POST UTME FUTO 2021 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas expands from 2 L to 5 L against a cons\tant external pressure of 2 atm. Calculate the work done.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 2
A quantum particle is confined to a one-dimensional box of length 1 m. If the particle has an energy of 10 eV, what is the wavelength of the particle?
A. 0.1 nm
B. 0.2 nm
C. 0.3 nm
D. 0.4 nm
Question 3
A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, calculate the new volume.
A. 2 L
B. 4 L
C. 6 L
D. 8 L
Question 4
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 1 atm. If the temperature is increased by 20°C, what is the new pressure of the gas?
A. 1.2 atm
B. 1.5 atm
C. 2.0 atm
D. 2.5 atm
Question 5
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 6
A simple harmonic motion has a period of 2 s and an amplitude of 3 m. What is the angular frequency?
A. 1.5 rad/s
B. 3.0 rad/s
C. 4.5 rad/s
D. 6.0 rad/s
Question 7
A body of mass 2 kg is moving with a velocity of 5 m/s. If it is subjected to a force of 10 N, calculate the acceleration produced.
A. 0.5 m/s^2
B. 1.0 m/s^2
C. 2.0 m/s^2
D. 5.0 m/s^2
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 force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
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. What is the magnitude of the centripetal acceleration?
A. 2 m/s^2
B. 4 m/s^2
C. 6 m/s^2
D. 8 m/s^2
Question 10
A gas is enclosed in a vessel at a pressure of 1.5 atm. If the temperature is increased by 20°C, what is the new pressure of the gas, assuming the volume remains cons\tant?
A. 1.8 atm
B. 2.1 atm
C. 2.5 atm
D. 3.0 atm
Question 11
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1.2 atm, what is the final pressure?
A. 1.5 atm
B. 1.8 atm
C. 2.0 atm
D. 2.2 atm
Question 12
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 subject to a centripetal force of 12 N, what is the magnitude of the force?
A. 10 N
B. 12 N
C. 15 N
D. 20 N
Question 13
A beam of light passes from air into a glass of re\fractive index 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 14
A quantum particle has a wave function given by ψ(x) = Ae^\( -αx^2 \). What is the probability density?
A. A^2e^\( -2αx^2 \)
B. A^2e^\( -αx^2 \)
C. A^2e^\( αx^2 \)
D. A^2e^\( -2α^2x^2 \)
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 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

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