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The S.H.M.s of two particles are given b...

The S.H.M.s of two particles are given by
`y_(1)=10 "sin" [2pi t +(pi)/(6)] " and " y_(2) =5["sin" 2pi t + sqrt(3) "cos" 2 pi t]`
The ratio of their amplitudes is

A

`1 : 2`

B

`1 : 1`

C

`2 : 1`

D

`3 : 1`

Text Solution

Verified by Experts

The correct Answer is:
B

`A_(1)=10 and A_(2)=sqrt(5^(2)+(5sqrt(3))^(2))=10`
`therefore (A_(1))/(A_(2))=1`
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