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Question
In Young’s double-slit experiment, 62 fringes are seen in the visible region for sodium light of wavelength 5893 Å. If violet light of wavelength 4359 Å is used in place of sodium light, then what is the number of fringes seen?
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Solution
From young’s double slit experiment,
λ1 = 5893 Å ; λ2 = 4359 Å
`("n"_1lambda_1"D")/"d" = ("n"_2lambda_2"D")/"d"`
The above condition is total extent of fringes is constant for both wavelengths.
`(62 xx 5893 xx 10^-10 xx "D")/"d" = ("n"_2 xx 4359 xx 10^-10 xx "D")/"d"`
`"n"_2 = (62 xx 5893)/4359 = 365366/4359 = 83.8`
`"n"_2 = 84`
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