Exam Body

Year

Subject

Paper Type

POST UTME AAUA 2022 Physics | Objective

Are you preparing for POST UTME AAUA exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2022 Physics (Objective) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1

A block of mass 2 kg is susp\ended from a spring with a spring cons\tant of 100 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 as it passes through the equilibrium position?

A. 2 m/s

Correct B. 4 m/s

C. 6 m/s

D. 8 m/s

Correct Answer: B

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

Question 2

A sound wave with a frequency of 200 Hz is traveling through a medium with a speed of 340 m/s. What is the wavelength of the sound wave?

Correct A. 1.7 m

B. 1.8 m

C. 1.9 m

D. 2.0 m

Correct Answer: A

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

Question 3

A convex lens with a focal length of 20 cm is used to form an image of an object placed 30 cm in front of it. What is the magnification of the image?

A. -0.5

Correct B. -0.6

C. -0.7

D. -0.8

Correct Answer: B

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

Question 4

A magnetic field with a strength of 0.5 T is directed perp\endicular to a current-carrying wire with a current of 2 A. What is the force on the wire?

Correct A. 0.5 N

B. 1.0 N

C. 1.5 N

D. 2.0 N

Correct Answer: A

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

Question 5

A heat engine with an efficiency of 30% operates between a temperature of 500 K and a temperature of 300 K. What is the work output of the engine?

A. 100 J

Correct B. 200 J

C. 300 J

D. 400 J

Correct Answer: B

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

Question 6

A point charge of +2 μC is placed at the center of a spherical conductor of radius 0.1 m. What is the electric field at a point 0.2 m from the center of the sphere?

Correct A. 4.0 x 10^3 N/C

B. 2.0 x 10^3 N/C

C. 1.0 x 10^3 N/C

D. 0.5 x 10^3 N/C

Correct Answer: A

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

Question 7

A block of mass 5 kg is attached to a horizontal 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. 0.5 m/s

Correct B. 1.0 m/s

C. 1.5 m/s

D. 2.0 m/s

Correct Answer: B

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

Question 8

A 2 kg object is moving in a circular path with a cons\tant speed of 4 m/s. What is the magnitude of the net force acting on the object?

A. 10 N

B. 20 N

Correct C. 30 N

D. 40 N

Correct Answer: C

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

Question 9

A radioactive sample has a half-life of 5 years. If the initial activity is 1000 Bq, what is the activity after 10 years?

A. 125 Bq

Correct B. 250 Bq

C. 500 Bq

D. 1000 Bq

Correct Answer: B

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

Question 10

A Carnot engine operates between two temperatures of 300 K and 400 K. What is the efficiency of the engine?

A. 0.2

Correct B. 0.3

C. 0.4

D. 0.5

Correct Answer: B

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

Question 11

A particle of mass $m$ is confined to a one-dimensional box of length $L$. The ground state wave function of the particle is given by $psi_1(x) = \sqrt{\frac{2}{L}} \sinleft$ \frac{pi x}{L}\right $$. What is the probability of finding the particle in the region $0 < x < \frac{L}{4}$?

Correct A. 0.25

B. 0.5

C. 0.75

D. 1.0

Correct Answer: A

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

Question 12

A charged particle of mass $m$ and charge $q$ is moving in a circular orbit of radius $r$ in a uniform magnetic field $B$. The magnetic force on the particle is given by $F = qvB$. What is the angular frequency of the particle?

Correct A. \frac{qB}{m}

B. \frac{qB}{mr}

C. \frac{m}{qB}

D. \frac{B}{mq}

Correct Answer: A

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

Question 13

A wave of frequency $f$ and amplitude $A$ is traveling in the positive $x$-direction. The wave function is given by $y(x,t) = A \sin$ kx - \omega t $$. What is the speed of the wave?

