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 92% 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 and 180.)

___________________ counter-clockwise from the +y-axis

Explanation / Answer

Only 92.0% of the intensity of the light passes through thesheet and strikes a second sheet of polarizing material. No lightpasses through the second sheet.

for the first sheet we have malus law as

          I =Iocos2?1

     here(given)

     I/Io = 0.92

    so cos2?1 =0.92

         ?1 = cos-1?(0.92)

                = 16.43o

which is the angle the first sheet makes with transmossionaxis

here given no light passes through the second sheet i.eboth the sheets are in crossed position

so the angle the transmission axis of the second sheet makeswith the vertical is

    ?2 = ?1 +900

         = 16.430 + 900

          = 106.430

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