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Unpolarised light of intensity I0 passes...

Unpolarised light of intensity `I_0` passes through two polaroids `P_1 and P_2` such that pass axis of `P_1`. A third polaroid `P_3` is placed between `P_1 and P_2` with pass axis of `P_3` making an angle `60^@` with that of `P_1`. Determine the intensities of light transmitted by `P_1, P_2 and P_3`.

Text Solution

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Let `I_1, I_2 and I_3` are the intensities of light after passing through `P_1, P_2 and P_3` respectively.
`I_1 = I_0//2`
`I_3 = I_1 cos^2 60^@ = ((I_0)/2)(1/4)`
`implies I_3 = I_0//8`
`I_2 = I_3 cos^2 30^@ = ((I_0)/8)(3/4)`
`implies I_2 = 3I_0//32`
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