1.

White light is used to illuminate the two slits in Young's double slit experiment, separation between the slits is b and the screen is at a distance d ( gt gt b) from the slits.At a point on the screen, directly in front of the slits, certain wavelengths are missing.Some of these missing wave lengths are :

Answer»

`((b^(2)))/(d), ((b^(2)))/(3D)`
`(2b^(2))/(d)`
`(2b^(2))/(3d)`
`(b^(2))/(3d^(2))`

SOLUTION :PATH difference = `( d + (b^(2))/(2d)) - d = (b^(2))/(2d)`
For the missing wavelengths
`(2n - 1)(lambda)/(2) = (b^(2))/(2d)`
when `n = 1, (lambda)/(2) = (b^(2))/(2d) , lambda = (b^(2))/(d)`
`n = 2, 3 xx lambda/2 = (b^(2))/(2d), lambda = (b^(2))/(3d)`.


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