POST UTME FUTA 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 Ω resistor is connected in parallel with a 20 Ω resistor. If a potential difference of 10 V is applied across the circuit, what is the equivalent resis\tance of the circuit?
A. 5 Ω
B. 10 Ω
C. 15 Ω
D. 20 Ω
Question 2
A particle of mass m is moving in a circular path of radius r with a cons\tant speed v. What is the magnitude of the force acting on the particle?
A. mv^2/r
B. mv^2
C. mr^2
D. mv^3
Question 3
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 angular velocity of the particle?
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 4
A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a potential difference of 12 V is applied across the circuit, what is the current flowing through the 20 Ω resistor?
A. 0.4 A
B. 0.6 A
C. 0.8 A
D. 1.2 A
Question 5
A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. If the wavelength of the sound wave is 1.7 m, what is the amplitude of the sound wave?
A. 0.27 m
B. 0.5 m
C. 0.8 m
D. 1.1 m
Question 6
A projectile is launched at an angle of 45° with an initial velocity of 20 m/s. If the air resis\tance is negligible, what is the maximum height reached by the projectile?
A. 10 m
B. 20 m
C. 30 m
D. 40 m
Question 7
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 particle's acceleration?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 8
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 9
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. 10 m/s^2
B. 12 m/s^2
C. 15 m/s^2
D. 20 m/s^2
Question 10
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 11
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. If the wave is traveling in the positive x-direction, what is the direction of the particle velocity?
A. positive x-direction
B. negative x-direction
C. positive y-direction
D. negative y-direction
Question 12
A heat engine operates between two reservoirs at temperatures 500 K and 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, what is the efficiency of the engine?
A. 0.2
B. 0.3
C. 0.4
D. 0.5
Question 13
A particle of mass 2 kg is moving in a circular path with a radius of 5 m. If the particle has a speed of 10 m/s, what is the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 14
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, what is the acceleration of the body?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 15
A circuit consists of a resistor R and an inductor L in series. If the current is i(t) = I_0e^{-t/τ}, what is the voltage across the inductor?
A. -L\frac{I_0}{τ}e^{-t/τ}
B. L\frac{I_0}{τ}e^{-t/τ}
C. -L\frac{I_0}{τ}
D. L\frac{I_0}{τ}

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