1.Dueling Polarizers identical beams of light are incident on three different pairs of Gideal) polarizers. The double arrow drawn on each polarizer represents its direction of polarization Upolarized light Lepolarind Case C Upolarized a 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 so explicitly. Explain your reasoning b. Now suppose that the incident light in each case were polarized in the vertical direction. Rank the three cases (AC) according to the intensity of the light transmitted past the second polarizer, from largest to smallest. It for any case, no light is transmitted past the second polarizer, state so explicitly. Explain your reasoning 2. Unknown Polarizer Unpolarized light of intensity I, is incident on a pair of polarizers, as shown below. The direction of polarization of the first polarizer is vertical. The second polarizer has unknown orientation light of For each part below, determine whether it is possible for the light that reaches the observer to have the given value of intensity If so: Determine the direction of polarization of the second polarizer Show all work If not: Explain why not a. No light reaches the observer. b. Light of intensity Light of intensity reaches the observer. reaches the observer
1.Dueling Polarizers identical beams of light are incident on three different pairs of Gideal) polarizers. The double arrow drawn on each polarizer represents its direction of polarization Upolarized light Lepolarind Case C Upolarized a 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 so explicitly. Explain your reasoning b. Now suppose that the incident light in each case were polarized in the vertical direction. Rank the three cases (AC) according to the intensity of the light transmitted past the second polarizer, from largest to smallest. It for any case, no light is transmitted past the second polarizer, state so explicitly. Explain your reasoning 2. Unknown Polarizer Unpolarized light of intensity I, is incident on a pair of polarizers, as shown below. The direction of polarization of the first polarizer is vertical. The second polarizer has unknown orientation light of For each part below, determine whether it is possible for the light that reaches the observer to have the given value of intensity If so: Determine the direction of polarization of the second polarizer Show all work If not: Explain why not a. No light reaches the observer. b. Light of intensity Light of intensity reaches the observer. reaches the observer
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
Transcribed Image Text:**1. Doubling Polarizers**
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.
**Diagram Explanation:**
- **Case A:** The first and second polarizers are oriented at 0° and 0°.
- **Case B:** The first polarizer is at 0° and the second polarizer is oriented at 45°.
- **Case C:** The first polarizer is at 0° and the second polarizer is oriented at 90°.
**a.** 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 so explicitly. Explain your reasoning.
**b.** Now suppose that the incident light in each case were polarized in the vertical direction. 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 so explicitly. Explain your reasoning.
**2. Unknown Polarizer**
Unpolarized light of intensity \( I_0 \) is incident on a pair of polarizers, as shown below. The direction of polarization of the first polarizer is vertical. The second polarizer has unknown orientation.
**Diagram Explanation:**
- The first polarizer has a known vertical orientation.
- The second polarizer has an unknown orientation.
- An observer is placed to detect the light after it passes through the polarizers.
For each part below, determine whether it is possible for the light that reaches the observer to have the given value of intensity.
**a.** \( \sqrt{2}/2 \): Determine the direction of polarization of the second polarizer. Show all work.
If not, explain why not.
**b.** Light of intensity \( 1/2 \) reaches the observer.
**c.** Light of intensity \( 1/4 \) reaches the observer.
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