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Waves emitted by two identical sources p...

Waves emitted by two identical sources produces intensity of K unit at a point on screen where path difference between these waves is `lamda`. Calculate the intensity at that point on screen at which path difference is `(lamda)/(4)`

Text Solution

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`phi_(1) =(2pid)/lambda implies (2pi)/lambda xxlambda=2pi` and `phi_(2)=(2pi)/lambda xx lambda/4 =pi/2`
`I_(1)=I_(0)+i_(0)+2sqrt(I_(0))sqrt(I_(0))cos2pi =4I_(0)` and `I_(2)=I_(0)+I_(0)+ 2sqrt(I_(0))sqrt(I_(0)) cos(pi/2)=2I_(0)`
`therefore I_(1)/I_(2) =(4I_(0))/(2I_(0)) =2 implies I_(2) =I_(1)/2 =K/2` unit [`because I_(1)=K` unit]
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