Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 25.7, Problem 1aTH

Identical beams of light are incident on three different pairs of (ideal) polarizers. The double arrow drawn on each polarizer represents its direction of polarization.

Chapter 25.7, Problem 1aTH, Identical beams of light are incident on three different pairs of (ideal) polarizers. The double , example  1Chapter 25.7, Problem 1aTH, Identical beams of light are incident on three different pairs of (ideal) polarizers. The double , example  2

  1. Suppose that the incident light in each case were unpolarized.

Rank the three cases (A−C) according to the intensity of the light transmitted past the second polarizer, from largest to smallest. If for any case no light is transmitted past the second polarizer, state that explicitly. Explain your reasoning.

Expert Solution & Answer
Check Mark
To determine

The ranking of intensity of light after passing through the second polarizer in each case.

Answer to Problem 1aTH

B<A=C

Explanation of Solution

Introduction:

The intensity of light passing through a polarizer depends directly on square of cosine of the angle. Smaller the angle between the two polarizer, greater will be the intensity of light passing through the second polarizer.

The angle between the two polariser is smallest in case A. hence the intensity of light is greatest in case A.

For case A and case C, the value of square of cosine of the angle between two polariser is same. Hence the intensity of light is same in case A and case C.

The angle between the two polariser is greatest in case B. hence the intensity of light is smallest in case B.

Conclusion:

Hence the intensity of light after passing through second polarizer is same in case A and case C and is greater than the intensity of light in case B.

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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 the plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity = 15.0 units (arbitrary). Calculate the transmitted intensity I, when ₁ = 19.0°, ₂ = 45.0°, and 3 = 61.0°. Hint: Make repeated use of 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 the plane of polarization parallel to the vertical reference direction is incident from the left on the first disk with intensity Ii = 10.7 units (arbitrary). Calculate the transmitted intensity, If, when θ1 = 19.6o. Do not enter units. Calculate the transmitted intensity, If, when θ2 = 39.4o. Do not enter units. Calculate the transmitted intensity, If, when θ3 = 61.2o. Do not enter 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, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁

Chapter 25 Solutions

Tutorials in Introductory Physics

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