POST UTME COVENANT UNIVERSITY 2019 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 the particle is subjected to a 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 2
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 and then released from rest. Assuming the motion is simple harmonic, find the angular frequency ω of the particle's motion.
A. \\omega = \\frac{1}{\\sqrt{m}}
B. \\omega = \\sqrt{\\frac{m}{k}}
C. \omega = \frac{k}{m}
D. \\omega = \\sqrt{\\frac{k}{m}}
Question 3
A light source is placed at a dis\tance d from a convex lens of focal length f. If the image is formed at a dis\tance u from the lens, find the magnification m of the lens.
A. m = \frac{u}{v} = \frac{d}{f}
B. m = \frac{v}{u} = \frac{f}{d}
C. m = \frac{u}{v} = \frac{f}{d}
D. m = \frac{v}{u} = \frac{d}{f}
Question 4
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. Find the centripetal force F acting on the particle.
A. F = \frac{mv}{r}
B. F = \frac{mv^2}{r}
C. F = \frac{mr^2}{v}
D. F = \frac{mv}{r^2}
Question 5
A capacitor of capaci\tance 10 μF is connected to a battery of voltage 12 V. If the capacitor is initially uncharged, what is the charge on the capacitor after 5 seconds?
A. 0.12 C
B. 0.24 C
C. 0.36 C
D. 0.48 C
Question 6
A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by (psi(x) = \sqrt{\frac{2}{L}} \sinleft\( \frac{pi x}{L}\right \)). If the particle is in the ground state, what is the probability that it will be found between $x = 0$ and $x = \frac{L}{4}$?
A. \frac{1}{2}
B. \frac{1}{4}
C. \frac{1}{8}
D. \frac{1}{16}
Question 7
A vector A has a magnitude of 5 units and makes an angle of 30° with the positive x-axis. If a vector B has a magnitude of 3 units and makes an angle of 60° with the positive x-axis, what is the magnitude of the resul\tant vector A + B?
A. 6.4 units
B. 7.1 units
C. 7.9 units
D. 8.5 units
Question 8
A magnetic field of strength 0.5 T is directed perp\endicular to the plane of a circular loop of radius 0.1 m. What is the magnitude of the magnetic moment of the loop?
A. 0.01 A·m^2
B. 0.02 A·m^2
C. 0.03 A·m^2
D. 0.04 A·m^2
Question 9
A simple harmonic motion is described by the equation x(t) = 2\cos\( 3t + \phi \). If the amplitude of the motion is 2 units and the phase angle is \phi = \frac{\pi}{6}, what is the angular frequency of the motion?
A. 1.5 rad/s
B. 2.0 rad/s
C. 2.5 rad/s
D. 3.0 rad/s
Question 10
A magnetic field of magnitude $B$ is directed perp\endicular to the plane of a circular loop of wire of radius $r$. If a current of $I$ flows through the loop, what is the magnitude of the magnetic moment of the loop?
A. I r^2
B. I r
C. I r^3
D. I r^4
Question 11
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 37.5 Bq
D. 50 Bq
Question 12
A convex lens of focal length 20 cm forms an image of an object placed 30 cm in front of it. What is the magnification of the lens?
A. -1/2
B. -1/3
C. -1/4
D. -1/5
Question 13
A nucleus of mass number $A$ and atomic number $Z$ undergoes \beta decay. If the neutrino has an energy $E$ and the electron has a kinetic energy $K$, what is the energy of the antineutrino?
A. E_{\bar{\nu}} = E - K
B. E_{\bar{\nu}} = K - E
C. E_{\bar{\nu}} = \frac{E}{K}
D. E_{\bar{\nu}} = \frac{K}{E}
Question 14
A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed of $v$. If the particle is subject to a centripetal force of magnitude $F_c$, what is the angular momentum of the particle?
A. m v^2 r
B. m v r
C. m v^2
D. m v^3
Question 15
A sound wave with a frequency of $f$ is emitted by a source moving at a speed of $v$ in the positive $x$-direction. If the speed of sound in the medium is $c$, what is the Doppler shift in the frequency of the sound wave as observed by an observer at rest?
A. f left\( \frac{v}{c-v} \right \)
B. f left\( \frac{c+v}{c-v} \right \)
C. f left\( \frac{c-v}{c+v} \right \)
D. f left\( \frac{c}{c-v} \right \)

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