The circle below gives you a reference for the angles referred to in this proble
ID: 1552635 • Letter: T
Question
The circle below gives you a reference for the angles referred to in this problem.
A particular beam of light, with an intensity of 360 W/m2, is linearly polarized at an angle of +3.00° to the vertical. You have three polarizers, which have their transmission axes aligned as follows:
Polarizer A - the transmission axis is at +13.0° to the vertical;
Polarizer B - the transmission axis is at +77.0° to the vertical;
Polarizer C - the transmission axis is at +29.0° to the vertical.
You will select two of these polarizers, and have the light pass through one and then the other.
(a) If you want to maximize the intensity of the light emerging from the second polarizer, which two polarizers should you select, and in what order should the light pass through them?
The light should first pass through A, and then through B.
The light should first pass through B, and then through A.
Use polarizers A and B, but it does not matter which order they are in.
The light should first pass through A, and then through C.
The light should first pass through C, and then through A.
Use polarizers A and C, but it does not matter which order they are in.
The light should first pass through B, and then through C.
The light should first pass through C, and then through B.
Use polarizers B and C, but it does not matter which order they are in.
Use any two polarizers, and it does not matter which order they are in.
(b) For the situation in (a), when you maximize the intensity of the light emerging from the second polarizer, what is that intensity?
W/m2
(c) If, instead, you want to minimize the intensity of the light emerging from the second polarizer, which two polarizers should you select, and in what order should the light pass through them?
The light should first pass through A, and then through B.
The light should first pass through B, and then through A.
Use polarizers A and B, but it does not matter which order they are in.
The light should first pass through A, and then through C.
The light should first pass through C, and then through A.
Use polarizers A and C, but it does not matter which order they are in.
The light should first pass through B, and then through C.
The light should first pass through C, and then through B.
Use polarizers B and C, but it does not matter which order they are in.
Use any two polarizers, and it does not matter which order they are in.
(d) For the situation in (c), when you minimize the intensity of the light emerging from the second polarizer, what is that intensity?
W/m2
For the remaining parts of the problem, we now replace the original polarized light by unpolarized light of the same intensity. For reference, the intensity is 360W/m2, and the three polarizers have their transmission axes aligned as follows:
Polarizer A - the transmission axis is at +13.0° to the vertical;
Polarizer B - the transmission axis is at +77.0° to the vertical;
Polarizer C - the transmission axis is at +29.0° to the vertical.
(e) If you want to maximize the intensity of the light emerging from the second polarizer, which two polarizers should you select, and in what order should the light pass through them?
The light should first pass through A, and then through B.
The light should first pass through B, and then through A.
Use polarizers A and B, but it does not matter which order they are in.
The light should first pass through A, and then through C.
The light should first pass through C, and then through A.
Use polarizers A and C, but it does not matter which order they are in.
The light should first pass through B, and then through C.
The light should first pass through C, and then through B.
Use polarizers B and C, but it does not matter which order they are in.
Use any two polarizers, and it does not matter which order they are in.
(f) For the situation in (e), when you maximize the intensity of the light emerging from the second polarizer, what is that intensity?
W/m2
(g) If, instead, you want to minimize the intensity of the light emerging from the second polarizer, which two polarizers should you select, and in what order should the light pass through them?
The light should first pass through A, and then through B.
The light should first pass through B, and then through A.
Use polarizers A and B, but it does not matter which order they are in.
The light should first pass through A, and then through C.
The light should first pass through C, and then through A.
Use polarizers A and C, but it does not matter which order they are in.
The light should first pass through B, and then through C.
The light should first pass through C, and then through B.
Use polarizers B and C, but it does not matter which order they are in.
Use any two polarizers, and it does not matter which order they are in.
(h) For the situation in (g), when you minimize the intensity of the light emerging from the second polarizer, what is that intensity?
W/m2
Explanation / Answer
a)
The light should first pass through A, and then through C.
b)
I' = Io (Cos (13 - 3) Cos(29 - 13) )2
I' = (360) (Cos (13 - 3) Cos(29 - 13) )2
I' = 322.61
c)
The light should first pass through B, and then through A.
d)
I' = Io (Cos (77 - 3) Cos(13 - 77) )2
I' = (360) (Cos (77 - 3) Cos(13 - 77) )2
I' = 5.26
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