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The total mechanicla energy of a spring ...

The total mechanicla energy of a spring mass sytem 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

become E/2

C

become `sqrt(2)E`

D

remain E

Text Solution

Verified by Experts

The correct Answer is:
D
`E=(1)/(2)m(k)/(m)A^(2)impliesE=(1)/(2)kA^(2)`
`implies` E does not depend on m
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