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

Options

A. `lambda = (b^(2))/(d)`
B. `lambda = (2b^(2))/(d)`
C. `lambda = (b^(2))/(3d)`
D. `lambda = (2b^(2))/(3d)`

Answer

a.,c

Explanation

`y = (2n - 1) (lambda)/(2) (D)/(d) = (2n - 1) (lambda)/(2) (D)/(b)`
`(because d =b)`
`y = b // 2`
`:. (b)/(2) = (2n -1) (lambda)/(2) (D)/(d)`
`implies lambda = (b^(2))/((2n - 1)D)`
When n = 1, 2,
`lambda= (b^(2))/(D') , (b^(2))/(3D')`