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A body of mass 5g is executing SHM with ...

A body of mass `5g` is executing SHM with amplitude `10cm`, its velocity is `100cm//s`. Its velocity will be `50cm//s` at a displacement from the mean position equal to

A

`5cm`

B

`5sqrt3`

C

`10sqrt3cm`

D

`15sqrt3cm`

Text Solution

Verified by Experts

The correct Answer is:
B
`A=10cm`, `v_(max)=100cm//s`, `v=50cm//s`, `x=?`
`v_(max)=Aomegaimplies100=10omegaimpliesomega=10rad//s`
`v=omegasqrt(A^2-x^2)`
`50=10sqrt((10)^2-x^2)`
`x=5sqrt3cm`
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Knowledge Check

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