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The unpolarized light is incident on a molecule. To the plane of paper, the dots show vibrations perpendicular, and in the plane of the paper, the double arrows show Vibrations. The electron in the molecule begins to vibrate in both of these directions. The electrons vibrating parallel to the plane can't send energy towards an observes looking at
to the direction of the Sun because their acceleration has no transverse component.
The light scattered by the molecules in this direction has only dots. It is polarized perpendicular to the plane of the paper. This explains the polarization of light scattered from the sky.
Now, the intensity of light transmitted by 1st polarised is,
The intensity of light transmitted by 2nd polaroid is,
The intensity of light transmitted by 3rd polarised is,