In Young's double slit experiment, the distance between the slits and the screen is 1.2 ~m and the distance between the two slits is 2.4 ~mm . If a thin transparent mica sheet of thickness 1 m and RI 1.5 is introduced between one of the interfering beams, the shift in the position of central bright fringe is

Step-by-step solution

Given, D=1.2 ~m , d=2.4 ~mm =2.4 10⁻³ ~m t=1 m =1 10⁻⁶ ~m and =1.5 When a transparent sheet is introduced in the path of one of the interfering beam, the shift in the position of central bright fringe is aligned y &=( -1) t D d &=(1.5-1) 1 10⁻⁶ 1.2 2.4 10⁻³ &= 0.5 10⁻⁶ 1.2 2.4 10⁻³ &=0.25 10⁻³ or 0.25 ~mm aligned