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?

Respuesta :

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]

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