In the figure, a beam of light, with intensity 62 W/m 2 and polarization paralle

Question

In the figure, a beam of light, with intensity 62 W/m2 and polarization parallel to a y axis, is sent into a system of two polarizing sheets with polarizing directions at angles of ?1 = 67

In the figure, a beam of light, with intensity 62 W/m2 and polarization parallel to a y axis, is sent into a system of two polarizing sheets with polarizing directions at angles of ?1 = 67 degree and ?2 = 90 degree to the y axis. What is the intensity of the light transmitted by the two-sheet system? The number of significant digits is set to 2; the tolerance is +/-2%

Explanation / Answer

intensity through a polarizer at an angle theta is given bt I = I0 cos^2theta

so after the first sheet the intensity will be = I1 = I0 cos^2 theta 1

the beam will be polarized with angle theta 1 with initial axis and with angle 90-theta 1

I1 = I0cos^2theta1*cos^2(90-theta1)

I0 cos^2theta1 * sin^2theta1 = 8.02 W/m^2

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