Question:
In double-slit experiment using light of wavelength 600 nm, the angular width of a fringe formed on a distant screen is 0.1degree . What is the spacing between the two slits?
Answer:
Wavelength of light (λ) = 6000 nm = 600 x 10-9 m
Angular width of fringe (θ) = 0.1° = 0.1 x λ/180 = 3.14/1800 rad
Angular width of a fringe is related to slit spacing (d)
θ = λ/d
d = λ/ θ
= 600 x 10-9/ 3.14/1800
= 3.44 x 10-4 m
Therefore, the spacing between the slits is 3.44 x 10-4 m.
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