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15 May, 10:24

Some unpolarized light has an intensity of 1375 W/m2 before passing through three polarizing filters. The transmission axis of the first filter is vertical. The second filter's transmission axis is 31.0° from vertical. The third filter's transmission axis is 41.0° from vertical. What is the intensity of the light that emerges from the three filters?

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  1. 15 May, 14:15
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    intensity of the light that emerges from the three filters is 560.80 W/m²

    Explanation:

    Given data

    intensity I = 1375 W/m2

    angle 1 = 31.0°

    angle 2 = 41.0°

    to find out

    intensity of the light that emerges from the three filters

    solution

    we know intensity of light pass 1st polarize = I/2 = 1375 / 2 = 687.5 W/m2

    so intensity after 2nd polarize pass = I 1st cos² (θ)

    I 2nd = 687.5 cos² (31) = 687.5 (0.836754) = 575.27 W/m2

    and

    intensity after 3rd polarize pass = I 2nd cos² (θ)

    I 3rd = 575.27 cos² (41) = 575.27 (0.974839) = 560.80 W/m2

    so that intensity of the light that emerges from the three filters is 560.80 W/m²
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