POST UTME FUTO 2022 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current in the circuit is 0.5 A, what is the voltage across the 6 Ω resistor?
A. 3 V
B. 6 V
C. 9 V
D. 12 V
Question 2
A light ray passes from air into a glass slab of re\fractive index 1.5. If the angle of incidence is 30°, calculate the angle of re\fraction.
A. 20°
B. 25°
C. 30°
D. 35°
Question 3
A resistor of 10 Ω and an inductor of 20 mH are connected in series. If a voltage source of 20 V is applied across the circuit, calculate the current in the circuit after 5 seconds.
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 4
A simple harmonic motion has a period $T$ and amplitude $A$. If the motion is described by the equation $x(t) = A\cos\left\( \frac{2\pi t}{T}\right \)$, find the angular frequency $\omega$.
A. \omega = \frac{2\pi}{T}
B. \omega = \frac{T}{2\pi}
C. \omega = \frac{A}{2\pi}
D. \omega = \frac{2\pi A}{T}
Question 5
A wave has a frequency of 50 Hz and a wavelength of 0.2 m. What is the speed of the wave?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 6
A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor with induc\tance $L$. If the circuit is connected at time $t = 0$, find the current $I(t)$ in the circuit as a function of time $t$.
A. I(t) = \frac{12}{4 + \frac{L}{t}}
B. I(t) = \frac{12}{4 - \frac{L}{t}}
C. I(t) = \frac{12}{4 + \frac{L}{t^2}}
D. I(t) = \frac{12}{4 - \frac{L}{t^2}}
Question 7
A light source is placed 2 m away from a convex lens of focal length 0.5 m. If the light source is moved 1 m closer to the lens, calculate the new image dis\tance.
A. 1.5 m
B. 2 m
C. 3 m
D. 4 m
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 force of 12 N, what is the magnitude of the acceleration of the particle?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 9
A particle of mass 3 kg is moving in a circular path of radius 4 m with a cons\tant speed of 5 m/s. If the particle is subjected to a centripetal force of 15 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 5 m/s^2
C. 7 m/s^2
D. 9 m/s^2
Question 10
A projectile is launched at an angle of 60° above the horizontal 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. 15 m
C. 20 m
D. 25 m
Question 11
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 12
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. 0.5
B. 1.0
C. 1.5
D. 2.0
Question 13
A car travels from point A to point B with an average speed of 60 km/h. If the dis\tance between points A and B is 240 km, what is the time taken by the car to travel from point A to point B?
A. 4 hours
B. 6 hours
C. 8 hours
D. 10 hours
Question 14
A force of 10 N acts on a body of mass 5 kg. If the body is moving in a circular path of radius 2 m, what is the magnitude of the centripetal 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 heat engine operates between two temperatures 300 K and 600 K. If the efficiency of the engine is 30%, what will be the work done by the engine per cycle?
A. 100 J
B. 200 J
C. 300 J
D. 400 J

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