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

Answer

A, C

Explanation

Here `y=(2n-1)(lamda)/(2)(D)/(d)=(2n-1)(lamda)/(2)(d)/(b)`
`(:' d=b and D=d)`
But `y=(b)/(2)
`:'``(b)/(2)=(2n-1)(lamda)/(2)(d)/(b)`
`implies` `lamda=(b^(2))/((2n-1))` when `n=1,2`
`lamda=(b^(2))/(d)`,`b^(2)/(3d)`,…