Question

Coherent light with wavelength 500nm shines on a double slit with a screen 1.90m behind it. If the distance between the dark fringes is 3.30mm, what is the separation of the slits?

Answer 1

`2.88* 10^(-4)`

Step-by-step explanation:

λ = wavelength of the coherent light = 500 nm =
`500* 10^(-9)` nm

D = distance of the screen = 1.90 m

w = distance between dark fringes = 3.30 mm =
`3.30* 10^(-3)` m

d = separation of the slits

distance between dark fringes is given as

`w = (D\lambda )/(d)`

`3.30* 10^(-3) = ((1.90)(500* 10^(-9)) )/(d)`

`d = 2.88* 10^(-4)`