POST UTME OAU 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. Calculate the force acting on the body.
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 2
A particle of mass 1 kg is moving in a circular path of radius 2 m with a speed of 4 m/s. If the particle is subject to a centripetal force of 10 N, what is 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 3
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, calculate the acceleration.
A. 1 m/s^2
B. 2 m/s^2
C. 5 m/s^2
D. 10 m/s^2
Question 4
A capacitor is connected in series with a resistor and a battery. The capacitor has a capaci\tance of 2 μF and the battery has a voltage of 12 V. If the resistor has a resis\tance of 4 Ω, what is the current flowing through the circuit?
A. 1 A
B. 2 A
C. 3 A
D. 4 A
Question 5
A heat engine operates between the temperatures 300 K and 400 K. If the efficiency of the engine is 30%, calculate the work done per cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 6
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. If the block starts from rest, what is its velocity after 2 s?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 7
A point charge $q$ is placed at the center of a spherical shell of radius $R$. If a test charge $Q$ is brought near the shell, what is the electric potential $V$ at a dis\tance $r$ from the center of the shell?
A. \frac{kqQ}{r}
B. \frac{kqQ}{R}
C. \frac{kqQ}{r-R}
D. \frac{kqQ}{r+R}
Question 8
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the total resis\tance of the circuit?
A. 6 Ω
B. 8 Ω
C. 10 Ω
D. 12 Ω
Question 9
A solid cylindrical block of wood of radius 5 cm and height 10 cm is floating in water. If the density of wood is 0.8 g/cm³ and the density of water is 1 g/cm³, what is the volume of the block that is submerged?
A. 50 cm³
B. 75 cm³
C. 100 cm³
D. 125 cm³
Question 10
A block of mass $m$ is attached to a horizontal 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 maximum speed $v_{max}$ of the block?
A. \sqrt{\frac{kx^2}{m}}
B. \frac{kx^2}{m}
C. \frac{2kx^2}{m}
D. \frac{3kx^2}{m}
Question 11
A parallel plate capacitor has a capaci\tance of 20 μF. If the dis\tance between the plates is increased by a factor of 2, what is the new capaci\tance?
A. 10 μF
B. 20 μF
C. 40 μF
D. 80 μF
Question 12
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle has a speed of 4 m/s, what is its angular velocity?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 13
A light ray passes from air into a glass slab of re\fractive index $\mu = 1.5$. If the angle of incidence is $30^\circ$, what is the angle of re\fraction $\theta_r$?
A. 18^\circ
B. 20^\circ
C. 22^\circ
D. 25^\circ
Question 14
A 100 μC charge is moving at a speed of 2 m/s in a circular path of radius 1 m. If the charge is subject to a magnetic field of 0.5 T, what is the force on the charge?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 15
A capacitor of capaci\tance 10 μF is connected to a 12 V battery. If the battery is disconnected and the capacitor is connected to a 6 Ω resistor, what is the time cons\tant of the circuit?
A. 0.6 s
B. 1.2 s
C. 1.8 s
D. 2.4 s

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