POST UTME PAN-ATLANTIC UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. If a dielectric material of permittivity $\epsilon$ is inserted between the plates, what is the new capaci\tance?
A. \frac{\epsilon A}{d}
B. \frac{\epsilon A}{d^2}
C. \frac{\epsilon^2 A}{d}
D. \frac{\epsilon A^2}{d}
Question 2
A gas is heated from 20°C to 50°C at cons\tant pressure. Calculate the change in volume.
A. 10 cm³
B. 15 cm³
C. 20 cm³
D. 25 cm³
Question 3
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the circuit?
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 4
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, 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 5
A 10 μF capacitor is connected in parallel with a 20 μF capacitor. Calculate the equivalent capaci\tance of the circuit.
A. 10 μF
B. 20 μF
C. 30 μF
D. 40 μF
Question 6
A 60 Hz AC generator produces a voltage of 120 V. If the current is 10 A, what is the power consumed by the generator?
A. 1200 W
B. 1500 W
C. 1800 W
D. 2000 W
Question 7
A beam of light passes through a convex lens and is focused. If the focal length of the lens is 20 cm and the object dis\tance is 30 cm, what is the image dis\tance?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
Question 8
A 100 W light bulb is connected to a 220 V power source. If the resis\tance of the bulb is 100 ohms, what is the current flowing through the bulb?
A. 0.5 A
B. 1 A
C. 2 A
D. 4 A
Question 9
A capacitor consists of two parallel plates of area $A$ separated by a dis\tance $d$. The plates are charged to a potential difference $V$. If a dielectric material of permittivity $\epsilon$ is inserted between the plates, what is the new capaci\tance?
A. \frac{\epsilon A}{d}
B. \frac{\epsilon A}{d^2}
C. \frac{\epsilon^2 A}{d}
D. \frac{\epsilon A^2}{d}
Question 10
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 11
A parallel plate capacitor consists of two plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. The capaci\tance of the capacitor is 10 nF. If a potential difference of 10 V is applied across the plates, calculate the energy stored in the capacitor.
A. 0.1 J
B. 1 J
C. 10 J
D. 100 J
Question 12
A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 13
A sound wave with a frequency of 200 Hz is emitted from a source and reflected off a stationary wall. If the speed of sound in air is 343 m/s, what is the wavelength of the reflected sound wave?
A. 1.7 m
B. 1.9 m
C. 2.1 m
D. 2.3 m
Question 14
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current through the circuit is 2 A, what is the voltage across the 6 Ω resistor?
A. 8 V
B. 10 V
C. 12 V
D. 14 V
Question 15
A 2 kg block of ice at 0°C is placed in a 10°C water bath. Assuming the specific heat capacity of ice is 2090 J/(kg·K) and the specific heat capacity of water is 4186 J/(kg·K), calculate the time it takes for the ice to melt completely.
A. 10 minutes
B. 20 minutes
C. 30 minutes
D. 40 minutes

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