Answer:
option D= 50°
Explanation:
When sunlight passes through the first polarizer, the intensity reduces to its half
that is [tex]I_1=0.5I_o[/tex].........(1)
let the angle between the polarizers be θ
then we know that the intensity of light after passing through second polarizer is
[tex]I_2=I_1 cos\theta[/tex]
⇒[tex]I_2= 0.5I_o cos^2\theta[/tex]............(2) from (1)
also given that [tex]I_2=0.2I_o[/tex]..............(3)
equating 2 and 3 we get
[tex]0.2I_o=0.5I_ocos^2\theta[/tex]
on solving the above equation we get
θ= 50.75°≅50°
hence the angle between polarizers is 50°
option D is correct