POST UTME UNIPORT 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If it experiences a cons\tant acceleration of 2 m/s^2, what is its velocity after 3 seconds?
A. 7 m/s
B. 9 m/s
C. 11 m/s
D. 13 m/s
Question 2
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 3
A 100 μF capacitor is connected in series with a 200 Ω resistor and a 10 V battery. If the switch is closed at t = 0, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 4
A sound wave has a frequency of 200 Hz and a wavelength of 5 m. Calculate the speed of the sound wave.
A. 1000 m/s
B. 2000 m/s
C. 3000 m/s
D. 4000 m/s
Question 5
A wave of frequency $f$ and wavelength $\lambda$ is traveling through a medium with speed $v$. If the wave's amplitude is $A$ and its phase angle is $\phi$, find the wave's intensity.
A. \frac{1}{2}\rho\omega^2A^2\lambda
B. \frac{1}{2}\rho\omega^2A^2\lambda^2
C. \frac{1}{2}\rho\omega^2A^2\lambda^3
D. \frac{1}{2}\rho\omega^2A^2\lambda^4
Question 6
A radioactive sample has a half-life of $T_{1/2}$. If the sample's initial activity is $A_0$ and its decay cons\tant is $\lambda$, find the sample's activity at time $t$.
A. A_0e^{-\lambda t}
B. A_0e^{\lambda t}
C. A_0e^{-\lambda t^2}
D. A_0e^{\lambda t^2}
Question 7
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
A. 12 m/s^2
B. 15 m/s^2
C. 18 m/s^2
D. 20 m/s^2
Question 8
A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the image formed is real and inverted, what is the magnification of the lens?
A. -2
B. -1
C. 1
D. 2
Question 9
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 $omega$ of the particle's motion.
A. \frac{1}{\sqrt{m}}
B. \sqrt{\frac{m}{k}}
C. \frac{k}{m}
D. \sqrt{\frac{k}{m}}
Question 10
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 acceleration of 2 m/s^2, what is the magnitude of the force acting on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N
Question 11
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. What is the speed of the sound wave?
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 12
A gas is contained in a cylinder of volume $V$ at a temperature $T$. The gas is heated, cau\sing its temperature to increase to $T + \Delta T$. Find the new volume $V'$ of the gas.
A. V \left\( 1 - \frac{\Delta T}{T}\right \)
B. V \left\( 1 + \frac{\Delta T}{T}\right \)
C. V \left\( 1 - \frac{T}{\Delta T}\right \)
D. V \left\( 1 + \frac{T}{\Delta T}\right \)
Question 13
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. Calculate the magnitude of the force acting on the particle u\sing the equation F = \( m * v^2 \) / r.
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 14
A beam of light passes from air into a glass of re\fractive index $n$. Find the angle of re\fraction $\theta'$.
A. \sin \theta' = \frac{n_2}{n_1} \sin \theta
B. \sin \theta' = \frac{n_1}{n_2} \sin \theta
C. \sin \theta' = \frac{n_2}{n_1} \cos \theta
D. \sin \theta' = \frac{n_1}{n_2} \cos \theta
Question 15
A particle is moving in a simple harmonic motion with a frequency of 2 Hz. If the amplitude is 5 m, what is the maximum velocity?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s

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