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Two simple harmonic motion are represrnt...

Two simple harmonic motion are represrnted by the following equation `y_(1) = 40 sin omega t` and `y_(2) = 10 (sin omega t + c cos omega t)`. If their displacement amplitudes are equal, then the value of `c` (in appropriate units) is

A

`sqrt(13)`

B

`sqrt(15)`

C

`sqrt(17)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
(b)For `y_(2)`

`A=sqrt((10)^(2)+(10C)^(2))`
or `10sqrt(1+C^(2))=40`
`therefore C=sqrt(15)`
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