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The disperod of a particle varies accord...

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

A

(a) `-4`

B

(b) `4`

C

(c ) `4sqrt2`

D

(d) `8`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) `x=4(cospit+sin pit)=sqrt2xx4((sin pit)/sqrt(2)+(cos pit)/sqrt(2))`
`x=4sqrt2 sin (pi t+45^@)`.
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Knowledge Check

  • The displacement of a particle in SHM varies according to the relation x = 4(cos pi t + sin pi t). The amplitude of the particle is:

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    B
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  • The displacement of a particle varies according to the relation X=3 sin 100t+8 cos^(2)50t . Which of the following is//are correct about this motion.

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