POST UTME FUTA 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 capacitor, what is the charge on the positive plate?
A. 0.1 C
B. 0.2 C
C. 0.3 C
D. 0.4 C
Question 2
A capacitor consists of two parallel plates of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?
A. 10^-5 C
B. 10^-6 C
C. 10^-7 C
D. 10^-8 C
Question 3
A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. 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 4
A radioactive sample decays with a half-life of 10 years. If the initial activity of the sample is 100 Bq, what is the activity of the sample after 20 years?
A. 12.5 Bq
B. 25 Bq
C. 37.5 Bq
D. 50 Bq
Question 5
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 acceleration of the particle?
A. 0.5 m/s^2
B. 1 m/s^2
C. 2 m/s^2
D. 4 m/s^2
Question 6
A 100 V, 50 Hz AC voltage source is connected to a 20 Ω resistor. If the current through the resistor is 2 A, what is the power consumed by the resistor?
A. 100 W
B. 200 W
C. 50 W
D. 20 W
Question 7
A particle of mass 1 kg is confined to a one-dimensional box of length 1 m. What is the ground-state energy of the particle?
A. 6.025 x 10^-34 J
B. 6.025 x 10^-33 J
C. 6.025 x 10^-32 J
D. 6.025 x 10^-31 J
Question 8
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. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 9
A heat engine operates between two temperatures of 500 K and 300 K. If the efficiency of the engine is 30%, what is the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 10
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 11
A particle moves in a circular path with a cons\tant speed of 5 m/s. If the radius of the circle is 2 m, what is the magnitude of the acceleration of the particle?
A. 10 m/s^2
B. 20 m/s^2
C. 30 m/s^2
D. 40 m/s^2
Question 12
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 15 m
C. 20 m
D. 25 m
Question 13
A 10 g sample of radioactive material has a half-life of 10 minutes. If the initial activity is 1000 Bq, what is the activity after 20 minutes?
A. 500 Bq
B. 1000 Bq
C. 2000 Bq
D. 5000 Bq
Question 14
A gas is heated from 300 K to 400 K at cons\tant volume. What is the ratio of the final pressure to the initial pressure?
A. 1.33
B. 2.00
C. 3.00
D. 4.00
Question 15
A 1000 Ω resistor is connected in series with a 2000 Ω resistor. If a 10 V voltage source is connected across the combination, what is the current through the 1000 Ω resistor?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A

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