A. \frac{f}{k}

Correct B. \frac{\omega}{k}

C. \frac{k}{f}

D. \frac{A}{f}

Correct Answer: B

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

Question 14

A particle of mass $m$ is moving in a circular orbit of radius $r$ with a cons\tant speed $v$. The particle is subject to a centripetal force $F_c = \frac{mv^2}{r}$. What is the angular frequency of the particle?

Correct A. \frac{v}{r}

B. \frac{mv^2}{r}

C. \frac{r}{v}

D. \frac{v^2}{r}

Correct Answer: A

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

Question 15

A wave of frequency $f$ and amplitude $A$ is traveling in the positive $x$-direction. The wave function is given by $y(x,t) = A \sin$ kx - \omega t $$. What is the wavelength of the wave?

Correct A. \frac{2\pi}{k}

B. \frac{k}{2\pi}

C. \frac{\omega}{2\pi}

D. \frac{2\pi}{\omega}

Correct Answer: A

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 capaci\tance is 8.0 x 10^-12 F, what is the charge on the plates?

A. 1.6 x 10^-10 C

B. 3.2 x 10^-10 C

Correct C. 6.4 x 10^-10 C

D. 1.28 x 10^-9 C

Correct Answer: C

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

Question 17

A gas expands from 1.5 L to 3.0 L against a cons\tant external pressure of 2.0 atm. If the initial temperature is 300 K, what is the final temperature?

A. 400 K

Correct B. 500 K

C. 600 K

D. 700 K

Correct Answer: B

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

Question 18

A circuit consists of a 12 V battery, a 4 Ω resistor, and a 6 Ω resistor connected in series. What is the current in the circuit?

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 19

A particle moves in a circular path with a radius of 2.0 m and a speed of 4.0 m/s. What is the centripetal acceleration?

A. 2.0 m/s^2

B. 4.0 m/s^2

Correct C. 6.0 m/s^2

D. 8.0 m/s^2

Correct Answer: C

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

Question 20

A wave has a frequency of 50 Hz and a wavelength of 0.02 m. What is the speed of the wave?

A. 1.0 m/s

Correct B. 2.0 m/s

C. 3.0 m/s

D. 4.0 m/s

Correct Answer: B

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

Question 21

A thermodynamic system undergoes a process from state A to state B. The initial temperature is 300 K, and the final temperature is 400 K. If the system absorbs 500 J of heat, what is the change in entropy?

A. 1.5 J/K

Correct B. 2.0 J/K

C. 2.5 J/K

D. 3.0 J/K

Correct Answer: B

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

Question 22

A capacitor consists of two parallel plates separated by a dis\tance d. The capaci\tance is given by C = \frac{\epsilon_0 A}{d}. If the area of the plates is 0.01 m^2, the dis\tance between the plates is 0.001 m, and the permittivity of free space is 8.85 x 10^-12 F/m, what is the capaci\tance?

A. 8.85 x 10^-10 F

B. 8.85 x 10^-11 F

Correct C. 8.85 x 10^-12 F

D. 8.85 x 10^-13 F

Correct Answer: C

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

Question 23

A lens with a focal length of 0.2 m is used to form an image of an object placed 0.5 m away. What is the magnification of the lens?

A. 0.4

B. 0.6

Correct C. 0.8

D. 1.0

Correct Answer: C

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

Question 24

A magnetic field is produced by a current-carrying wire. The magnetic field strength is given by B = \frac{\mu_0 I}{2\pi r}. If the current is 2 A, the dis\tance from the wire is 0.1 m, and the permeability of free space is 4\pi x 10^-7 H/m, what is the magnetic field strength?

A. 4\pi x 10^-5 T

B. 4\pi x 10^-6 T

Correct C. 4\pi x 10^-7 T

D. 4\pi x 10^-8 T

Correct Answer: C

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

Question 25

A ray of light passes through a prism and is re\fracted. The angle of incidence is 30°, and the angle of re\fraction is 20°. What is the angle of deviation?

A. 10°

Correct B. 20°

C. 30°

D. 40°

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