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In a YDSE setup a parallel light beam co...

In a YDSE setup a parallel light beam containing two wavelength `4000 Å` and `5600 Å` is allowed to incident at an angle `30^(@)` on a diaphragm having two narrow slits at a separation 2 mm as shown in figure-6.46. The screen is placed at a distance 40 cm from the slits. A mica film of thickness 5 mm is placed in front of one of the slits and the whole apparatus is submerged in water. If the central bright fringe is observed at point C, which is equidistant from both the slits. Calculate
(a) The refractive index of the slab.
(b) The distance of the first black line from C.

[(a) 1.6, (b) 210 `mum`]

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