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s I Zazzle x US x CAD Assignment 7-STP x D Assembly Basiesu 11.pdf x G Chapter 33, Problem o41 x Vledugen.wileyplus.com/edugen/lti/main.uni Return to Blackboard alliday, Fundamentals of Physics, 10e l System Announcements Unread) PRINTER VERSION .BACK NEXT Chapter 33, Problem 041 Z Your answer is partially correct. Try again. A beam of polarized light is sent into a system of two polarizing sheets. Relative to the polarization direction of that incident light, the polarizing directions of the sheets are at angles e for the first sheet and 90° for the second sheet. If 0.15 of the incident intensity is transmitted bythe two sheets, what is 8? Number 22.7 UnitsTe (degrees) the tolerance is +/-2% SHOW HINT LINK TO SAMPLE PROBLEM VIDEO MINI-LECTURE LINK TO TEXT Question Attempts: 3 of 8 used SAVE FOR LATER SUBMIT ANSWE Copyright 2000-2017 by John Wiley & Sons, Inc. or related companies. All rights reserved

Explanation / Answer

Polarisation - Two polarised sheets

The incident beam of light sent into the system of two polarised sheets is polarized.

The intensity after the first polarizer is given by the equation according to "Cosine-squared rule" or "Malus's law" as shown below:

I1 = I0 cos2 - (1)

After the light passes through the second polarizer the intensity is given by,

I2 = I1 cos2 (90o ) - (2)

Now substitute for I1 from equation (1) into equation (2). Then we get

I2 = (I0 cos2 ) [ cos2 (90o )] - (3)

According to trigonometric identities, cos (90° – ) = sin

Therefore cos2 (90° – ) = sin2

By substituting this in equation (3), we get

I2 = I0cos2 sin2 - (4)

We are given that 0.15 (i.e, 15%) of the incident intensity is transmitted by the two polarizing sheets.

Therefore we have I2 = (0.15) x (I0) - (5)

Equating (4) and (5), we get

(0.15) x (I0) =  I0(cos2 sin2 )

(cos2 sin2 ) = 0.15

  (cos sin ) = 0.15 = 0.38

Use the following trigonometric identity:

sin2 = 2 sincos

(sin2) / 2 = sincos = 0.38

sin2 = (2) (0.38)

sin2 = 0.76

= (1/ 2)[( sin-1 (0.76)]

= (1/ 2) [49.46]

= 24.73 0 . So the value of is 24.73 degrees

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