In Young's Double slit experiment using monochromatic light, the fringe pattern shifts by certain distance on the screen when mica sheet of refractive index 1.6 and thickness 1.964 microns is introduced in the path of one of the interfering waves. The mico sheet is then removed and the distance between the slits and screen is doubled. It is found that the distance between successive maxima now is same as the observed fringe shift upon the introduction of mica sheet. Calculate the wave length of the monochromatic light used in the experiment.

In Young's Double slit experiment using monochromatic light, the fringe pattern shifts by certain distance on the screen when mica sheet of refractive index 1.6 and thickness 1.964 microns is introduced in the path of one of the interfering waves. The mico sheet is then removed and the distance between the slits and screen is doubled. It is found that the distance between successive maxima now is same as the observed fringe shift upon the introduction of mica sheet. Calculate the wave length of the monochromatic light used in the experiment.