Q. 164.0( 8 Votes )
In double - slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is 0.1°. What is the spacing between the two slits?
Angular width is related to the slit spacing (d) as:
θ = λ/d
d = λ/θ
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.
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 = 3.44 × 10 - 4 m
The spacing between the two slits “d” is 3.44 × 10 - 4 m
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