Exam Body

Year

Subject

Paper Type

POST UTME FUTO 2025 Physics | Objective

Are you preparing for POST UTME FUTO exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2025 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

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} $

Correct D. $ E_1 = \frac{h^2}{8mL^2} $

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 2

A block of mass $M$ is placed on a horizontal, frictionless surface. A force $F$ is applied to the block, cau\sing it to accelerate at a rate $a$. U\sing Hooke's Law, derive an expression for the force $F$ in terms of the mass $M$, the acceleration $a$, and the spring cons\tant $k$.

A. $ F = Ma $

Correct B. $ F = Ma + kx $

C. $ F = Ma - kx $

D. $ F = kx $

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 3

A magnetic field is produced by a current-carrying wire. U\sing Ampère's Law, derive an expression for the magnetic field $B$ in terms of the current $I$, the dis\tance $r$ from the wire, and the permeability of free space $\mu_0$.

A. $ B = \frac{\mu_0 I}{r} $

Correct B. $ B = \frac{\mu_0 I}{2\pi r} $

C. $ B = \frac{\mu_0 I}{4\pi r} $

D. $ B = \frac{\mu_0 I}{6\pi r} $

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 4

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} $

Correct B. $ C = \frac{\epsilon_0 A}{d} $

C. $ C = \frac{\epsilon_0 A}{3d} $

D. $ C = \frac{\epsilon_0 A}{4d} $

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 5

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

Correct D. 4

Correct Answer: D

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 6

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

Correct C. 3.6 x 10^4 Bq

D. 4.8 x 10^4 Bq

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 7

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the maximum speed of the block?

A. 1.0 m/s

B. 1.4 m/s

Correct C. 1.9 m/s

D. 2.3 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 8

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

Correct B. 2.0 A

C. 2.5 A

D. 3.0 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 9

A 10 μF capacitor is connected in parallel with a 20 μF capacitor. What is the equivalent capaci\tance?

A. 10 μF

Correct B. 15 μF

C. 20 μF

D. 25 μF

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 10

A 1000 kg car is traveling at a speed of 20 m/s. What is its kinetic energy?

A. 2000 J

Correct B. 4000 J

C. 6000 J

D. 8000 J

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 11

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

Correct B. 12 N

C. 15 N

D. 20 N

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 12

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

Correct B. 0.2 s

C. 0.5 s

D. 1 s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 13

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

Correct C. 6 L

D. 8 L

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 14

A radioactive sample has a half-life of 5 years. If the initial activity is 100 Bq, what is the activity after 10 years?

A. 20 Bq

Correct B. 40 Bq

C. 60 Bq

D. 80 Bq

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 15

A 10 Ω resistor is connected in series with a 20 Ω resistor. If a 12 V battery is connected across the circuit, what is the current in the circuit?

A. 0.5 A

Correct B. 1 A

C. 1.5 A

D. 2 A

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 16

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

Correct C. 0.06 F

D. 0.08 F

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 17

A particle of mass 2 kg is attached to a spring with spring cons\tant 100 N/m. If the particle is displaced by 0.1 m from its equilibrium position and released from rest, calculate the maximum velocity of the particle.

A. 0.5 m/s

B. 1.0 m/s

Correct C. 1.5 m/s

D. 2.0 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 18

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.

Correct A. 20°

B. 30°

C. 40°

D. 50°

Correct Answer: A

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 19

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

Correct B. 200 m/s

C. 300 m/s

D. 400 m/s

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 20

A heat engine operates between the temperatures 300 K and 600 K. If the engine has an efficiency of 30%, calculate the work done per cycle.

A. 100 J

B. 200 J

Correct C. 300 J

D. 400 J

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 21

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

Correct B. 6 m/s^2

C. 8 m/s^2

D. 10 m/s^2

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 22

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

Correct C. 6 m/s

D. 8 m/s

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 23

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

Correct C. 2.5 m^3

D. 3 m^3

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 24

A particle of mass 1 kg is moving in a straight line with a velocity of 5 m/s. If the particle is subjected to a force of 10 N, what is the acceleration of the particle?

A. 2 m/s^2

B. 5 m/s^2

Correct C. 10 m/s^2

D. 15 m/s^2

Correct Answer: C

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Question 25

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°

Correct B. 30°

C. 40°

D. 50°

Correct Answer: B

Want to see the full step-by-step solution? Unlock AI Explanation & Analytics

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Help others prepare! Share this practice hub:

Chat with Support