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Polaroid Vision in a Spider Experiments show that the ground spider Drassodes cu

ID: 1491663 • Letter: P

Question

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 900 W/m2 shines from the sky onto the spider, and that the intensity transmitted by one of the polarizing eyes is 242 W/m2 .

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

Answer:58.8degrees

2.What is the intensity transmitted by the other polarizing eye? In W/m2

Explanation / Answer

given data

intensity Io=900W/m^2

I=242 W/m^2

solution:

  From Malus's law I = Io*cos(theta)^2,

where theta is the angle between light polarization and the polarizer axis.

242 = 900*(cos(theta))^2

theta 1 = 58.8 deg
Theta2 = theta1-pi/2 = 58.8-90 = -31.2 deg
Then I2 = I0cos(theta2)^2

I2=900*cos(-31.2)^2
I2 = 658 W/m^2