POST UTME SUMMIT UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. What is the ground-state energy of the particle?
A. E_1 = \frac{h^2}{4mL^2}
B. E_1 = \frac{h^2}{8mL^2}
C. E_1 = \frac{h^2}{16mL^2}
D. E_1 = \frac{h^2}{32mL^2}
Question 2
A 100 W light bulb is connected to a 240 V power source. What is the current drawn from the power source?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 3
A simple harmonic motion has a maximum displacement of 0.5 m and a period of 2 s. If the motion starts from its equilibrium position, what is the amplitude of the motion?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 4
A spring with spring cons\tant $k$ is stretched by a dis\tance $x$. What is the magnitude of the force exerted by the spring on the object attached to it?
A. \( kx \)
B. \( \frac{k}{x} \)
C. \( \frac{k}{x^2} \)
D. \( k^2x \)
Question 5
A magnetic field of 0.5 T is applied to a current-carrying wire of length 2 m and radius 0.1 m. If the current in the wire is 5 A, what is the magnitude of the force exerted on the wire?
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
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 magnetic field of strength 0.5 T is directed perp\endicular to a current-carrying wire of length 2 m. If the current in the wire is 2 A, what is the magnitude of the force acting on the wire?
A. 0.5 N
B. 1 N
C. 1.5 N
D. 2 N
Question 8
A sound wave with a frequency of 200 Hz and a wavelength of 0.5 m is traveling through a medium with a speed of 340 m/s. What is the amplitude of the wave?
A. 0.1 m
B. 0.2 m
C. 0.3 m
D. 0.4 m
Question 9
A Carnot engine operates between 500 K and 300 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.25
B. 0.30
C. 0.35
D. 0.40
Question 10
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subject to a centripetal force $F_c$, what is the equation of the force?
A. \( F_c = \frac{mv^2}{r} \)
B. \( F_c = \frac{mv}{r} \)
C. \( F_c = \frac{m}{r^2} \)
D. \( F_c = \frac{m^2}{r} \)
Question 11
A particle of mass 1 kg is moving in a straight line with an initial velocity of 5 m/s. If the particle experiences a cons\tant acceleration of 2 m/s^2, what is the velocity of the particle after 3 seconds?
A. 7 m/s
B. 9 m/s
C. 11 m/s
D. 13 m/s
Question 12
A magnetic field of 0.5 T is applied to a coil of 100 turns. If the coil has an area of 0.01 m^2, what is the magnetic moment of the coil?
A. 0.005 A·m^2
B. 0.01 A·m^2
C. 0.015 A·m^2
D. 0.02 A·m^2
Question 13
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is its angular momentum?
A. 6 kg m^2/s
B. 12 kg m^2/s
C. 24 kg m^2/s
D. 48 kg m^2/s
Question 14
A unit of length is defined as the dis\tance between two consecutive points on a ruler. What is the length of the unit?
A. 1 meter
B. 1 centimeter
C. 1 millimeter
D. 1 kilometer
Question 15
A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is the total energy of the particle?
A. $\frac{1}{2}mv^2 + \frac{k}{r}$
B. $\frac{1}{2}mv^2 - \frac{k}{r}$
C. $\frac{1}{2}mv^2 + \frac{k}{r^2}$
D. $\frac{1}{2}mv^2 - \frac{k}{r^2}$

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