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Polaroid Vision in a Spider Experiments show that the ground spider Drassodes cupreus uses one of...

Polaroid Vision in a Spider Experiments show that the ground spider Drassodes cupreus uses one of its several pairs of eyes as a polarization detector. 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 800 W/m2 shines from the sky onto the spider, and that the intensity transmitted by one of the polarizing eyes is 212 W/m2 .

For this eye, what is the angle between the polarization direction of the eye and the polarization direction of the incident light?

What is the intensity transmitted by the other polarizing eye?

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Answer #1

Apply Malus's law

the equation for transmitted light intensity is

I1 = Io cos ^2 theta

theta = cos^-1 sqrt I1/Io

= cos^-1 sqrt 212/800

=59 degree

(b)

when transmitted light passes through other polarizing eye is

I2 = Io cos^2 ( 90- theta i)

I2 = Io sin^2 theta i

I2 = 800 sin^2 (59.0171)

=587.99 W/m^2

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