POST UTME PAN-ATLANTIC UNIVERSITY 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 2 kg block is moving with a velocity of 5 m/s on a frictionless surface. If a force of 15 N is applied to the block, what is the acceleration of the block?
A. 3 m/s^2
B. 5 m/s^2
C. 7.5 m/s^2
D. 10 m/s^2
Question 2
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. What is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 3
A block of wood is floating in water. If the block has a volume of 0.5 m^3 and a density of 500 kg/m^3, what is the buoyant force acting on the block?
A. 250 N
B. 500 N
C. 750 N
D. 1000 N
Question 4
A gas is enclosed in a container with a movable piston. The gas is heated, cau\sing its temperature to increase. Which of the following best describes the change in the gas's pressure?
A. The pressure remains cons\tant.
B. The pressure increases exponentially.
C. The pressure increases linearly with temperature.
D. The pressure decreases as the gas expands.
Question 5
A 10 μC charge is placed at the center of a hollow, conducting sphere of radius 0.1 m. Calculate the electric field at a dis\tance of 0.05 m from the center of the sphere.
A. 10^4 N/C
B. 10^5 N/C
C. 10^6 N/C
D. 10^7 N/C
Question 6
A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If a force of 10 N is applied to the particle, what is the acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 7
A parallel-plate capacitor has a capaci\tance of 10.0 µF and is charged to a potential difference of 50.0 V. If the capacitor is disconnected from the battery and the plates are then pulled apart by a dis\tance of 2.00 cm, what is the new capaci\tance?
A. 5.00 µF
B. 10.0 µF
C. 20.0 µF
D. 30.0 µF
Question 8
A parallel plate capacitor has a capaci\tance of 2 μF and is charged to a potential difference of 10 V. If a dielectric material with a dielectric cons\tant of 3 is inserted between the plates, what is the new capaci\tance?
A. 6 μF
B. 8 μF
C. 10 μF
D. 12 μF
Question 9
A particle of mass 0.1 kg is attached to a spring with a force cons\tant of 10 N/m. The particle is displaced by 0.1 m from its equilibrium position and released from rest. Assuming the particle undergoes simple harmonic motion, calculate the time period of the motion.
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s
Question 10
A 5.0-m long wire carries a current of 2.0 A. If the wire is bent into a circular loop of radius 0.50 m, what is the magnetic field $B$ at the center of the loop?
A. \( B = \frac{\mu_0 I}{2r} \)
B. \( B = \frac{\mu_0 I}{r} \)
C. \( B = \frac{\mu_0 I}{4r} \)
D. \( B = \frac{\mu_0 I}{8r} \)
Question 11
A heat engine operates between two temperatures $T_1 = 500 K$ and $T_2 = 300 K$. If the engine produces 500 J of work, what is its efficiency $\eta$?
A. \( \eta = \frac{W}{Q_1} \)
B. \( \eta = \frac{Q_1 - W}{Q_1} \)
C. \( \eta = \frac{Q_1}{Q_1 - W} \)
D. \( \eta = \frac{W}{Q_1 - W} \)
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 60° above the horizontal. If air resis\tance is neglected, calculate the maximum height reached.
A. 10.0 m
B. 20.0 m
C. 30.0 m
D. 40.0 m
Question 13
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. What is the magnitude of the force acting on the particle?
A. 2 N
B. 4 N
C. 6 N
D. 8 N
Question 14
A 100 W light bulb is connected to a 230 V power source. If the bulb is used for 5 hours a day, calculate the total energy consumed in a month (30 days).
A. 900 kWh
B. 1000 kWh
C. 1100 kWh
D. 1200 kWh
Question 15
A 5.00 kg object is attached to a horizontal, massless rope that passes over a pulley. If the object is pulled with a force of 20.0 N, what is the acceleration of the object?
A. 0.400 m/s²
B. 0.600 m/s²
C. 0.800 m/s²
D. 1.00 m/s²

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