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The degree of polarization of partially polarized light is `P = 0.25`. Find the ratio of intensities of the polarized component of this light and the natural component. |
Answer» Suppose the partially polarized consists of natural light of intensity `I_(1)` and plane polarized light of intensity `I_(2)` with direction of vibration parallel to, say, `x-axis`. Then when a polaroid is used to transmit, it the light transmitted will have a maximum intensity `(1)/(2)I_(1) + I_(2)`, when the principle direction of the polaroid is parallel to `x-`axis, and will ahve a minimum intensity `(1)/(2)I_(1)` when the principle direction is `_|_^(r )` to `x`-axis. Thus `P = (I_(max) - I_(min))/(I_(max) + I_(min)) = (I_(2))/(I_(1) + I_(2))` so `(I_(2))/(I_(1)) = (P)/(1- P) = (0.25)/(0.75) = (1)/(3)`. |
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