Practice post utme futa physics 2021 Past Questions

Question 1

A uniform magnetic field of 2 T is applied to a coil of wire with 100 turns and a radius of 0.05 m. If the coil is rotated at a frequency of 50 Hz, what is the maximum value of the induced emf?

A. 0.785 V

B. 1.57 V

Correct C. 3.14 V

D. 6.28 V

Correct Answer: C

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

Question 2

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

Correct A. 12.5 Bq

B. 25 Bq

C. 50 Bq

D. 100 Bq

Correct Answer: A

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

Question 3

A 10 Ω resistor is connected in series with a 20 Ω resistor and a 30 Ω resistor. If a 12 V battery is connected across the circuit, what is the current flowing through the 10 Ω resistor?

A. 0.4 A

B. 0.6 A

Correct C. 0.8 A

D. 1.2 A

Correct Answer: C

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

Question 4

A 100 g sample of water is heated from 20°C to 80°C. What is the change in entropy?

A. 0.2 J/K

B. 0.4 J/K

Correct C. 0.6 J/K

D. 0.8 J/K

Correct Answer: C

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

Question 5

A 5 m long wire is stretched to 6 m. What is the change in length?

A. 0.5 m

Correct B. 1 m

C. 1.5 m

D. 2 m

Correct Answer: B

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

Question 6

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.

Correct 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}

Correct Answer: A

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

Question 7

A circuit consists of a 12 V battery, a 4 Ω resistor, and an inductor of induc\tance 2 H. If the circuit is connected at $t=0$, find the current in the circuit at $t=1$ s.

Correct A. I = \frac{12}{4} \left$ 1 - e^{-\frac{4}{2}t} \right $

B. I = \frac{12}{4} \left$ 1 + e^{-\frac{4}{2}t} \right $

C. I = \frac{12}{4} \left$ 1 - e^{-\frac{2}{4}t} \right $

D. I = \frac{12}{4} \left$ 1 + e^{-\frac{2}{4}t} \right $

Correct Answer: A

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

Question 8

A gas of ideal monatomic molecules is confined to a box of volume $V$. U\sing the ideal gas law, find the pressure exerted by the gas on the walls of the box.

Correct A. P = \frac{nRT}{V}

B. P = \frac{nRT}{2V}

C. P = \frac{nRT}{3V}

D. P = \frac{nRT}{4V}

Correct Answer: A

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

Question 9

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.

Correct A. A = 10^3 Bq

B. A = 10^4 Bq

C. A = 10^5 Bq

D. A = 10^6 Bq

Correct Answer: A

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

Question 10

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a speed $v$. Find the kinetic energy of the particle.

Correct A. K = \frac{1}{2}m\left$ \frac{v^2}{r} \right $

B. K = \frac{1}{2}m\left$ \frac{v}{r} \right $

C. K = \frac{1}{2}m\left$ \frac{r}{v} \right $

D. K = \frac{1}{2}m\left$ \frac{v}{r^2} \right $

Correct Answer: A

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 acceleration of the particle?

A. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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

Question 12

A 240 V, 50 Hz AC supply is connected across a resistor of 10 Ω. Calculate the power consumed by the resistor.

Correct A. 2400 W

B. 1200 W

C. 600 W

D. 300 W

Correct Answer: A

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

Question 13

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

Correct B. 1/3

C. 2/3

D. 3/4

Correct Answer: B

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

Question 14

A 100 Ω resistor is connected in series with a 50 Ω resistor and a 200 Ω resistor. What is the total resis\tance of the circuit?

A. 350 Ω

B. 450 Ω

Correct C. 550 Ω

D. 650 Ω

Correct Answer: C

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

Question 15

A 12 V battery is connected in parallel with a 6 V battery. What is the total voltage of the circuit?

Correct A. 18 V

B. 20 V

C. 22 V

D. 24 V

Correct Answer: A

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

Question 16

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

Correct Answer: VIEW ANSWER

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

Question 17

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. 2 m/s^2

B. 4 m/s^2

Correct C. 6 m/s^2

D. 8 m/s^2

Correct Answer: C

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

Question 18

A radioactive sample decays at a rate of 0.05% per hour. If the initial mass of the sample is 100 g, what is the mass of the sample after 5 hours?

Correct A. 90.25 g

B. 91.25 g

C. 92.25 g

D. 93.25 g

Correct Answer: A

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

Question 19

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

Correct B. 1 A

C. 2 A

D. 5 A

Correct Answer: B

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

Question 20

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

Correct C. 16 m/s

D. 18 m/s

Correct Answer: C

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

Question 21

A 100 W light bulb is connected to a 220 V power source. What is the current flowing through the bulb?

A. 0.45 A

Correct B. 0.5 A

C. 0.55 A

D. 0.6 A

Correct Answer: B

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

Question 22

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

Correct D. 6 m/s^2

Correct Answer: D

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

Question 23

A 10 μF capacitor is connected in parallel with a 20 Ω resistor and a 120 V power source. What is the current flowing through the circuit?

A. 1 A

B. 2 A

C. 3 A

D. 4 A

Correct Answer: VIEW ANSWER

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

Question 24

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

Correct B. 0.1 N

C. 0.15 N

D. 0.2 N

Correct Answer: B

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

Question 25

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. If the current through the 4 Ω resistor is 0.5 A, determine the current through the 6 Ω resistor.

A. 0.25 A

B. 0.5 A

Correct C. 0.75 A

D. 1 A

Correct Answer: C

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

POST UTME FUTA 2021 Physics | Objective

Master the Exam!

Help others prepare! Share this practice hub: