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Two simple harmonic motions are represen...

Two simple harmonic motions are represented as `y_(1)=10 "sin" omega " and "y_(2)=5 "sin" wt +5 "cos" omega t`
The ration of the amplitudes of `y_(1) " and " y_(2)` is

A

`1 : 1`

B

`1 : sqrt(2)`

C

`sqrt(2) : 1`

D

`1 : 4`

Text Solution

Verified by Experts

The correct Answer is:
C
For `y_(1), A_(1)=10`
For `y_(2),A_(2)=sqrt(25+25)=5sqrt(2)`
`therefore (A_(1))/(A_(2))=(10)/(5sqrt(2))=sqrt(2) : 1`
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