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?

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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