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The displacement of a particle varies ac...

The displacement of a particle varies according to the relation `x=4 (cos pit+ sinpit)`. The amplitude of the particle is.

A

`-4`

B

`4`

C

`4sqrt(2)`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
C
As maximum value of
`Asintheta + B costheta = sqrt(A^(2) + B^(2))`
so amplitude of the particle
`= 4sqrt(l^(2) + 1^(2)) = 4sqrt(2)`
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