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Unpolarized light of intensity I0is incident on a stack of polarizing filters, each with its axis rotated 15Ëšcwwith respect to the previous filter. What light intensity emerges from the last filter?

Short Answer

Expert verified

The light of filter emerges from the last filter isI7=3.29.

Step by step solution

01

Definition of Electromagnetic fields and Waves:

Electromagnetic waves, or EM waves, are waves that are formed when an electric field and a magnetic field vibrate together. EM waves, in other words, are made up of oscillating magnetic and electric fields.

02

Definition of Light of Intensity:

The strength or amount of light produced by a certain lighting source is referred to as light intensity. It is a measurement of a light source's wavelength-weighted power.

03

We have to find value of intensity emerges from last filters:

Givenvalues:θ=15˚Weknowthat:I1=1/2I0Weuseformula:I2=I1cos2θFrompreviousformula,wehavetofindvalueforI7:First,wefindvalueforI2:I2=I1cos2θI2=102cos215˚I2=5×0.933I2=4.66(Substitutevaluesinequation.)

04

Substitute values in equation:

I3=I2cos2θI3=4.66cos2(15˚)I3=4.66×0.933I3=4.34

05

Next substitution in equation :

I4=I3cos2θI4=4.34cos2(15˚)I4=4.34×0.933I4=4.05

06

Next:

I5=I4cos2θI5=4.05cos2(15˚)I5=4.05×0.933I5=3.78

07

Substitution:

I6=I5cos2θI6=3.78cos2(15˚)I6=3.78×0.933I6=3.53

08

Finally, we calculate for I7:

I7=I6cos2θI7=3.53cos2(15˚)I7=3.53×0.933I7=3.29

09

Final result:

The result for the light of intensity I0is incident on a stack of 7polarizing filters and each axis rotated 15Ëšcwfrom previous filter to last filter is .

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