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Equation of motion in the same direction...

Equation of motion in the same direction is given by `y_1=Asin(omegat-kx)`, `y_2=Asin(omegat-kx-theta)`. The amplitude of the medium particle will be

A

`2Acos.(theta)/(2)`

B

`2Acostheta`

C

`sqrt(2)Acos.(theta)/(2)`

D

`1.2f`,`1.2lamda`

Text Solution

Verified by Experts

The correct Answer is:
A
The resultant amplitudes is given by
`A_R=sqrt(A^2+A^2+2A Acostheta)=sqrt(2A^2(1+costheta))`
`=2Acostheta//2`
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