Avertically polarized beam of light of intensity 100 w/m2 passes through two ideal polarizers. the transmission axis of the first polarizer makes an angle of 20.0° with the vertical, and the transmission axis of the second one makes an angle of 40.0° with the vertical. what is the intensity of the light after it has passes through both polarizers?

To solve the problem it is necessary to apply the Malus Law. Malus's law indicates that the intensity of a linearly polarized beam of light, which passes through a perfect analyzer with a vertical optical axis is equivalent to:

Where,

indicates the intensity of the light before passing through the polarizer,

I is the resulting intensity, and

indicates the angle between the axis of the analyzer and the polarization axis of the incident light.

Since we have two objects the law would be,

Replacing the values,

Therefore the intesity of the light after it has passes through both polarizers is

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option number c is the right answer.