POST UTME FUTA 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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 2
A capacitor of capaci\tance 10 μF is connected in series with a resistor of resis\tance 20 Ω. If a voltage of 50 V is applied across the circuit, what is the current flowing through the circuit?
A. 0.25 A
B. 0.5 A
C. 1 A
D. 2 A
Question 3
A circuit consists of a 10 Ω resistor and a 20 μF capacitor connected in series. If a voltage of 50 V is applied across the circuit, what is the time cons\tant of the circuit?
A. 0.2 s
B. 0.5 s
C. 1 s
D. 2 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 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. What is the equivalent resis\tance of the circuit?
A. 60 Ω
B. 70 Ω
C. 80 Ω
D. 90 Ω
Question 6
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
Question 7
A particle of mass 1 kg is moving in a circular path of radius 2 m with a cons\tant speed of 3 m/s. If the particle is subject to a centripetal force of 6 N, what is the magnitude of the force?
A. 5 N
B. 6 N
C. 7 N
D. 8 N
Question 8
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 9
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 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. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 11
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 12
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 13
A sound wave with a frequency of 200 Hz and an amplitude of 0.01 m is traveling through a medium with a speed of 343 m/s. What is the wavelength of the sound wave?
A. 1.71 m
B. 1.72 m
C. 1.73 m
D. 1.74 m
Question 14
A particle of mass $m$ is moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a centripetal force $F_c = \frac{mv^2}{r}$, what is the work done by this force in moving the particle through a dis\tance $s$?
A. $W = \frac{1}{2}mv^2$
B. $W = mv^2$
C. $W = \frac{mv^2}{r}$
D. $W = \frac{1}{2}mv^2 + mv^2$
Question 15
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

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