JEE Advanced | 2014Current Electricity and Electrical InstrumentHard
Question
A light source, which emits two wavelengths λ1= 400 nm and λ2= 600 nm, is used in a Young′s double slitexperiment. If recorded fringe widths for λ1and λ2are β1and β2and the number of fringes for them withina distance y on one side of the central maximum are m1and m2, respectively, then
Options
A.β2 > β1
B.m1 > m2
C.Form the central maximum, 3rd maximum of λ2overlaps with 5th minimum of λ1
D.The angular separation of fringes for λ1is greater than λ2
Solution
β = 
⇒ β2 > β1 ∵ λ1 > λ1
Also, m =
⇒ m1 > m2
3rd maxima of λ2 lies at 3(600 nm) ×
= (1800 nm) 
5th minima of λ1 lies at (2 × 5 - 1), (400) ×
= (1800 nm)
Angular separation is
⇒ It is more for λ2.
⇒ β2 > β1 ∵ λ1 > λ1Also, m =
⇒ m1 > m2 3rd maxima of λ2 lies at 3(600 nm) ×
= (1800 nm) 5th minima of λ1 lies at (2 × 5 - 1), (400) ×
= (1800 nm)Angular separation is
⇒ It is more for λ2.Create a free account to view solution
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