Exam Body

Year

Subject

Paper Type

POST UTME ABU 2018 Physics | Objective

Are you preparing for POST UTME ABU exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2018 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 moving in a circular path of radius $r$ with a cons\tant speed $v$. If the particle is subjected to a uniform magnetic field of strength $B$, what is the magnitude of the magnetic force acting on the particle?

Correct A. $ \frac{mv^2}{r} $

B. $ \frac{mv}{r} $

C. $ \frac{m^2v^2}{r^2} $

D. $ \frac{mv^3}{r^2} $

Correct Answer: A

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

Question 2

A wave has a frequency of 50 Hz and a wavelength of 2 m. If the wave is traveling in the positive x-direction, what is the direction of the wave's velocity?

Correct A. $ vec{v} = \frac{omega}{k} hat{i} $

B. $ vec{v} = \frac{omega}{k} hat{j} $

C. $ vec{v} = \frac{k}{omega} hat{i} $

D. $ vec{v} = \frac{k}{omega} hat{j} $

Correct Answer: A

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

Question 3

A projectile is launched from the origin with an initial velocity of 20 m/s at an angle of 30° above the horizontal. If the acceleration due to gravity is 9.8 m/s², what is the maximum height reached by the projectile?

A. $ \frac{20^2}{2 cdot 9.8} $

B. $ \frac{20^2}{2 cdot 9.8} cdot \sin^2\( 30° \ $ )

Correct C. $ \frac{20^2}{2 cdot 9.8} cdot \( 1 + \sin^2(30° \ $) )

D. $ \frac{20^2}{2 cdot 9.8} cdot \( 1 - \sin^2(30° \ $) )

Correct Answer: C

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

Question 4

A radioactive sample has an initial activity of 100 Bq. If the half-life of the sample is 10 minutes, what is the activity of the sample after 30 minutes?

A. $ 100 cdot \frac{1}{2} $

B. $ 100 cdot \frac{1}{4} $

Correct C. $ 100 cdot \frac{1}{8} $

D. $ 100 cdot \frac{1}{16} $

Correct Answer: C

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

Question 5

A simple harmonic motion has an angular frequency of 2 rad/s and an amplitude of 5 m. If the motion is described by the equation ( x(t) = 5 \cos(2t) ), what is the maximum acceleration of the motion?

Correct A. $ 10 cdot 2^2 $

B. ( 10 cdot 2 )

C. $ 10 cdot 2^2 cdot \sin^2\( 2t \ $ )

D. $ 10 cdot 2^2 cdot \cos^2\( 2t \ $ )

Correct Answer: A

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

Question 6

A particle of mass $m$ is moving in a circular orbit of radius $r$ under the influence of a central force given by $F(r) = -\frac{k}{r^2}$. If the particle's speed is $v$, what is its angular momentum $L$?

Correct A. mv\sqrt{r^3k/m}

B. mv\sqrt{r^2k/m}

C. mv\sqrt{r^3k/m^2}

D. mv\sqrt{r^3k/m^2}

Correct Answer: A

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

Question 7

A wave of frequency $f$ and amplitude $A$ is traveling through a medium with speed $v$. If the wave is reflected off a fixed \end, what is the amplitude of the reflected wave?

Correct A. A

B. 2A

C. A/2

D. A/3

Correct Answer: A

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

Question 8

A projectile is launched from the origin with an initial velocity $v_0$ at an angle $\theta$ above the horizontal. If the projectile lands at a dis\tance $d$ from the origin, what is the time of flight $t$?

Correct A. \frac{2d}{v_0\sin\theta}

B. \frac{d}{v_0\sin\theta}

C. \frac{2d}{v_0\cos\theta}

D. \frac{d}{v_0\cos\theta}

Correct Answer: A

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

Question 9

A force $F$ is applied to a spring with spring cons\tant $k$. If the spring is displaced by a dis\tance $x$, what is the potential energy stored in the spring?

