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The total mechanical energy of a spring ...

The total mechanical energy of a spring mass system in simple harmonic motion is `E=1/2momega^2 A^2`. Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will

A

become `2E`

B

becoem `E/2`

C

becoem `sqrt2E`

D

remain E

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The correct Answer is:
D
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HC VERMA-SIMPLE HARMONIC MOTION-Objective -1
  1. A particle performing SHM takes time equal to T (time period of SHM) i...

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  2. A particle executing linear SHM. Its time period is equal to the small...

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  3. The displacement of a particle in simple harmonic motion in one time p...

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  4. The distance moved by a particle in simple harmonic motion in one time...

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  5. The average acceleration in one time period in a simple harmonic motio...

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  6. The motion of a particle is given by x=A sinomegat+Bcosomegat. The mot...

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  7. The displacement of a particle is given by vecr=A(vecicosomegat+vecjsi...

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  8. A particle moves on the X-axis according to the equation x=A+Bsinomega...

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  9. Figure represents two simple harmonic motions the parameter which has ...

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  10. The total mechanical energy of a spring mass system in simple harmonic...

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  11. The average energy in one time period in simple harmonic motion is

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  12. A particle executes simple harmonic motion with a frequency. (f). The ...

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  13. A particle executes simple harmonic motion under the restoring force p...

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  14. Two bodies A and B of equal mass are suspended from two separate massl...

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  15. A spring mass system oscillates with a frequency v. If it is taken in ...

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  16. A spring mass system oscillates in a car. If the car accelerates on a ...

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  17. A pendulum clock that keeps the correct time on the earth is taken to ...

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  18. A wall clock uses a vertical spring mass system to measure the time. E...

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  19. A pendulum clock keeping correct time is taken to high altitudes

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  20. What is the use of gear box?

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