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, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated use of Malus's law. I = units 02
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, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated use of Malus's law. I = units 02
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![The image describes an experiment involving three polarizing plates with planes parallel and centered on a common axis. These plates, depicted as three disks, allow polarized light to pass through, each with a specific transmission axis angle relative to a vertical reference direction.
A linearly polarized beam of light with an initial intensity \( I_i = 13.0 \) units is directed at the first disk. The goal is to calculate the transmitted intensity \( I_f \) after the beam passes through all three polarizers.
The angles of the transmission axes for the three plates are provided as:
- \( \theta_1 = 19.0^\circ \)
- \( \theta_2 = 41.0^\circ \)
- \( \theta_3 = 59.0^\circ \)
The equations use Malus's Law to find the transmitted intensity: \( I_f = I_i \cos^2(\theta) \).
A diagram is present showing the light entering as \( I_i \) on the left, passing through the polarizers labeled with their respective angles (\( \theta_1 \), \( \theta_2 \), \( \theta_3 \)), and exiting on the right as \( I_f \).
Hint provided is to apply Malus's law repeatedly for each polarizer to find the final intensity \( I_f \).
Fill in \( I_f = \) _______ units using the formula and angles provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ba6e224-7cc0-4423-b587-8fa59991103b%2Fd36a1298-95bd-4ff6-9bc0-639d191ff9d2%2F56ttys9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image describes an experiment involving three polarizing plates with planes parallel and centered on a common axis. These plates, depicted as three disks, allow polarized light to pass through, each with a specific transmission axis angle relative to a vertical reference direction.
A linearly polarized beam of light with an initial intensity \( I_i = 13.0 \) units is directed at the first disk. The goal is to calculate the transmitted intensity \( I_f \) after the beam passes through all three polarizers.
The angles of the transmission axes for the three plates are provided as:
- \( \theta_1 = 19.0^\circ \)
- \( \theta_2 = 41.0^\circ \)
- \( \theta_3 = 59.0^\circ \)
The equations use Malus's Law to find the transmitted intensity: \( I_f = I_i \cos^2(\theta) \).
A diagram is present showing the light entering as \( I_i \) on the left, passing through the polarizers labeled with their respective angles (\( \theta_1 \), \( \theta_2 \), \( \theta_3 \)), and exiting on the right as \( I_f \).
Hint provided is to apply Malus's law repeatedly for each polarizer to find the final intensity \( I_f \).
Fill in \( I_f = \) _______ units using the formula and angles provided.
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