10 N is applied to an object of mass 2 kg. What is the acceleration of the object?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 2
A \tank is filled with water to a height of 10 m. What is the pressure at the bottom of the \tank?
A. 100 kPa
B. 200 kPa
C. 300 kPa
D. 400 kPa
Question 3
A simple p\endulum consists of a point mass $m$ attached to a massless string of length $L$. If the p\endulum is released from rest at an angle $\theta$ to the vertical, find the angular frequency $\omega$ of the p\endulum.
A. \( \sqrt{\frac{g}{L}} \)
B. \( \sqrt{\frac{L}{g}} \)
C. \( \frac{g}{L} \)
D. \( \frac{L}{g} \)
Question 4
A point charge of +2 μC is placed at the center of a conducting sphere. What is the electric flux through the sphere?
A. \( Phi_E = \frac{q}{epsilon_0} \)
B. \( Phi_E = \frac{q}{4piepsilon_0} \)
C. \( Phi_E = \frac{q}{4piepsilon_0R^2} \)
D. \( Phi_E = \frac{q}{4piepsilon_0R} \)
Question 5
A beam of light is incident on a glass plate at an angle of incidence $\theta_i$. The re\fracted beam is observed to be at an angle of re\fraction $\theta_r$. If the re\fractive index of the glass is $n_g$, find the angle of incidence $\theta_i$ in terms of $\theta_r$ and $n_g$.
A. \frac{n_g \sin \theta_r}{\sin \theta_r}
B. \frac{\sin \theta_r}{n_g \sin \theta_r}
C. \frac{n_g \sin \theta_r}{n_g \sin \theta_r}
D. \frac{\sin \theta_r}{n_g \sin \theta_r}
Question 6
A particle of mass 1 kg is moving in a straight line with a velocity of 3 m/s. If the particle is subject to a force of 6 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A block of mass $m$ is placed on a frictionless surface and connected to a horizontal spring of spring cons\tant $k$. If the block is displaced by a dis\tance $x$ from its equilibrium position and released, find the frequency $f$ of the resulting simple harmonic motion.
A. \( \frac{1}{2\pi}\sqrt{\frac{k}{m}} \)
B. \( \frac{1}{2\pi}\sqrt{\frac{m}{k}} \)
C. \( \frac{k}{2\pi m} \)
D. \( \frac{m}{2\pi k} \)
Question 8
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 centripetal acceleration?
A. 12 m/s^2
B. 16 m/s^2
C. 20 m/s^2
D. 24 m/s^2
Question 9
A car of mass 1500 kg is traveling at a speed of 25 m/s when the brakes are applied. If the car is brought to rest in a dis\tance of 50 m, what is the magnitude of the acceleration of the car?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. If the particle is subject to a centripetal force $F_c$, find the magnitude of the force $F_c$ in terms of $m$, $r$, and $v$.
A. \frac{mv^2}{r}
B. \frac{mv^2}{2r}
C. \frac{mv^2}{3r}
D. \frac{mv^2}{4r}
Question 11
A particle of mass 2 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subject to a centripetal force of 20 N, what is the magnitude of the acceleration of the particle?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 12
A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wave is reflected off a surface, what is the frequency of the reflected wave?
A. 200 Hz
B. 400 Hz
C. 600 Hz
D. 800 Hz
Question 13
A coil of wire with 100 turns is placed in a magnetic field of strength 2 T. The coil has a radius of 0.1 m. What is the induced emf in the coil?
A. 0.2 V
B. 0.4 V
C. 0.6 V
D. 0.8 V
Question 14
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. \( v_{max} = \sqrt{\frac{kx^2}{m}} \)
B. \( v_{max} = \sqrt{\frac{mgx}{k}} \)
C. \( v_{max} = \sqrt{\frac{mg}{k}} \)
D. \( v_{max} = \sqrt{\frac{k}{mg}} \)
Question 15
A charge of 2 C is moving with a velocity of 5 m/s in a magnetic field of strength 1 T. If the charge is positive, what is the force acting on it?
A. 10 N
B. 20 N
C. 30 N
D. 40 N

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