POST UTME FUTO 2025 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
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. 4 m/s^2
B. 6 m/s^2
C. 8 m/s^2
D. 10 m/s^2
Question 2
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 3
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 4
A 10 μF capacitor is connected in series with a 5 kΩ resistor. If a 12 V battery is connected across the circuit, what is the time cons\tant of the circuit?
A. 0.1 s
B. 0.2 s
C. 0.5 s
D. 1 s
Question 5
A ray of light 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 6
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
Question 7
A capacitor consists of two parallel plates, each of area 0.1 m^2, separated by a dis\tance of 0.01 m. If the capaci\tance of the capacitor is 10^-6 F, what is the charge stored on the capacitor when a potential difference of 10 V is applied across it?
A. 10^-5 C
B. 10^-6 C
C. 10^-7 C
D. 10^-8 C
Question 8
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 9
A circuit consists of a 10 Ω resistor and a 20 Ω resistor connected in series. If a voltage of 12 V is applied across the circuit, calculate the current.
A. 0.5 A
B. 1 A
C. 2 A
D. 3 A
Question 10
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 11
A radioactive sample undergoes \alpha decay, emitting an \alpha particle with a mass of 4 u and a charge of +2e. If the sample has a half-life of 5 minutes, what is the activity of the sample in Bq?
A. 1.2 x 10^4 Bq
B. 2.4 x 10^4 Bq
C. 3.6 x 10^4 Bq
D. 4.8 x 10^4 Bq
Question 12
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 13
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 14
A particle of mass 1 kg is moving in a straight line with a velocity of 3 m/s. If the particle is subjected to a cons\tant force of 2 N, what is the acceleration of the particle?
A. 1 m/s^2
B. 2 m/s^2
C. 3 m/s^2
D. 4 m/s^2
Question 15
A 1000 kg car is traveling at a speed of 20 m/s. What is its kinetic energy?
A. 2000 J
B. 4000 J
C. 6000 J
D. 8000 J

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