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Asked by eknathmote50 | 25 May, 2019, 11:28: AM
answered-by-expert Expert Answer
Under the approximation, D>>d,
 
Path difference, Δx= dy/D 
 
y = d/2 
 
Hence, 
Δx = d(d/2)/D = d2/2D ... (1)
 
Also, 
nλ = dy/D = Δx ...(2) 
 
Thus,
λ = d2/2nD ... (3)  ...(from (1) and (2))
where, n = 1,2,3 ...
 
Thus substituting values of n in (3), we get,
λ  = d2/2D, d2/4D, d2/6D ...
 
Thus, possible wavelengths used in experiment is d2/2D, d2/4D, d2/6D ...
 
Correct option is (C)
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