POST UTME FUTO 2020 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A wave of frequency $f$ and amplitude $A$ is propagating through a medium with a speed $v$. If the wave is reflected from a fixed \end, calculate the amplitude of the reflected wave.
A. $A$
B. $2A$
C. $A/2$
D. $A/4$
Question 2
A series RLC circuit has a resis\tance of 10 Ω, an inductive reac\tance of 20 Ω, and a capacitive reac\tance of 15 Ω. If the circuit is connected to a 50 V AC source, calculate the impedance of the circuit.
A. 20 Ω
B. 25 Ω
C. 30 Ω
D. 35 Ω
Question 3
A block of mass 2 kg is attached to a horizontal spring with a spring cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, calculate the maximum speed of the block.
A. 0.5 m/s
B. 1 m/s
C. 1.5 m/s
D. 2 m/s
Question 4
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and then released from rest. Assuming the motion is simple harmonic, find the time period of the particle's motion.
A. 2\pi \sqrt{\frac{m}{k}}
B. \pi \sqrt{\frac{m}{k}}
C. \sqrt{\frac{m}{k}}
D. \frac{m}{k}
Question 5
A capacitor consists of two parallel plates, each of area 0.04 m² and separated by a dis\tance of 0.02 m. If the plates are charged to a potential difference of 12 V, what is the energy stored in the capacitor?
A. 0.24 J
B. 0.36 J
C. 0.48 J
D. 0.60 J
Question 6
A wave of wavelength $\lambda$ and frequency $f$ is traveling through a medium with speed $v$. If the wave is reflected from a fixed \end, what is the amplitude of the reflected wave?
A. 0
B. \frac{1}{2} A_0
C. A_0
D. 2 A_0
Question 7
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. What is the magnitude of the force acting on the particle due to the centripetal acceleration?
A. 16 N
B. 32 N
C. 48 N
D. 64 N
Question 8
A quantum particle of mass $m$ is confined to a one-dimensional box of length $L$. If the particle's energy is $E$, calculate the particle's momentum.
A. $\sqrt{2mE}$
B. $\sqrt{2mE} pi$
C. $\sqrt{2mE} \frac{pi}{L}$
D. $\sqrt{2mE} \frac{L}{pi}$
Question 9
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?
A. 0.2 m/s^2
B. 0.5 m/s^2
C. 1 m/s^2
D. 2 m/s^2
Question 10
A capacitor of capaci\tance 100 μF is charged to a potential difference of 10 V. What is the energy stored in the capacitor?
A. 1 J
B. 2 J
C. 3 J
D. 4 J
Question 11
A body of mass 10 kg is moving with a velocity of 5 m/s. If it is subjected to a force of 20 N, what is the acceleration produced?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 12
A coil of wire with 100 turns is placed in a magnetic field with a flux density of 0.5 T. If the coil has a radius of 0.1 m, calculate the induced emf when the flux through the coil changes at a rate of 2 Wb/s.
A. 0.1 V
B. 0.5 V
C. 1 V
D. 2 V
Question 13
A body of mass 5 kg is moving with a velocity of 10 m/s. If it is subjected to a force of 20 N, what is the acceleration of the body?
A. 2 m/s²
B. 4 m/s²
C. 6 m/s²
D. 8 m/s²
Question 14
A particle of mass $m$ is attached to a spring with spring cons\tant $k$. The particle is displaced from its equilibrium position by a dis\tance $x_0$ and then released from rest. Assuming the motion is simple harmonic, find the angular frequency of the particle's motion.
A. \sqrt{\frac{k}{m}}
B. \frac{k}{m}
C. \frac{m}{k}
D. \frac{1}{\sqrt{mk}}
Question 15
A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If air resis\tance is neglected, calculate the maximum height reached by the projectile.
A. 5 m
B. 10 m
C. 15 m
D. 20 m

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