‘ n ’ polarizing sheets are arranged such that each makes an angle 45 ° with the proceeding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be I 64 . The value of n will be:

Step-by-step solution

When an unpolarized light passes through a polariser, the intensity of the emergent light from the polariser depends on the square of the cosine of the angle between the plane of the polariser and the direction of the incident light. The formula to calculate the intensity I 1 of the emergent light from a polariser which makes an angle θ with the direction of the incident light is given by I 1 =   I cos 2 θ . . . . . . . . . . . . . . . . . . ( 1 ) where, I is the intensity of the incident light. Subs