experiments show that the ground spider drassodes cupreus uses one of its several pairs of eyes as a polarization defector. In fact, the two eyes in this pair have polarization directions that are at right angles to one another. Suppose linearly polarized light with an intensity of 900W/m2 shines from the sky onto the spider, and that theintensity transmitted by one of the polarizing eyes is 187 W/m2.(a) For this eye, what is the angle between thepolarization direction of the eye and the polarization direction ofthe incident light?_____________?°

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ConcepcionPetillo ConcepcionPetillo · Answer 1 · 2019-12-11T08:09:56+01:00

Answer:

The angle is [tex]62.88^{\circ}[/tex]

Solution:

As per the question:

Intensity of the linearly polarized light, I = [tex]900\ W/m^{2}[/tex]

Intensity transmitted, I' = [tex]187\ W/m^{2}[/tex]

Now,

To calculate the angle between the polarization direction of the eye and that of the incident light:

[tex]I' = Icos^{2}\theta [/tex]

Thus Rearranging the eqn for the angle and using the suitable values in the above eqn:

[tex]cos^{2}\theta = \frac{187}{900} = 0.2078[/tex]

[tex]cos\theta = \frac{187}{900} = 0.4558[/tex]

[tex]\theta = cos^{- 1}(0.4558) = 62.88^{\circ}[/tex]