POST UTME FUTA 2024 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 with a radius of 3 m. If the particle's angular velocity is 4 rad/s, what is its linear velocity?
A. 12 m/s
B. 16 m/s
C. 20 m/s
D. 24 m/s
Question 2
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in parallel. What is the total resis\tance?
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 3
A particle of mass 5 kg is moving in a circular path of radius 4 m with a cons\tant speed of 3 m/s. If the particle is subjected to a centripetal acceleration of 1.5 m/s^2, what is the force exerted on the particle?
A. 7.5 N
B. 10 N
C. 12.5 N
D. 15 N
Question 4
A body of mass 5 kg is moving with a velocity of 10 m/s. If the body is subjected to a force of 20 N, calculate the acceleration of the body.
A. 4 m/s^2
B. 4 m/s^2
C. 4 m/s^2
D. 4 m/s^2
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 10 N, what is the magnitude of the acceleration of the particle?
A. 12 m/s^2
B. 8 m/s^2
C. 16 m/s^2
D. 20 m/s^2
Question 6
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 50 V battery. If the switch is closed at time t = 0, what is the current in the circuit at time t = 5 s?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 7
A circuit consists of a 10 Ω resistor and a 20 μF capacitor connected in series across a 20 V AC supply. If the frequency of the supply is 100 Hz, calculate the current flowing through the circuit.
A. 0.707 A
B. 0.707 A
C. 0.707 A
D. 0.707 A
Question 8
A 2 kg block is moving in a circular path of radius 0.5 m with a speed of 4 m/s. What is the magnitude of the centripetal force?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 9
A sound wave has a frequency of 200 Hz and a wavelength of 1.5 m. If the wave is traveling through a medium with a speed of 340 m/s, what is the amplitude of the wave?
A. 0.01 m
B. 0.1 m
C. 1 m
D. 10 m
Question 10
A capacitor is connected in parallel with a 20 μF capacitor and a 10 kΩ resistor. If the voltage across the resistor is 12 V, what is the charge on the capacitor?
A. 0.02 C
B. 0.04 C
C. 0.06 C
D. 0.08 C
Question 11
A particle of mass 2 kg is moving in a circular path with a radius of 3 m. If the particle's velocity is 4 m/s, what is the magnitude of the centripetal acceleration?
A. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 12
A 10 V battery is connected in series with a 5 ohm resistor and a 10 ohm resistor. What is the current flowing through the 10 ohm resistor?
A. 0.5 A
B. 1.0 A
C. 1.5 A
D. 2.0 A
Question 13
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). If the probability of finding the particle in the region x = 0 to x = 1 is 0.5, what is the value of α?
A. 0.1
B. 0.5
C. 1
D. 2
Question 14
A 200 Ω resistor is connected in series with a 100 μF capacitor across a 20 V AC supply. If the frequency of the supply is 50 Hz, calculate the impedance of the circuit.
A. 282.84 Ω
B. 282.84 Ω
C. 282.84 Ω
D. 282.84 Ω
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 is subjected to 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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