Physics, 18.10.2019 06:30 izzysmith6836

A200 mw horizontally polarized laser beam passes through a polarizing filter whose axis is 25∘ from vertical.
what is the power of the laser beam as it emerges from the filter?
answer needs to be in mw

Answers: 2

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Answer from: jordan7626

35.7 mW

Explanation:

The intensity of light after passing through a polarizer is given by

$I=I_0 cos^2 \theta$

where

I_0 is the initial intensity of the light

$\theta$ is the angle between the direction of polarization of the initial light and the transmission axis of the polarizing filter

Keeping in mind that the power is directly proportional to the intensity:

$P \propto I$

we can rewrite the previous equation as

$P=P_0 cos^2 \theta$

where we have

P_0 = 200 mW

$\theta=90^{\circ}-25^{\circ}=65^{\circ}$ (because the initial light is horizontally polarized, while the axis of the filter is 25 degrees from the vertical

So, the power of the laser beam emerging from the filter is

$P=(200 mW) cos^2 65^{\circ}=35.7 mW$

Answer from: Quest

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