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Two sinusoidal waves are superposed. The...

Two sinusoidal waves are superposed. Their equations are
`y_(1)=Asin(kx-omegat+(pi)/(6))and y_(2)=Asin(kx-omegat-(pi)/(6))`
the equation of their resultant is

A

`y=(A)/(sqrt(3))sin(kx-omegat)`

B

`y=Asqrt(3)sin(kx-omegat)`

C

`y=Asqrt(3)sin(kx-omegat-(pi)/(3))`

D

`y=(A)/(sqrt(3))sin(kx-omegat-(pi)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
`A=sqrt(A_(1)^(2)+A_(2)^(2)+A_(1)A_(2)costheta)`
`2lambda=0.5implieslambda=0.25`, `k=(2pi)/(lambda)`, `omega=(V)/(k)`
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