POST UTME CHRISTOPHER UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2.0 m long p\endulum is released from rest at an angle of 30° to the vertical. Find the time taken for the p\endulum to complete one oscillation.
A. 1.0 s
B. 1.5 s
C. 2.0 s
D. 2.5 s
Question 2
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 3
A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 1000 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 4
A beam of light is incident on a surface at an angle of incidence $\theta_i$. If the surface is polished, what is the angle of reflection?
A. $\theta_i$
B. $\theta_i + 90^\circ$
C. $\theta_i - 90^\circ$
D. $\theta_i + 180^\circ$
Question 5
A heat engine operates between two temperatures of 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 6
A particle moves in a circular path with a radius of 2 m. If it completes one revolution in 4 s, what is its angular velocity?
A. 0.5 rad/s
B. 1 rad/s
C. 2 rad/s
D. 4 rad/s
Question 7
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If the projectile lands 10 m away from the launch point, what is the time of flight?
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s
Question 8
A wave with a frequency of 100 Hz and a wavelength of 0.1 m is traveling through a medium. If the wave has a speed of 50 m/s, what is the amplitude of the wave?
A. 0.01 m
B. 0.02 m
C. 0.03 m
D. 0.04 m
Question 9
A particle of mass $m$ is moving in a circular orbit of radius $R$ under the influence of a central force given by $F(r) = \frac{k}{r^2}$, where $k$ is a cons\tant. If the particle's speed is $v$, what is the total energy of the particle?
A. $\frac{1}{2}mv^2$
B. $\frac{1}{2}mv^2 - \frac{k}{R}$
C. $\frac{1}{2}mv^2 + \frac{k}{R}$
D. $\frac{1}{2}mv^2 - \frac{k}{R^2}$
Question 10
A charged particle of mass $m$ and charge $q$ is moving in a uniform magnetic field of strength $B$. If the particle has an initial velocity $v_0$ perp\endicular to the magnetic field, find the equation of motion of the particle.
A. \( x(t) = \frac{qB}{m}t \)
B. \( x(t) = \frac{qB}{m}t^2 \)
C. \( x(t) = \frac{qB}{m} \)
D. \( x(t) = \frac{qB}{m}e^{t} \)
Question 11
A 5 kg block is moving with a velocity of 2 m/s on a frictionless surface. If a force of 10 N is applied to the block, what is its new velocity?
A. 2.5 m/s
B. 3.0 m/s
C. 3.5 m/s
D. 4.0 m/s
Question 12
A gas is contained in a cylinder of volume $V$ with a movable piston. The gas is heated, cau\sing its temperature to increase by $\Delta T$. If the gas is ideal, what is the change in its internal energy?
A. $nC_v \Delta T$
B. $nC_p \Delta T$
C. $nR \Delta T$
D. $nC_v \Delta T + nR \Delta T$
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. 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 14
A gas expands from an initial volume of 2 L to a final volume of 5 L against an external pressure of 2 atm. If the gas undergoes an isothermal process, what is the work done by the gas?
A. 200 J
B. 400 J
C. 600 J
D. 800 J
Question 15
A system is in thermal equilibrium with its surroundings. If the temperature of the surroundings is increased by 10°C, what happens to the entropy of the system?
A. It decreases
B. It increases
C. It remains the same
D. It becomes zero

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