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A body executes SHM with an amplitude a....

A body executes SHM with an amplitude a. At what displacement from the mean positions, the potentail energy of the body is one-fourth of its total energy?

A

`A//4`

B

`A//2`

C

`3A//4`

D

`(2)/(3)A`

Text Solution

Verified by Experts

The correct Answer is:
B
`P.E.=(1)/(2)M omega^(2)x^(2)`, Total energy `E=(1)/(2)M omega^(2)A^(2)`
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DISHA PUBLICATION-OSCILLATIONS -Exercise-1 : Concept Builder (TOPIC 1: Displacement, Phase, Velocity, Acceleration and Energy in S.H.M.)
  1. The amplitude of a executing SHM is 4cm At the mean position the speed...

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  2. A particle of mass 1 kg is moving in SHM with an amplitude 0.02 m and ...

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  3. If lt E gt and lt U gt denote the average kinetic and the average pote...

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  4. Suppose a tunnel is dug along a diameter of the earth. A particle is d...

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  5. A particle starts with S.H.M. from the mean position as shown in figur...

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  6. The particle executing simple harmonic motion has a kinetic energy K(0...

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  7. A body executes SHM with an amplitude a. At what displacement from the...

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  8. In S.H.M. the ratio of kinetic energy at mean position to the potentia...

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  9. Starting from the origin a body osillates simple harmonicall with a pe...

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  10. A body is executing simple harmonic motion. At a displacement x its po...

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  11. A particle of mass 10 gm is describing S.H.M. along a straight line wi...

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  12. A particle executes SHM with time period 8 s. Initially, it is at its ...

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  13. A body is in simple harmonic motion with time period T - 0.5 s and amp...

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  14. A boby is moving in a room with a velocity of 20m//s perpendicular...

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  15. Two particles P and Q describe S.H.M. of same amplitude a, same freque...

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  16. A coin is placed on a horizontal platform which undergoes vertical sim...

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  17. A body of mass 5 gm is executing S.H.M. about a point with amplitude 1...

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  18. If y = 2 (cm) sin[(pi t)/(2)+phi] then the maximum acceleration of the...

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  19. A body is executing simple harmonic motion. At a displacement x from m...

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  20. The amgular velocity and the amplitude of a simple pendulum is omega a...

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