Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I; = 12.0 units (arbitrary). Calculate the transmitted intensity I, when 0₁ = 17.0°, 0₂ = 35.0°, and 03 = 55.0°. Hint: Make repeated use of Malus's law. If= units
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I; = 12.0 units (arbitrary). Calculate the transmitted intensity I, when 0₁ = 17.0°, 0₂ = 35.0°, and 03 = 55.0°. Hint: Make repeated use of Malus's law. If= units
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![**Transcription for Educational Website:**
**Topic: Polarization and Malus's Law**
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light, with its plane of polarization parallel to the vertical reference direction, is incident from the left onto the first disk with an intensity \(I_i = 12.0\) units (arbitrary). Calculate the transmitted intensity \(I_f\) when \(\theta_1 = 17.0^\circ\), \(\theta_2 = 35.0^\circ\), and \(\theta_3 = 55.0^\circ\). **Hint:** Make repeated use of Malus's law.
**Intensity Calculation:**
\[ I_f = \text{________} \text{ units} \]
**Diagram Explanation:**
The diagram illustrates a sequence of three polarizing plates. Each plate is shown with a circular disk, symbolizing the polarizing filter, and is labeled with its respective angle (\(\theta_1\), \(\theta_2\), \(\theta_3\)) which denotes the orientation of the transmission axis relative to the vertical.
- The first plate is labeled with angle \(\theta_1 = 17.0^\circ\).
- The second plate is labeled with \(\theta_2 = 35.0^\circ\).
- The third plate is labeled \(\theta_3 = 55.0^\circ\).
An incident light beam of intensity \(I_i\) enters from the left side of the first plate. After passing through each plate, the light intensity is reduced based on the angle and Malus's law, leading to the final transmitted intensity \(I_f\) at the right end of the third plate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f1b7c10-7ca4-413c-bb43-fe1a15020101%2Fae2d0eb5-a2d0-4693-9a45-99a3efcc77f7%2Fpbsdzbs_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
**Topic: Polarization and Malus's Law**
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light, with its plane of polarization parallel to the vertical reference direction, is incident from the left onto the first disk with an intensity \(I_i = 12.0\) units (arbitrary). Calculate the transmitted intensity \(I_f\) when \(\theta_1 = 17.0^\circ\), \(\theta_2 = 35.0^\circ\), and \(\theta_3 = 55.0^\circ\). **Hint:** Make repeated use of Malus's law.
**Intensity Calculation:**
\[ I_f = \text{________} \text{ units} \]
**Diagram Explanation:**
The diagram illustrates a sequence of three polarizing plates. Each plate is shown with a circular disk, symbolizing the polarizing filter, and is labeled with its respective angle (\(\theta_1\), \(\theta_2\), \(\theta_3\)) which denotes the orientation of the transmission axis relative to the vertical.
- The first plate is labeled with angle \(\theta_1 = 17.0^\circ\).
- The second plate is labeled with \(\theta_2 = 35.0^\circ\).
- The third plate is labeled \(\theta_3 = 55.0^\circ\).
An incident light beam of intensity \(I_i\) enters from the left side of the first plate. After passing through each plate, the light intensity is reduced based on the angle and Malus's law, leading to the final transmitted intensity \(I_f\) at the right end of the third plate.
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