POST UTME COAL CITY UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 5 V. If the dis\tance between the plates is doubled, what is the new capaci\tance?
A. 5 μF
B. 10 μF
C. 20 μF
D. 40 μF
Question 2
A radioactive sample decays from 100 g to 50 g in 10 years. Calculate the half-life of the sample.
A. 5 years
B. 10 years
C. 15 years
D. 20 years
Question 3
A 5 μF capacitor is connected in series with a 10 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant?
A. 0.2 s
B. 0.5 s
C. 1 s
D. 2 s
Question 4
A gas is contained in a cylinder of volume 2 L at a pressure of 100 kPa. If the temperature is increased by 20°C, what is the new pressure?
A. 120 kPa
B. 140 kPa
C. 160 kPa
D. 180 kPa
Question 5
A container of volume 0.05 m³ is filled with air at a pressure of 1.5 atm. If the temperature of the air is increased by 20°C, what is the new pressure?
A. 2.0 atm
B. 2.5 atm
C. 3.0 atm
D. 3.5 atm
Question 6
A concave mirror of focal length -10 cm is placed in contact with a convex mirror of focal length 15 cm. What is the focal length of the combination?
A. -5 cm
B. -10 cm
C. -15 cm
D. -20 cm
Question 7
A 100 W bulb is connected to a 220 V mains supply. What is the resis\tance of the bulb?
A. 400 Ω
B. 800 Ω
C. 1000 Ω
D. 1200 Ω
Question 8
A wave function is given by \psi(x) = Ae^{ikx}. Calculate the probability density of the wave function.
A. |A|^2
B. A^2
C. A^3
D. A^4
Question 9
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 5 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, calculate the current flowing through the circuit.
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 10
A particle of mass 1 kg is moving in a circular path of radius 0.5 m with a cons\tant speed of 5 m/s. If the particle is subject to a uniform gravitational field of 10 m/s², calculate the force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 11
A 2 kg block is attached to a horizontal spring with a force cons\tant of 100 N/m. The block is displaced by 0.5 m from its equilibrium position and released from rest. What is the maximum speed of the block?
A. 1 m/s
B. 2 m/s
C. 3 m/s
D. 4 m/s
Question 12
A 2 kg block is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.1 m from its equilibrium position and released, what is the maximum speed?
A. 0.5 m/s
B. 1 m/s
C. 2 m/s
D. 5 m/s
Question 13
A particle of mass 2 kg moves in a circular path with radius 3 m and speed 4 m/s. Calculate the centripetal force acting on the particle.
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 14
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 5 m/s. If the particle is subjected to a magnetic field of strength 1 T, what is the magnitude of the magnetic force acting on the particle?
A. 6 N
B. 8 N
C. 10 N
D. 12 N
Question 15
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 5 μF capacitor. Calculate the time cons\tant of the circuit.
A. 0.1 s
B. 0.2 s
C. 0.3 s
D. 0.4 s

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