POST UTME UI 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A convex lens of focal length $f = 20$ cm forms an image of an object at a dis\tance $u = 30$ cm. What is the magnification of the lens?
A. -0.5
B. -1
C. 1
D. 2
Question 2
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density of the particle?
A. A^2e^\( -2αx^2 \)
B. A^2e^\( -αx^2 \)
C. A^2e^\( αx^2 \)
D. A^2e^\( -2αx^4 \)
Question 3
A gas at $25^circ$C and $1.0 \times 10^5$ Pa is heated to $50^circ$C at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 2
B. 4
C. 1
D. 0.5
Question 4
A quantum particle has a wave function given by \psi(x) = Ae^{-ikx}. If the particle is observed at x = 0, what is the probability of finding the particle at that point?
A. 0
B. 1
C. A^2
D. e^{-2ikx}
Question 5
A charged particle of mass $m$ and charge $q$ is moving in a magnetic field $B$ with velocity $v$. Determine the force exerted on the particle.
A. q\vec{v} \times \vec{B}
B. \vec{v} \times \vec{B}
C. q\vec{B}
D. \vec{B} \times \vec{v}
Question 6
A wave with amplitude $A$ and frequency $f$ is described by the equation $y(x,t) = A \sin\( kx - \omega t \)$. Determine the wavelength of the wave.
A. \frac{2\pi}{k}
B. \frac{k}{2\pi}
C. \frac{\omega}{2\pi}
D. \frac{f}{2\pi}
Question 7
A wave has a frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
A. 250 m/s
B. 500 m/s
C. 750 m/s
D. 1000 m/s
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 wave with a frequency of 100 Hz and a wavelength of 0.5 m is traveling through a medium. If the wave is reflected from a fixed \end, what is the new wavelength of the wave?
A. 0.25 m
B. 0.5 m
C. 1 m
D. 2 m
Question 10
A simple harmonic motion has a maximum displacement of 2.0 m and a period of 4.0 s. What is the angular frequency of the motion?
A. 0.50 rad/s
B. 1.0 rad/s
C. 1.5 rad/s
D. 2.0 rad/s
Question 11
A radioactive sample decays from 100 mg to 50 mg in 10 minutes. What is the half-life \( t1/2 \) of the sample?
A. 5 min
B. 10 min
C. 15 min
D. 20 min
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A \sinusoidal voltage source has a maximum voltage of $10$ V and a frequency of $50$ Hz. What is the rms voltage?
A. 5
B. 7.07
C. 10
D. 14.14
Question 14
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. in the positive x-direction
B. in the negative x-direction
C. perp\endicular to the wave
D. in the positive y-direction
Question 15
A particle of mass 2.0 kg is moving in a circular path of radius 1.5 m with a speed of 4.0 m/s. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N

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