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YDSE is carried with two thin sheets of ...

YDSE is carried with two thin sheets of thickness 10.4`mu` m each and refractive index `mu_1 = 1.52 and mu_2 = 1.40` covering the slits `S_1 and S_2` respectively. If white light of range 400nm to 780 nm is used, then which wavelength will form maxima exactly at point O, the centre of the screen

A

(a) 416 nm only

B

(b) 624 nm only

C

(c)416 nm and 624nm only

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax_1 = (mu_1 -1), Deltax_2= (mu_2 -1)t`
`:. Deltax = (mu_1 - mu_2)t`
` =(1.52-1.40)(10400 nm)`
=1248 nm
For maximum intensity,
`Deltax = 1248 = n lambda`
`:. lambda = 1248/n `
For `n=2, lambda=624 nm `
and for `n=3, lambda = 416nm` .
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