POST UTME UNILAG 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A heat engine operates between two heat reservoirs at temperatures $T_1 = 500,K$ and $T_2 = 300,K$. If the engine produces 500,J of work in one cycle, what is its efficiency?
A. 0.4
B. 0.6
C. 0.8
D. 0.9
Question 2
A block of mass 5 kg is susp\ended from a spring with a spring cons\tant of 100 N/m. If the block is displaced by 2 m from its equilibrium position, what is the potential energy stored in the spring?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 3
A convex lens of focal length $f = 20,cm$ forms an image of an object at a dis\tance $u = 30,cm$ from the lens. What is the magnification of the image?
A. M = -0.5
B. M = -1
C. M = -1.5
D. M = -2
Question 4
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 force of 12 N, what is the magnitude of the force?
A. 8 N
B. 12 N
C. 16 N
D. 20 N
Question 5
A heat engine operates between the temperatures 300 K and 600 K. If the efficiency of the engine is 30%, calculate the work done by the engine in one cycle.
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 6
A wave has a frequency of 100 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 50 m/s
B. 100 m/s
C. 150 m/s
D. 200 m/s
Question 7
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in parallel. If the current in the 4 Ω resistor is 2 A, calculate the current in the 6 Ω resistor.
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 8
A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 20 V. If the plates are then separated by a dis\tance of 5 mm, what is the new capaci\tance?
A. 20 μF
B. 30 μF
C. 40 μF
D. 50 μF
Question 9
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with an induc\tance of 0.5 H. The circuit is closed at time t = 0. Assuming the current is zero at t = 0, calculate the current in the circuit at time t = 2 s.
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 10
A 100 W heater is connected to a 220 V AC supply. If the power factor is 0.8, what is the current drawn by the heater?
A. 0.5 A
B. 0.625 A
C. 0.75 A
D. 1 A
Question 11
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. 20 cm
C. 30 cm
D. 60 cm
Question 12
A sound wave of frequency $f = 200,Hz$ and amplitude $A = 0.5,m$ travels through a medium with speed $v = 340,m/s$. What is the intensity of the sound wave?
A. I = 10^{-3},W/m^2
B. I = 10^{-2},W/m^2
C. I = 10^{-1},W/m^2
D. I = 10^{0},W/m^2
Question 13
A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 50 Bq
D. 100 Bq
Question 14
A magnetic field of strength $B = 0.5,T$ is applied to a current-carrying wire of length $L = 1,m$ and resis\tance $R = 10,\Omega$. What is the force experienced by the wire?
A. F = 5,N
B. F = 10,N
C. F = 15,N
D. F = 20,N
Question 15
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 experiences a centripetal acceleration of 2 m/s^2, what is the force exerted on the particle?
A. 8 N
B. 10 N
C. 12 N
D. 16 N

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