POST UTME IMS U 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, what is its maximum speed?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 2
A particle of mass 1 kg is moving in a simple harmonic motion with a frequency of 2 Hz. If the amplitude of the motion is 5 m, what is the maximum speed of the particle?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 3
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 4
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 5
A block of mass 5 kg is susp\ended from a spring with a spring cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is the maximum speed of the block as a function of time?
A. \omega = \sqrt{\frac{200}{5}}
B. \omega = \sqrt{\frac{5}{200}}
C. \omega = \sqrt{\frac{200}{5}} \sin\( \omega t \)
D. \omega = \sqrt{\frac{5}{200}} \cos\( \omega t \)
Question 6
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 7
A particle of mass 1 kg is moving in a straight line with a velocity of 3 m/s. If a cons\tant force of 2 N is applied to the particle, what is its acceleration?
A. 0.5 m/s^2
B. 1 m/s^2
C. 1.5 m/s^2
D. 2 m/s^2
Question 8
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 9
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
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 12 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 20 μF
B. 10 μF
C. 5 μF
D. 2.5 μF
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 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 13
A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. The circuit is driven by an alternating voltage source with a frequency of $\omega$. Find the impedance of the circuit.
A. \sqrt{R^2 + \( \omega L - \frac{1}{\omega C} \)^2}
B. R + \omega L - \frac{1}{\omega C}
C. R - \omega L + \frac{1}{\omega C}
D. \frac{1}{R} + \frac{1}{\omega L} + \frac{1}{\omega C}
Question 14
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 15
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. What is the time of flight?
A. 2.0 s
B. 4.0 s
C. 6.0 s
D. 8.0 s

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