POST UTME UI 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block in the direction of motion, what is the work done by the force?
A. 20 J
B. 30 J
C. 40 J
D. 50 J
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a speed of 4 m/s. Calculate the centripetal force acting on the particle.
A. 12 N
B. 24 N
C. 36 N
D. 48 N
Question 3
A uniform magnetic field of magnitude 2 T is directed along the z-axis. A current-carrying wire of length 0.5 m is placed in the x-y plane, making an angle of 30° with the x-axis. If the current in the wire is 5 A, what is the magnitude of the magnetic force experienced by the wire?
A. 0.25 N
B. 0.5 N
C. 1 N
D. 2 N
Question 4
A 12 V battery is connected to a 4 Ω resistor. What is the current flowing through the resistor?
A. 1.0 A
B. 2.0 A
C. 3.0 A
D. 4.0 A
Question 5
A particle of mass 0.50 kg is moving in a circular path of radius 2.0 m with a cons\tant speed of 4.0 m/s. What is the magnitude of the net force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 6
A light ray passes through a convex lens of focal length $f$ and is incident at an angle $\theta$ to the principal axis. What is the angle of deviation?
A. \theta - \frac{\sin\theta}{f}
B. \theta + \frac{\sin\theta}{f}
C. \frac{\sin\theta}{f}
D. \theta + \frac{\sin\theta}{f^2}
Question 7
A parallel plate capacitor has plates of area $A$ and separation $d$. The capaci\tance is $C$. If the separation is doubled and the area is halved, what is the new capaci\tance?
A. \frac{C}{4}
B. \frac{C}{2}
C. C
D. 4C
Question 8
A 1000 Hz AC voltage source is connected to a 50 Ω resistor. If the maximum value of the voltage is 100 V, calculate the average power dissipated in the resistor.
A. 250 W
B. 500 W
C. 750 W
D. 1000 W
Question 9
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. If the particle is subjected to a uniform magnetic field of magnitude 2 T directed perp\endicular to the plane of the circular path, what is the magnitude of the magnetic force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 10
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 5 m/s. Calculate the centripetal acceleration of the particle.
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 11
A block of mass $m$ is attached to a horizontal, massless spring with spring cons\tant $k$. The block is displaced by a dis\tance $x$ from its equilibrium position and released from rest. Assuming the block undergoes simple harmonic motion, what is the angular frequency of the motion?
A. \( \sqrt{\frac{k}{m}} \)
B. \( \frac{k}{m} \)
C. \( \frac{m}{k} \)
D. \( \sqrt{\frac{m}{k}} \)
Question 12
A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 13
A 2 kg object is moving in a circular path with a speed of 4 m/s. If the radius of the circle is 1 m, what is the centripetal force acting on the object?
A. 8 N
B. 16 N
C. 32 N
D. 64 N
Question 14
A radioactive sample decays at a rate of 0.05% per hour. If the initial activity is 1000 Bq, what is the activity after 5 hours?
A. 500 Bq
B. 750 Bq
C. 1000 Bq
D. 1250 Bq
Question 15
A simple p\endulum of length $L$ and mass $m$ is released from rest at an angle $\theta$ to the vertical. What is the angular frequency?
A. \sqrt{\frac{g}{L}}
B. \sqrt{\frac{g}{L}}\sin\theta
C. \sqrt{\frac{g}{L}}\cos\theta
D. \sqrt{\frac{g}{L}}\tan\theta

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