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Light from a sodium vapor lamp (λ-589 nm) forms an interference pattern on a screen 0.91 m from a pair of slits in a double-slit experiment. The bright fringes near the center of the pattern are 0.19 cm apart. Determine the separation between the slits. Assume the small-angle approximation is valid here.

Respuesta :

Answer:

separation between the slits is 0.28 mm

Explanation:

given data

wave length λ = 589 nm = 589 × [tex]10^{-9}[/tex] m

distance between slits and the screen D = 0.91 m

fringes weight y = 0.19 cm = 0.19 × [tex]10^{-2}[/tex] m

solution

we find here the spacing between the two slits i.e d

so use here formula that is

y = λD ÷ d       .........................1

put here value we get

0.19 × [tex]10^{-2}[/tex] = [tex]\frac{589*10^{-9}*0.91}{d}[/tex]

solve we get

d = 0.28 mm

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