Asked by Delli
Light that is polarized along the vertical direction is incident on a sheet of polarizing material. Only 94% 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?
Answers
Answered by
drwls
If no light gets through the second material, it must be passing only light polarized in the horizontal direction (perpendicular to the "transmission axis") of the first sheet.
Answered by
Anonymous
We can use Malus law to solve this problem, equaiton 24.7:
S=Socos2Θ
S=amount of light leaving
So = amount of light entering
We know that S/So = 94%, or 0.94
Now, to solve for Θ from Malus law
S/So =cos2 Θ
Θ=cos-1 sqrt (S/So)
Θ= cos-1 sqrt (0.94)
Θ= 14.18
We subtract this from 90 due to respct to the vertical
so 90-14.18= 75.82 degrees
S=Socos2Θ
S=amount of light leaving
So = amount of light entering
We know that S/So = 94%, or 0.94
Now, to solve for Θ from Malus law
S/So =cos2 Θ
Θ=cos-1 sqrt (S/So)
Θ= cos-1 sqrt (0.94)
Θ= 14.18
We subtract this from 90 due to respct to the vertical
so 90-14.18= 75.82 degrees
Answered by
Brianna
The solution is almost correct, except that for the final answer it would be 90 + 14.18 = 104.18 degrees because the first sheet is already rotated 14.18 degrees from the vertical.
Answered by
Brianna
My apologies: the range for Θ is between 0 and 90 degrees, so the original answer of 75.82 degrees is correct.
Answered by
Giselle
No, the correct answer is 90 + 14.18 = 104.18
Answered by
Phillip
Both are correct. One (~75) rotates the opposite direction of the original rotation and one continues in the same direction (~104). The question asks the angle to the vertical.
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