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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
`A_(1) = 40 units`

putting `A_(1) = A_(2)` we get
`c = sqrt (15)`
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