POST UTME FUTO 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A gas occupies a volume of 2 L at a pressure of 1 atm. If the temperature is increased to 300 K, what is the new volume of the gas?
A. 2 L
B. 4 L
C. 6 L
D. 8 L
Question 2
A block of mass 5 kg is placed on a frictionless surface and connected to a spring with a spring cons\tant of 2 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 3
A block of mass 5 kg is attached to a horizontal spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released, what is the maximum speed of the block?
A. 2 m/s
B. 4 m/s
C. 6 m/s
D. 8 m/s
Question 4
A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current flowing through the 6 Ω resistor?
A. 1.5 A
B. 2.0 A
C. 2.5 A
D. 3.0 A
Question 5
A particle of mass $m$ is confined to a one-dimensional box of length $L$. U\sing the time-indep\endent Schrödinger equation, derive the expression for the ground-state energy of the particle.
A. \( E_1 = \frac{h^2}{2mL^2} \)
B. \( E_1 = \frac{h^2}{4mL^2} \)
C. \( E_1 = \frac{h^2}{6mL^2} \)
D. \( E_1 = \frac{h^2}{8mL^2} \)
Question 6
A spring has a spring cons\tant of 100 N/m. If a force of 50 N is applied to the spring, what is the displacement of the spring?
A. 0.5 m
B. 1 m
C. 1.5 m
D. 2 m
Question 7
A capacitor consists of two parallel plates separated by a dis\tance $d$. U\sing the formula for capaci\tance, derive an expression for the capaci\tance $C$ in terms of the area $A$ of the plates, the dis\tance $d$ between them, and the permittivity of free space $\epsilon_0$.
A. \( C = \frac{\epsilon_0 A}{2d} \)
B. \( C = \frac{\epsilon_0 A}{d} \)
C. \( C = \frac{\epsilon_0 A}{3d} \)
D. \( C = \frac{\epsilon_0 A}{4d} \)
Question 8
A beam of light is incident on a mirror at an angle of 30°. If the reflected beam is at an angle of 60°, what is the angle of incidence?
A. 20°
B. 30°
C. 40°
D. 50°
Question 9
A particle of mass 0.5 kg is moving in a circular path of radius 0.2 m with a speed of 2 m/s. Calculate the centripetal force.
A. 0.5 N
B. 1 N
C. 2 N
D. 5 N
Question 10
A meter stick is used to measure the length of an object. U\sing the concept of significant figures, determine the maximum number of significant figures that can be obtained from a measurement of the object's length, given that the meter stick has a least count of 1 mm.
A. 1
B. 2
C. 3
D. 4
Question 11
A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the dielectric cons\tant of the material between the plates is 3, calculate the capaci\tance.
A. 0.02 F
B. 0.04 F
C. 0.06 F
D. 0.08 F
Question 12
A gas is contained in a cylinder of volume 2 m^3 at a pressure of 3 atm. If the pressure is increased to 4 atm, what is the new volume of the gas?
A. 1.5 m^3
B. 2 m^3
C. 2.5 m^3
D. 3 m^3
Question 13
A sound wave has a frequency of 200 Hz and a wavelength of 0.5 m. Calculate the speed of the sound wave.
A. 100 m/s
B. 200 m/s
C. 300 m/s
D. 400 m/s
Question 14
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. 30°
C. 40°
D. 50°
Question 15
A particle of mass 2 kg is moving in a circular path with a cons\tant speed of 4 m/s. If the radius of the circle is 3 m, what is the magnitude of the centripetal acceleration?
A. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2

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