Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law: I= Io cos² e where I, is the intensity of the polarized light beam just before entering the polarizer. I is the intensity of the beam after through the and is the angular difference between the polarization angle of the incident beam and the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter. Figure Direction of wave travel 2 1 of 2 > ▾ ✓ Correct Part B What is TA 8TA-80 ⒸOTA + Previous Answers Submit polarization angle e, of the light emerging from the polarizer? (TA-80)/2 ▾ Part C ✓ Correct Previous Answere Submit If Io =20.0 W/m².00 25.0 degrees, and 8TA = 40.0 degrees, what is the transmitted intensity I₁? Express your answer numerically in watts per square meter for Part C or Pando for Part redo fort Cresor Part C keyboard shortcuts for Part C help for Part C Request Answer Part D Complete previous part(s) Part E Complete previous part(s) Part F Complete previous part(s) W/m²

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Learning Goal:
To understand polarization of light and how to use Malus's law to calculate the intensity of a
beam of light after passing through one or more polarizing filters.
The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. The
waves differ in that the top wave oscillates horizontally and the bottom wave oscillates
vertically. The direction of oscillation of a wave is called the polarization of the wave. The
upper wave is described as polarized in the +x direction whereas the lower wave is
polarized in the +y direction. In general, waves can be polarized along any direction.
Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of
oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers
to the oscillation direction of the electric field, not the magnetic field. In this problem all
figures depicting light waves illustrate only the electric field.
A linear polarizing filter, often just called a polarizer, is a device that only transmits light
polarized along a specific transmission axis direction. The amount of light that passes
through a filter is quantified in terms of its intensity. If the polarization angle of the incident
light matches the transmission axis of the polarizer, 100% of the light will pass through, so
the transmitted intensity will equal the incident intensity. More generally, the intensity of light
emerging from a polarizer is described by M
y Malus's
s's law:
I = Io cos² 0.
where I, is the intensity of the polarized light beam just before entering the polarizer. I is
the intensity of the transmitted light beam immediately after passing through the polarizer,
and is the angular difference between the polarization angle of the incident beam and the
transmission axis of the polarizer. After passing through the polarizer, the transmitted light is
polarized in the direction of the transmission axis of the polarizing filter.
Figure
hv
Direction of wave
travel
< 1 of 2 >
Submit
▾ Part B
Correct
What is the polarization angle 8, of the light emerging from the polarizer?
8₂
TA
8TA-80
OTA + Bu
Submit
Part C
I₁ =
Previous Answere
(OTA-80)/2
✓ Correct
If Io =20.0 W/m².00 = 25.0 degrees, and 8TA = 40.0 degrees, what is the transmitted intensity I₁?
Express your answer numerically in watts per square meter
for Part for Part do for Part redo forrt C resor Fart C keyboard shortcuts for Fart C help for Part C
Submit
Previous Answers
Provide Feedback
Request Answer
Part D Complete previous part(s)
Part E Complete previous part(s)
Part F Complete previous part(s)
W/m²
Transcribed Image Text:Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by M y Malus's s's law: I = Io cos² 0. where I, is the intensity of the polarized light beam just before entering the polarizer. I is the intensity of the transmitted light beam immediately after passing through the polarizer, and is the angular difference between the polarization angle of the incident beam and the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter. Figure hv Direction of wave travel < 1 of 2 > Submit ▾ Part B Correct What is the polarization angle 8, of the light emerging from the polarizer? 8₂ TA 8TA-80 OTA + Bu Submit Part C I₁ = Previous Answere (OTA-80)/2 ✓ Correct If Io =20.0 W/m².00 = 25.0 degrees, and 8TA = 40.0 degrees, what is the transmitted intensity I₁? Express your answer numerically in watts per square meter for Part for Part do for Part redo forrt C resor Fart C keyboard shortcuts for Fart C help for Part C Submit Previous Answers Provide Feedback Request Answer Part D Complete previous part(s) Part E Complete previous part(s) Part F Complete previous part(s) W/m²
Learning Goal:
To understand polarization of light and how to use Malus's law to calculate the intensity of a
beam of light after passing through one or more polarizing filters.
The two transverse waves shown in the figure (Figure 1) both travel in the +z direction. The
waves differ in that the top wave oscillates horizontally and the bottom wave oscillates
vertically. The direction of oscillation of a wave is called the polarization of the wave. The
upper wave is described as polarized in the +x direction whereas the lower wave is
polarized in the +y direction. In general, waves can be polarized along any direction.
Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of
oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers
to the oscillation direction of the electric field, not the magnetic field. In this problem all
figures depicting light waves illustrate only the electric field.
A linear polarizing filter, often just called a polarizer, is a device that only transmits light
polarized along a specific transmission axis direction. The amount of light that passes
through a filter is quantified in terms of its intensity. If the polarization angle of the incident
light matches the transmission axis of the polarizer, 100% of the light will pass through, so
the transmitted intensity will equal the incident intensity. More generally, the intensity of light
emerging from a polarizer is described by Malus's law:
I = Io cos² 0.
where I is the intensity of the polarized light beam just before entering the polarizer, I is
the intensity of the transmitted light beam immediately after passing through the polarizer,
and is the angular difference between the polarization angle of the incident beam and the
transmission axis of the polarizer. After passing through the polarizer, the transmitted light is
polarized in the direction of the transmission axis of the polarizing filter.
Figure
ko
Do
OTA
O
Polarizer
1₁
2 of 2
Transcribed Image Text:Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure (Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the +x direction whereas the lower wave is polarized in the +y direction. In general, waves can be polarized along any direction. Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction. The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law: I = Io cos² 0. where I is the intensity of the polarized light beam just before entering the polarizer, I is the intensity of the transmitted light beam immediately after passing through the polarizer, and is the angular difference between the polarization angle of the incident beam and the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter. Figure ko Do OTA O Polarizer 1₁ 2 of 2
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