Light that is polarized along the vertical direction is incident on a sheet of p

Question

Light that is polarized along the vertical direction is incident on a sheet of polarizing material. Only 98% of the intensity of the light passes through the sheet and strikes a second sheet of polarizing material. No light passes through the second sheet. What angle does the transmission axis of the second sheet make with the vertical? (Let the +y-axis represent the upward vertical direction. Express your answer as a value between 0 degree and 180 degree.) 81.87 degree counter-clockwise from the +y-axis

Explanation / Answer

Here ,

let the angle of first sheet is theta with vertical

Now, 0.98 = cos^2(theta1)

theta1 = 8.13 degree

Now, as no light passes the second polarizer

0 = cos^2(theta2 - theta1)

theta2 - theta1 = 90

theta2 = 90 + 8.13

theta = 98.13 degree

the angle is 98.13 degree

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