Exam Body

Year

Subject

Paper Type

POST UTME IMS U 2023 Physics | Objective

Are you preparing for POST UTME IMS U exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2023 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 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the centripetal acceleration?

A. 4 m/s^2

B. 8 m/s^2

Correct C. \frac{16}{3} m/s^2

D. 12 m/s^2

Correct Answer: C

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 0.2 m. What is the speed of the wave?

A. 5 m/s

Correct B. 10 m/s

C. 20 m/s

D. 50 m/s

Correct Answer: B

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

Question 3

A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 10 N is applied to it. What is the acceleration of the block?

A. 1 m/s^2

Correct B. 2 m/s^2

C. 5 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 4

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

A. 6 Ω

B. 8 Ω

Correct C. 10 Ω

D. 12 Ω

Correct Answer: C

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

Question 5

A radioactive sample has a half-life of 10 years. If the initial activity is 100 Bq, what is the activity after 20 years?

Correct A. 25 Bq

B. 50 Bq

C. 100 Bq

D. 200 Bq

Correct Answer: A

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

Question 6

A sound wave with a frequency of 200 Hz is emitted from a source moving towards a stationary observer. If the speed of sound in air is 343 m/s, what is the apparent frequency heard by the observer?

A. 220 Hz

B. 240 Hz

Correct C. 260 Hz

D. 280 Hz

Correct Answer: C

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

Question 7

A thermodynamic system undergoes a process from state A to state B, where the internal energy (U) increases by 100 J and the volume (V) decreases by 0.1 m^3. If the pressure (P) remains cons\tant at 101325 Pa, what is the work done (W) by the system?

Correct A. -1013.25 J

B. -1013.25 J

C. -1013.25 J

D. -1013.25 J

Correct Answer: A

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

Question 8

A simple harmonic motion has an amplitude of 2 m and a frequency of 5 Hz. If the initial phase angle is 30°, what is the equation of motion for this system?

Correct A. ( x(t) = 2 \sin $ 5t + 30° $ )

B. ( x(t) = 2 \cos $ 5t + 30° $ )

C. ( x(t) = 2 \sin $ 5t - 30° $ )

D. ( x(t) = 2 \cos $ 5t - 30° $ )

Correct Answer: A

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

Question 9

A convex lens has a focal length of 20 cm and is placed in a beam of light. If the object dis\tance is 30 cm, what is the image dis\tance?

A. 10 cm

Correct B. 20 cm

C. 30 cm

D. 40 cm

Correct Answer: B

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

Question 10

A thermodynamic system undergoes a process from state A to state B, where the internal energy (U) decreases by 100 J and the volume (V) increases by 0.1 m^3. If the pressure (P) remains cons\tant at 101325 Pa, what is the work done (W) by the system?

Correct A. 1013.25 J

B. 1013.25 J

C. 1013.25 J

D. 1013.25 J

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 with a radius of 3 m. If the particle's angular momentum is 6 kg m^2/s, what is its linear momentum?

A. 10 kg m/s

B. 12 kg m/s

Correct C. 15 kg m/s

D. 20 kg m/s

Correct Answer: C

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

Question 12

A block of mass 5 kg is attached to a horizontal, massless spring with a force cons\tant of 200 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, what is its maximum speed?

A. 2 m/s

B. 3 m/s

Correct C. 4 m/s

D. 5 m/s

Correct Answer: C

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

Question 13

A radioactive sample has a half-life of 10 years. If the initial activity is 1000 Bq, what is the activity after 20 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 14

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 cons\tant force of 10 N, what is its acceleration?

A. 1 m/s^2

B. 2 m/s^2

Correct C. 5 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 15

A heat engine operates between two reservoirs at temperatures 300 K and 400 K. If the engine absorbs 100 J of heat from the high-temperature reservoir, what is its efficiency?

A. 0.25

Correct B. 0.33

C. 0.5

D. 0.67

Correct Answer: B

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

Question 16

A 50 Hz AC voltage source is connected to a 100 Ω resistor in series with a 20 mH inductor. If the initial current is 0 A, find the current at t = 10 ms.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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

Question 17

A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. If the block is displaced by 0.2 m from its equilibrium position and released from rest, find the speed of the block when it passes through its equilibrium position.

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 18

A parallel plate capacitor has a capaci\tance of 10 μF and is charged to a potential difference of 100 V. If a dielectric slab of thickness 0.5 mm and dielectric cons\tant 2 is inserted between the plates, find the new capaci\tance.

A. 20 μF

B. 30 μF

Correct C. 40 μF

D. 50 μF

Correct Answer: C

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

Question 19

A sound wave with a frequency of 200 Hz and a speed of 340 m/s is traveling through a medium. If the amplitude of the wave is 0.1 mm, find the intensity of the wave.

A. 10^-3 W/m^2

Correct B. 10^-2 W/m^2

C. 10^-1 W/m^2

D. 10^0 W/m^2

Correct Answer: B

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

Question 20

A 100 Hz AC voltage source is connected to a 50 Ω resistor in series with a 10 μF capacitor. If the initial current is 0 A, find the current at t = 5 ms.

A. 0.5 A

Correct B. 1.0 A

C. 1.5 A

D. 2.0 A

Correct Answer: B

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

Question 21

A parallel plate capacitor has plates of area $A$ and separation $d$. If a dielectric slab of thickness $t$ and dielectric cons\tant $K$ is inserted between the plates, what is the new capaci\tance?

Correct A. C' = \frac{KA}{d-t}\left$ 1-\frac{t}{d}\right $

B. C' = \frac{KA}{d+t}\left$ 1+\frac{t}{d}\right $

C. C' = \frac{KA}{d-t}\left$ 1+\frac{t}{d}\right $

D. C' = \frac{KA}{d+t}\left$ 1-\frac{t}{d}\right $

Correct Answer: A

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

Question 22

A light ray passes through a prism of angle $A$ and is re\fracted at an angle $B$. If the angle of incidence is $i$, what is the angle of re\fraction?

Correct A. \sin^{-1}\left$ \frac{n_2}{n_1}\sin i\right $

B. \sin^{-1}\left$ \frac{n_1}{n_2}\sin i\right $

C. \sin^{-1}\left$ \frac{n_2}{n_1}\cos i\right $

D. \sin^{-1}\left$ \frac{n_1}{n_2}\cos i\right $

Correct Answer: A

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

Question 23

A sound wave has a frequency of $f$ and a speed of $v$. If the wave is reflected from a stationary surface, what is the frequency of the reflected wave?

Correct A. f'

B. 2f'

C. f\left$ 1+\frac{v}{c}\right $

D. f\left$ 1-\frac{v}{c}\right $

Correct Answer: A

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

Question 24

A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, what is the temperature of the hot reservoir?

Correct A. \frac{T_1}{1-\eta}

B. \frac{T_2}{1-\eta}

C. \frac{T_1-T_2}{1-\eta}

D. \frac{T_1+T_2}{1-\eta}

Correct Answer: A

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

Question 25

A spring has a spring cons\tant of $k$ and is stretched by a dis\tance $x$. If the spring is then released, what is the frequency of the resulting oscillations?

Correct A. \frac{1}{2\pi}\sqrt{\frac{k}{m}}

B. \frac{1}{2\pi}\sqrt{\frac{m}{k}}

C. \frac{1}{2\pi}\sqrt{\frac{k}{m}}\left$ 1+\frac{x}{L}\right $

D. \frac{1}{2\pi}\sqrt{\frac{k}{m}}\left$ 1-\frac{x}{L}\right $

Correct Answer: A

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