Answer:
[tex] 2.88\times 10^{-4} [/tex]
Explanation:
λ = wavelength of the coherent light = 500 nm = [tex]500\times 10^{-9}[/tex] nm
D = distance of the screen = 1.90 m
w = distance between dark fringes = 3.30 mm = [tex]3.30\times 10^{-3}[/tex] m
d = separation of the slits
distance between dark fringes is given as
[tex]w = \frac{D\lambda }{d}[/tex]
[tex]3.30\times 10^{-3} = \frac{(1.90)(500\times 10^{-9}) }{d}[/tex]
[tex]d = 2.88\times 10^{-4} [/tex]