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Two Polaroids P(1) and P(2) are placed w...

Two Polaroids `P_(1)` and `P_(2)` are placed with their axis perpendicular to eachother. Unpolarised light `I_(0)` is nicident on `P_(1)`. A third polaroid `P_(3)` is kept in between `P_(1)` and `P_(2)` such that its axis makes an angle `45^(@)` with that of `P_(1)`. The intensity of transmitted light through `P_(2)` is

A

`(I_(0))/(4)`

B

`(I_(0))/(8)`

C

`(I_(0))/(16)`

D

`(I_(0))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I = I_(0) cos^(2)(phi) rArr phi = 45^(@)`
`I = (I_(0))/(2)`
then
`I_(0) = I_(1) cos^(2)(phi)`
`I_(0) = (I_(1))/(2) cos^(2) 45 rArr I_(2) = (I_(0))/(4)`
`I_(1) = I_(2) cos^(2) 45`
`I_(1) = (I_(0))/(8)`
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