During a Young's double slit experiment with monochromatic light, introducing a mica sheet of refractive index 1.6 and thickness 1.964 micron ( 1 micron = 10⁻⁶ m ) into the path of one of the interfering waves causes the fringe pattern to shift by a specific distance on the screen. Following the removal of the mica sheet, the distance between the slits and the screen is doubled. It is observed that the new distance b

Step-by-step solution

The fringe shift produced by introducing a mica sheet of thickness t and refractive index in the path of one of the interfering waves is given by: y = D d ( - 1)t where D is the distance between the slits and the screen, and d is the distance between the slits. When the mica sheet is removed and the distance between the slits and the screen is doubled to 2D , the new fringe width (distance between successive maxima) becomes: W' = (2D) d According to the given condition, the new fringe width equals the initial fring