Correct A. \frac{1}{2}kx^2

B. \frac{1}{2}Fx

C. \frac{1}{2}kx

D. \frac{1}{2}Fx^2

Correct Answer: A

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

Question 10

A circuit consists of a resistor $R$, an inductor $L$, and a capacitor $C$ connected in series. If the circuit is driven by an AC voltage source with frequency $f$, what is the impedance $Z$ of the circuit?

Correct A. \sqrt{R^2 + $ \omega L - 1/\omega C $^2}

B. \sqrt{R^2 + $ \omega L + 1/\omega C $^2}

C. \sqrt{R^2 + $ \omega L - 1/\omega C $^2}

D. \sqrt{R^2 + $ \omega L + 1/\omega C $^2}

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 angular velocity of the particle?

A. 2 rad/s

Correct B. 4 rad/s

C. 6 rad/s

D. 8 rad/s

Correct Answer: B

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

Question 12

A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 20 N/m. If the block is displaced by 2 m from its equilibrium position and released from rest, 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 13

A car of mass 1500 kg is traveling at a speed of 25 m/s when it encounters a hill that causes it to slow down uniformly to 10 m/s in 2 s. What is the magnitude of the force exerted on the car by the hill?

A. 3750 N

B. 4500 N

Correct C. 5250 N

D. 6000 N

Correct Answer: C

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

Question 14

A gas is compressed from an initial volume of 2 m^3 to a final volume of 1 m^3 at a cons\tant temperature of 300 K. What is the magnitude of the work done on the gas?

A. 1000 J

Correct B. 2000 J

C. 3000 J

D. 4000 J

Correct Answer: B

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

Question 15

A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the 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 16

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 path is 3 m, calculate the magnitude of the centripetal acceleration.

A. 4 m/s^2

B. 6 m/s^2

Correct C. 8 m/s^2

D. 10 m/s^2

Correct Answer: C

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

Question 17

A wave has a frequency of 50 Hz and a wavelength of 0.2 m. Calculate the speed of the wave.

A. 10 m/s

Correct B. 20 m/s

C. 30 m/s

D. 40 m/s

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. Calculate the total resis\tance of the circuit.

A. 10 Ω

B. 12 Ω

Correct C. 14 Ω

D. 16 Ω

Correct Answer: C

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

Question 19

A projectile is launched from the ground with an initial velocity of 20 m/s at an angle of 30° above the horizontal. Calculate the maximum height reached by the projectile.

A. 10 m

Correct B. 15 m

C. 20 m

D. 25 m

Correct Answer: B

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

Question 20

A sound wave has a frequency of 200 Hz and a speed of 340 m/s. Calculate the wavelength of the wave.

A. 1.7 m

B. 1.8 m

Correct C. 1.9 m

D. 2.0 m

Correct Answer: C

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

Question 21

A parallel plate capacitor has plates of area 0.04 m^2 and separation 0.02 m. If the capaci\tance is 2.5 x 10^-10 F, what is the charge stored when the potential difference between the plates is 100 V?

Correct A. 0.25 C

B. 0.5 C

C. 1 C

D. 2 C

Correct Answer: A

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

Question 22

A gas at 300 K expands from 10^-3 m^3 to 10^-2 m^3. If the initial pressure is 10^5 Pa, what is the final pressure?

A. 1.0 x 10^4 Pa

Correct B. 1.5 x 10^4 Pa

C. 2.0 x 10^4 Pa

D. 3.0 x 10^4 Pa

Correct Answer: B

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

Question 23

A convex lens of focal length 0.2 m forms an image of an object 0.5 m away. What is the magnification of the image?

A. -0.2

B. -0.5

Correct C. -1.0

D. -2.0

Correct Answer: C

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

Question 24

A solid cylinder of radius 0.1 m and length 0.2 m is subjected to a force of 100 N. If the Young's modulus is 2 x 10^11 Pa, what is the strain?

A. 0.01

Correct B. 0.02

C. 0.03

D. 0.04

Correct Answer: B

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

Question 25

A heat engine operates between 300 K and 400 K. If the efficiency is 30%, what is the temperature of the hot reservoir?

A. 350 K

B. 400 K

Correct C. 450 K

D. 500 K

Correct Answer: C

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