1.

Two coherent waves represented by `y_(1) = A sin ((2 pi)/(lambda) x_(1) - omega t + (pi)/(6))` and `y_(2) = A sin (( 2pi)/(lambda) x_(2) - omega t + (pi)/(6))` are superposed. The two waves will produceA. constructive interference at `(x_(1)-x_(2))=2lambda`B. constructive interference at `(x_(1)-x_(2))=23/24 lambda`C. destructive interference at `(x_(1)-x_(2))=1.5lambda`D. destructive interference at `(x_(1)-x_(2))=11/24 lambda`

Answer» Correct Answer - B::D
`Deltaphi=(2pi)/(lambda)(x_(1)-x_(2))+(pi/4-pi/6)`
when `x_(1)-x_(2)=23lambda//24`
then`Deltaphi=2pi`(constructive interference)
when`x_(1)-x_(2)=11lambda//24`
then`Deltaphi=pi`(destructive interference)


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