EWT | Academic Question

Questions
Question (11)
QN0038529

A particle is executing simple harmonic motion with amplitude

A. When the ratio of its kinetic energy to the potential energy is , its displacement from its mean position is

 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

As we know,

kinetic energy

Potential energy

.

Link:
Report Error
Question (12)
QN0038530

A mass of  suspended from a spring of force constant  executes simple harmonic oscillations. If the total energy of the oscillator is , the maximum acceleration (in  ) of the mass is

  • (A)

    5

  • (B)

    15

  • (C)

    45

  • (D)

    20

Correct Answer: D
Explanation:

Here,

In SHM,

Maximum acceleration,

Link:
Report Error
Question (13)
QN0038531

A particle of mass  executes simple harmonic motion with amplitude a and frequency . The average kinetic energy during its motion from the position of equilibrium to the end is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Link:
Report Error
Question (14)
QN0038532

For a particle executing SHM the displacement  is given by . Identify the graph which represents the variation of potential energy (P.E.) as a function of time  and displacement .                  

  • (A)

    I, III

  • (B)

    II, IV

  • (C)

    II, III

  • (D)

    I, IV

Correct Answer: A
Explanation:

In , the particle starts oscillating from extreme position. So at , its potential energy is maximum.

Link:
Report Error
Question (15)
QN0038533

The total energy of the particle executing simple harmonic motion of amplitude A is . At a distance of  from the mean position, its kinetic energy is        

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

 In , Total energy,

and, Kinetic energy,

where  is the distance from the mean position.

At

As per question,

Link:
Report Error
Question (16)
QN0038534

When the displacement of a particle executing simple harmonic motion is half of its amplitude, the ratio of its kinetic energy to potential energy is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Given,

from

And,

Link:
Report Error
Question (17)
QN0038535

A particle undergoing simple harmonic motion has time dependent displacement given by . The ratio of kinetic to potential energy of this particle at  will be :

  • (A)

  • (B)

    1

  • (C)

    2

  • (D)

Correct Answer: D
Explanation:

Kinetic energy,

Potential energy,

Link:
Report Error
Excel With Tutors

Learn At Your Own Pace... Because, Everyone's Pace of Learning is Different...

ExcelWithTutors

A unit of Innovexcel Edu Solution LLP.

SWIFT, RELIABLE & CONVENIENT..


Social Media

Corporate Office :
Bharat Impact Building, C-26, Sector - 59, Noida, Uttar Pradesh - 201301, India

Excel With Tutors : A Perfect Tutoring Platform & Repository of Learning Materials. Matches the Best Tutor as Per Your Requirement.


© 2025 | ©Innovexcel Edu Solution LLP. All Rights Reserved.

Technology Partner: Indev Consultancy Pvt Ltd

Find a Tutor Join as Tutor