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A beam of natural light falls on a syste...

A beam of natural light falls on a system of 5 polaroids, which are arranged in succession such that the pass axis of each polaroid is turned through `60^(@)` with respect to the precending one. The friction of the incident light intensity that passes through the system is :

A

`1//64`

B

`1//32`

C

`1//256`

D

`1//128`

Text Solution

Verified by Experts

The correct Answer is:
D
Intensity after 1st polaroid,
`I_(1)= (I_(0))/(2)`
Intensity after 2nd polaroid,
`I_(2)= I_(1) cos^(2)60^(@)= (I_(0))/(2) xx ((1)/(2))^(2)= (I_(0))/(8)`
Intensity after 3rd polaroid,
`I_(3)= I_(2) cos^(2)60^(@)= (I_(0))/(8) xx ((1)/(2))^(2)= (I_(0))/(32)`
Intensity after 4th polaroid,
`I_(4)= I_(3) cos^(2)60^(@)= (I_(0))/(32) xx ((1)/(2))^(2)= (I_(0))/(128)`
Intensity after 5th polaroid,
`I_(5)= I_(4) cos^(2)60^(@)= (I_(0))/(128) xx ((1)/(2))^(2)= (I_(0))/(512)`
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