POST UTME CHRISTOPHER UNIVERSITY 2019 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
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
Question 3
A nucleus has a mass number of 238 and an atomic number of 92. What is the number of protons in the nucleus?
A. 92
B. 238
C. 146
D. 0
Question 4
A s\tanding wave is formed on a string of length 2 m with a frequency of 50 Hz. If the wave is observed to have 5 nodes, what is the wavelength of the wave?
A. 0.4 m
B. 0.6 m
C. 0.8 m
D. 1.0 m
Question 5
A parallel plate capacitor has plates of area $A$ and separation $d$. If a potential difference of $V$ is applied across the capacitor, what is the capaci\tance?
A. \( \frac{epsilon_0 A}{d} \)
B. \( \frac{epsilon_0 A}{V} \)
C. \( \frac{A}{epsilon_0 d} \)
D. \( \frac{V}{epsilon_0 A} \)
Question 6
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. Find the magnitude of the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 7
A 2.5 m long wire with a resis\tance of 5 Ω is connected in series with a 10 Ω resistor and a 15 V battery. U\sing Kirchhoff's laws, find the current flowing through the 5 Ω resistor.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 8
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. If the particle is displaced by a dis\tance $x$ from its equilibrium position and released from rest, find the equation of motion of the particle. Assume that the motion is simple harmonic.
A. \( x(t) = A\cos\( \omega t + \phi \)
B. \( x(t) = A\sin\( \omega t + \phi \)
C. \( x(t) = A\cos\( \omega t \)
D. \( x(t) = A\sin\( \omega t \)
Question 9
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 10
A particle of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. It experiences a force of 20 N due to friction. 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 11
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 s
B. 2 s
C. 3 s
D. 4 s
Question 12
A heat engine operates between two reservoirs at temperatures $T_1$ and $T_2$. If the engine absorbs heat $Q_1$ from the high-temperature reservoir and rejects heat $Q_2$ to the low-temperature reservoir, find the efficiency of the engine.
A. \( \eta = \frac{Q_1 - Q_2}{Q_1} \)
B. \( \eta = \frac{Q_1}{Q_1 - Q_2} \)
C. \( \eta = \frac{Q_2}{Q_1 - Q_2} \)
D. \( \eta = \frac{Q_1 + Q_2}{Q_1} \)
Question 13
A block of mass 5 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 14
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 15
A radioactive sample emits \alpha particles with a half-life of 5 days. If the initial activity is 100 Bq, what is the activity after 10 days?
A. 50 Bq
B. 25 Bq
C. 12.5 Bq
D. 6.25 Bq

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