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The displacement of SHM particle is x(t)...

The displacement of SHM particle is `x(t)= A cos (omega t+ phi)`. Its initial displacement is 1 cm and initial velocity is `pi(cm)/(sec)` and angular frequency is `pi s^(-1)`. Find amplitude.

A

`1 cm`

B

`sqrt(2) cm`

C

`2 cm`

D

`2.5 cm`

Text Solution

Verified by Experts

The correct Answer is:
B
`v= pi cm"/"s" "x=1 cm" and " omega pi"/"s` are given
`v= omega sqrt(A^(2)-x^(2)) implies pi = pi sqrt(A^(2)-1)`
`therefore 1= A^(1) -1 implies A= sqrt(2) cm`.
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