POST UTME IMS U 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass $m$ is moving in a circular path with a radius of $r$ and a speed of $v$. Find the centripetal acceleration of the body.
A. \frac{v^2}{r}
B. \frac{r}{v^2}
C. \frac{m}{r}
D. \frac{r}{m}
Question 2
A uniform magnetic field of 2.5 T is applied to a coil of wire with 150 turns and a radius of 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the induced emf in the coil?
A. 0.25 V
B. 0.5 V
C. 1.0 V
D. 1.5 V
Question 3
A particle of mass 2 kg is attached to a spring with a spring cons\tant of 100 N/m. If the particle is displaced by 0.5 m from its equilibrium position and released from rest, what is the maximum speed of the particle?
A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 5 m/s
Question 4
A radioactive sample decays with a half-life of $t_{1/2} = 10$ minutes. If the initial activity of the sample is $A_0 = 100$ Bq, what is the activity of the sample after $t = 20$ minutes?
A. 12.5
B. 25
C. 50
D. 100
Question 5
A 100 V AC supply is connected to a 20 Ω resistor. If the current in the circuit is 2 A, what is the power consumed by the resistor?
A. 200 W
B. 400 W
C. 600 W
D. 800 W
Question 6
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 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 0.5 m/s
B. 1.0 m/s
C. 1.5 m/s
D. 2.0 m/s
Question 7
A heat engine operates between a high-temperature reservoir at 500 K and a low-temperature reservoir at 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 1500 J
B. 1200 J
C. 900 J
D. 600 J
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. If the particle is subjected to a centripetal force of 12 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 9
A gas is confined to a cylinder of volume 0.1 m^3. If the gas is heated from 300 K to 400 K, what is the change in the number of moles of the gas?
A. 0.1 mol
B. 0.2 mol
C. 0.3 mol
D. 0.4 mol
Question 10
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 11
A vector $\vec{a}$ has a magnitude of $5$ units and makes an angle of $30^\circ$ with the positive $x$-axis. Find the $y$-component of $\vec{a}$.
A. 5 \sin 30^\circ
B. 5 \cos 30^\circ
C. 5 \tan 30^\circ
D. 5 \csc 30^\circ
Question 12
A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 13
A heat engine operates between two temperatures $T_1$ and $T_2$, where $T_1 > T_2$. Find the efficiency of the engine.
A. 1 - \frac{T_2}{T_1}
B. \frac{T_2}{T_1}
C. T_1 - T_2
D. T_2 - T_1
Question 14
A sound wave with a frequency of 200 Hz has a speed of 340 m/s. What is the wavelength of the sound wave?
A. 1.7 m
B. 1.4 m
C. 1.1 m
D. 0.8 m
Question 15
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 2 atm, what is the final pressure?
A. 1.33 atm
B. 2.0 atm
C. 2.67 atm
D. 3.33 atm

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