POST UTME COAL CITY UNIVERSITY 2018 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A magnetic field of 0.5 T is directed perp\endicular to a wire carrying a current of 2 A. Calculate the force on a 0.1 m length of the wire.
A. 0.1 N
B. 0.2 N
C. 0.3 N
D. 0.4 N
Question 3
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 4
A gas occupies a volume of 2.5 L at a pressure of 1.5 atm and a temperature of 300 K. Calculate the new volume if the pressure is doubled and the temperature is increased to 400 K.
A. 1.25 L
B. 2.5 L
C. 5 L
D. 10 L
Question 5
A convex lens of focal length 20 cm is placed in contact with a concave lens of focal length -15 cm. What is the focal length of the combination?
A. -10 cm
B. -15 cm
C. -20 cm
D. -25 cm
Question 6
A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?
A. 20 Bq
B. 40 Bq
C. 60 Bq
D. 80 Bq
Question 7
A sound wave with frequency 200 Hz and amplitude 0.5 m travels through a medium with speed 340 m/s. Calculate the wavelength of the wave.
A. 1.7 m
B. 1.8 m
C. 1.9 m
D. 2.0 m
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 heat engine operates between a temperature of 500 K and a temperature of 300 K. Calculate the efficiency of the engine.
A. 0.25
B. 0.5
C. 0.75
D. 0.9
Question 10
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 11
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 12
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 13
A parallel plate capacitor consists of two plates, each of area 0.1 m², separated by a dis\tance of 0.01 m. If the capaci\tance is 10 nF, calculate the charge stored on the capacitor when a potential difference of 5 V is applied across it.
A. 50 nC
B. 100 nC
C. 150 nC
D. 200 nC
Question 14
A particle of mass 2 kg is projected from the origin with an initial velocity of 20 m/s at an angle of 60° to the horizontal. If the particle is subject to a uniform gravitational field of 10 m/s², calculate the time taken for the particle to reach its maximum height.
A. 1.5 s
B. 2.0 s
C. 2.5 s
D. 3.0 s
Question 15
A 50 Hz AC voltage is applied across a 10 Ω resistor. What is the rms value of the current?
A. 2 A
B. 5 A
C. 10 A
D. 20 A

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