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

Options

A. (a) `-4`
B. (b) `4`
C. (c ) `4sqrt2`
D. (d) `8`

Answer

C

Explanation

(c ) `x=4(cospit+sin pit)=sqrt2xx4((sin pit)/sqrt(2)+(cos pit)/sqrt(2))`
`x=4sqrt2 sin (pi t+45^@)`.