Q.

'n' polarizing sheets are arranged such that each makes an angle 45° with the preceding sheet. An unpolarized light of intensity I is incident into this arrangement. The output intensity is found to be I64. The value of n will be                   [2023]

1 3  
2 6  
3 5  
4 4  

Ans.

(2)

After passing through first sheet  I1=l2

After passing through second sheet

I2=I1cos2(45°)=l4

After passing through nth sheet

In=I2n=I64  n=6