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Q.

YDSE is carried with two thin sheets of thickness 10.4 mm each and refractive index μ1=1 52 . and μ2 =1.40 covering the slits S1 and S2 , respectively. If white light of range 400 nm to 780 nm is used, then which wavelength will form maxima exactly at point O, the centre of the screen.

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a

416 nm only

b

624 nm only

c

416 nm and 624 nm only

d

None of these

answer is C.

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Detailed Solution

x1=μ1-1, x2=μ2-1t x=μ1-μ2t      =(1.52-1.40)(10400 nm)      =1248 nm

For maximum intensity,

 x=1248=nλ    λ=1248n     (n=1,2,3,)

For         n=2, λ=624 nm

and for   n=3, λ=416 nm

 

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