POST UTME FUTA 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A body of mass 5 kg is moving in a straight line with an initial velocity of 10 m/s. If it experiences a force of 20 N for 2 seconds, what is its final velocity?
A. 12 m/s
B. 14 m/s
C. 16 m/s
D. 18 m/s
Question 2
A uniform solid sphere of radius 0.05 m and mass 0.5 kg is partially submerged in a liquid of density 1000 kg/m^3. If the sphere is displaced by a dis\tance of 0.01 m from its equilibrium position, determine the magnitude of the buoyant force acting on the sphere.
A. 0.05 N
B. 0.1 N
C. 0.15 N
D. 0.2 N
Question 3
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 20 V is applied across the plates, what is the charge stored on the capacitor?
A. 200 μC
B. 400 μC
C. 600 μC
D. 800 μC
Question 4
A particle of mass $m$ is confined to a one-dimensional box of length $L$. U\sing the time-indep\endent Schrödinger equation, derive an expression for the energy levels of the particle.
A. E_n = \frac{n^2 \pi^2 \hbar^2}{2mL^2}
B. E_n = \frac{n^2 \pi^2 \hbar^2}{mL^2}
C. E_n = \frac{n^2 \pi^2 m}{2\hbar^2 L^2}
D. E_n = \frac{n^2 \pi^2 m}{\hbar^2 L^2}
Question 5
A block of mass 5 kg is placed on a horizontal surface. If the coefficient of static friction between the block and the surface is 0.5, what is the maximum force that can be applied to the block without cau\sing it to move?
A. 2.5 N
B. 5 N
C. 10 N
D. 25 N
Question 6
A 10 μF capacitor is connected in series with a 20 Ω resistor and a 120 V power source. What is the current flowing through the circuit?
A. 0.5 A
B. 1 A
C. 2 A
D. 5 A
Question 7
A convex lens of focal length 20 cm forms an image of an object placed 30 cm in front of it. Calculate the magnification of the image.
A. 1/2
B. 1/3
C. 2/3
D. 3/4
Question 8
A simple harmonic motion has a frequency of 2 Hz and an amplitude of 5 m. What is the angular frequency of the motion?
A. 4π rad/s
B. 8π rad/s
C. 12π rad/s
D. 16π rad/s
Question 9
A 50 Hz AC supply is connected across a 10 Ω resistor. Calculate the impedance of the circuit.
A. 10 Ω
B. 20 Ω
C. 30 Ω
D. 40 Ω
Question 10
A radioactive sample of uranium-238 decays into thorium-234 with a half-life of 4.5 x 10^9 years. If the initial activity of the sample is 10^6 Bq, find the activity of the sample after 10^9 years.
A. A = 10^3 Bq
B. A = 10^4 Bq
C. A = 10^5 Bq
D. A = 10^6 Bq
Question 11
A 5 m long wire is stretched to 6 m. What is the change in length?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 12
A particle of mass 3 kg is moving in a simple harmonic motion with a frequency of 10 Hz. If the amplitude of the motion is 2 m, what is the maximum speed of the particle?
A. 10 m/s
B. 20 m/s
C. 30 m/s
D. 40 m/s
Question 13
A nucleus of mass number 238 and atomic number 92 undergoes \alpha decay. If the daughter nucleus has a mass number of 234 and an atomic number of 90, determine the energy released in the decay.
A. 1.5 MeV
B. 2.5 MeV
C. 3.5 MeV
D. 4.5 MeV
Question 14
A 240 V, 50 Hz AC supply is connected across a resistor of 10 Ω. Calculate the power consumed by the resistor.
A. 2400 W
B. 1200 W
C. 600 W
D. 300 W
Question 15
A particle of mass 3 kg is moving in a circular path of radius 2 m with a cons\tant speed of 6 m/s. If the particle is subjected to a centripetal force of 18 N, what is the magnitude of the acceleration of the particle?
A. 3 m/s^2
B. 4 m/s^2
C. 5 m/s^2
D. 6 m/s^2

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