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The shortest distance travelled by a par...

The shortest distance travelled by a particle executing S.H.M. from mean position in 4 seconds is eual to `(1)/(sqrt(2))` times its amplitude. Find the time period.
Hint `: t=4 s , x = (1)/(sqrt(2)) , T=?`
`x = A sin omega t , omega = ( 2pi)/( T )`
Solve to get T.

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