1. Light from a far away lightbulb is incident on a system of three polarizing f

Question

1. Light from a far away lightbulb is incident on a system of three polarizing filters. The axis of the first polarizer is vertical, the axes of the second and third polarizer are oriented at a counterclockwise angle of q2 and q3 with the vertical direction, respectively.
Which of the following statements is not true (i.e., which of the statements is false)?
I1=0.5·I0
If q2=90, then I3=0 always.
The light behind the third polarizer is polarized at q3 with respect to the vertical.
I3=0.5·I0cos2q2cos2(q3-q2)
If q3=90, then I3=0 always.

2. I0 is 740 mW/m2, q2 is 21 degrees, and q3 is 55 degrees. What is I2?

3. With the above numbers, what is I3?

1. Light from a far away lightbulb is incident on a system of three polarizing filters. The axis of the first polarizer is vertical, the axes of the second and third polarizer are oriented at a counterclockwise angle of q2 and q3 with the vertical direction, respectively. Which of the following statements is not true (i.e., which of the statements is false)? I1=0.5I0 If q2=90?, then I3=0 always. The light behind the third polarizer is polarized at q3 with respect to the vertical. I3=0.5I0cos2q2cos2(q3-q2) If q3=90?, then I3=0 always. 2. I0 is 740 mW/m2, q2 is 21 degrees, and q3 is 55 degrees. What is I2? 3. With the above numbers, what is I3?

Explanation / Answer

1. If q3=900, then I3=0 always. is false statement
I3=0.5·I0cos2q2cos2(q3-q2) even if q3=900 with respect vertical ,there exist out coming intensity from I3 2. I2= I1cos2       = 0.5 I0cos2( 2)       =0.5 x 740 x 10-3W/m2 x cos2(21)0       =322.4 x 10 -3W/m2       =322.4 x 10 -3W/m2
3.I3=0.5·I0cos2q2cos2(q3-q2)       =0.5 x  740 x 10-3W/m2 x cos2(21)0 x cos2(34)0       =221.4 x 10-3W/m2       =221.4 x 10-3W/m2

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