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A particles is SHM is described by the ...

A particles is SHM is described by the displacement function `x(t)= a cos (omegat+theta).` If the initinal `(t=0)` position of the particle is 1 cm and its initinal velcotiy is `pi cm//s.` The angular frequncy of the particle is `pi rad//s`. Then is amplitude is

A

1 cm

B

`sqrt2` cm

C

2 cm

D

2.5 cm

Text Solution

Verified by Experts

The correct Answer is:
B
`v=omegasqrt(A^(2)-x^(2))`
`implies pi=pisqrt(A^(2)-1^(2))`
`implies 1=A^(2)-1implies A=sqrt2` cm.
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