Answer :
Angular width is related to the slit spacing (d) as:
θ = λ/d
Thus,
d = λ/θ
Where,
λ is the wavelength of light
θ is the angular width of the fringe on the screen
d is the spacing between the two slits.
Given,
Wavelength of light, λ = 600 nm = 600 × 10 - 9 m
The angular width of the fringe θ = 0.1°
Note: The given angular width is in degrees, We must convert degrees into radiant for the angular width of the fringe.
Thus, Angular width, θ of the fringe can be written in radians as
⇒
d =
⇒ d = 3.44 × 10 - 4 m
The spacing between the two slits “d” is 3.44 × 10 - 4 m
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