1.

Monochromatic light waves of wavelength lambda from two coherent source fall on a larger plane screen. One of the waves is emanated from a point source S located at distance L from the screen and the other one is a broad plasne wave as shown in the figure. The spacing between the n^(th) and (n-1)^(th) bright fringe is

Answer»

`sqrt(2lambda L)(sqrt(N)-sqrt(n-1))`
`sqrt(LAMBDA L) (sqrt(n)-sqrt(n-1))`
`(lambda^(2))/(2L)(sqrt(n)-sqrt(n-1))`
`(2lambda^(2))/(L)(sqrt(n)-sqrt(n-1))`

Solution :
`Delta x = sqrt(y^(2)+L^(2))-L`
`Delta x = L ((1+y^(2))/(L^(2)))^(1//2) - L`
`Delta x = (y^(2))/(2L)Delta x = n lambda`(for bright FRINGES)
or`y = sqrt(2N lambda L)`


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