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A screen is at a distance \( D=80 \mathrm{~cm} \) from a diaphragm having two narrow slits \( S_{1} \) and \( S_{2} \) which are \( 2 \mathrm{~mm} \) apart. Slit \( S_{1} \) is covered by a transparent sheet of thickness \( t_{1}=2.5 \mu \mathrm{m} \) and \( S_{2} \) by another sheet of thickness \( t_{2}=1.25 \mu \mathrm{m} \) as shown in figure-6.131. Both sheets are made of same material
Figure 6.131
having refractive index \( \mu=1.40 \). Water in filled in space between diaphragm and screen. A monochromatic light beam of wavelength \( \lambda=5000 \AA \) is incident normally on the diaphragm. Assuming intensity of beam to be uniform and slits of equal width, calculate ratio of intensity at \( C \) to maximum intensity of interference pattern obtained on the screen, where \( C \) is foot of perpendicular bisector of \( S_{1} S_{2} \). Refractive index of water \( \mu_{w}=4 / 3 \)
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