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Show that if you have three polarizing filters, with the second at an angle of $45^{\circ}$ to the first and the third at an angle of $90.0^{\circ}$ to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensityto zero, so that placing the second between them increases the intensity of the transmitted light.)

Therefore, the intensity of light after passing through all the three filters is 25$\%$ of theinitial intensity.

Physics 103

Chapter 27

Wave Optics

Simon Fraser University

Hope College

University of Sheffield

McMaster University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

01:28

Show that if you have thre…

00:28

The angle between the axes…

10:49

*Unpolarized light passes …

02:24

Unpolarized light with i…

01:52

Unpolarized light of inte…

04:40

Three polarizing filters a…

02:42

Three Polarizing Filters. …

01:55

00:56

03:01

$\bullet$ Three ideal pola…

02:46

02:55

Unpolarized light is incid…

01:49

$\bullet$ Two ideal polari…

01:04

You use a sequence of idea…

02:22

Unpolarized light of inten…

01:09

Prove that, if $I$ is the …

01:31

At the end of Example $27.…

01:39

Show that a diffraction gr…

00:41

If you have completely pol…

00:46

Additional ProblemsThr…

After the first filter, the intensity we have is i not then, after the second filter, we have intensity. I 1. After third, we have intensity. I 2 point we can write. I 1 is equal to. I not cos square theta, whereas i 2 is equal to. I 1 cos square theta 2 point. Then we can substitute the value of i 1. So this is theta 1 here, which is, i nod, cos square theta 1 times cos square theta 2 point so substituting the values for a that worn had to do, which is 45 degrees. I 2 will be. I nod times cos 45 degree square, cos. 45 degrees square, so simplifying this expression we get here, i 2 to be 0.25, not.

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In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

Show that if you have three polarizing filters, with the second at an angle …

The angle between the axes of two polarizing filters is $45.0^{\circ} .$ By …

*Unpolarized light passes through three polarizers. The second makes an angl…

Unpolarized light with intensity $350 \mathrm{W} / \mathrm{m}^{2}$ passes …

Unpolarized light of intensity $I_{0}$ is incident on three polarizing filt…

Three polarizing filters are stacked with the polarizing axes of the second …

Three Polarizing Filters. Three polarizing filters are stacked with the pola…

Three polarizing filters are stacked, with the polarizing axis of the second…

$\bullet$ Three ideal polarizing filters are stacked, with the polarizing ax…

Unpolarized light is incident on a system of three polarizers. The second po…

$\bullet$ Two ideal polarizing filters are oriented so that they transmit th…

You use a sequence of ideal polarizing filters, each with its axis making th…

Unpolarized light of intensity 20.0 $\mathrm {W/cm}^2$ is incident on two po…

Prove that, if $I$ is the intensity of light transmitted by two polarizing f…

At the end of Example $27.8,$ it was stated that the intensity of polarized …

Show that a diffraction grating cannot produce a second- order maximum for a…

If you have completely polarized light of intensity $150 \mathrm{W} / \mathr…

Additional ProblemsThree polarizing sheets are stacked. The first and th…

A relatively long-lived excited state of an atom has a lifetime of 3.00 ms. …

01:02

Find the wavelength of light that has its third minimum at an angle of $48.6…

07:30

Integrated ConceptsA laser with a power output of 2.00 mW at a wavelengt…

02:02

(a) Calculate the angle at which a $2.00-\mu m$ -wide slit produces its firs…

00:50

(a) At what angle is the first minimum for 550 -nm light falling on a single…

00:54

What is Brewster’s angle for light traveling in water that is reflected from…

03:33

Assuming that 10.0% of a 100-W light bulb’s energy output is in the visible …

01:14

The 300-m-diameter Arecibo radio telescope pictured in Figure 27.28 detects …

02:16

Repeat Exercise $27.71,$ but take the light to be incident at a $45^{\circ}$…

01:29

Unreasonable ResultsTo save money on making military aircraft invisible …