A bowl of water (n= 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer. Express your answer with the appropriate units. tmin = 8.83x10-8 m Submit Previous Answers v Correct Correct answer is shown. Your answer 88.28 nm(=8.828x10-8 m) was either rounded differently or used a different number of significant figures than required for this part. Part H Find the second smallest possible thickness. Express your answer with the appropriate units. HÀ t2 = Value nm

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### Problem Statement:
A bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer.

**Express your answer with the appropriate units.**

#### Answer:
\[ t_{\text{min}} = 8.83 \times 10^{-8} \text{ m} \]

**Correct Answer Explanation:**
Correct answer is shown. Your answer 88.28 nm ( = 8.828 \times 10^{-8} m ) was either rounded differently or used a different number of significant figures than required for this part.

### Part H

#### Problem Statement:
Find the second smallest possible thickness.

**Express your answer with the appropriate units.**

(_A text input box awaits user input._)

\[ t_2 = \text{Value} \ \text{nm} \]

### Notes:
- **n:** The refractive index of the materials involved.
- **t:** The thickness of the grease layer.
- **565 nm:** The wavelength of light in air for which the constructive reflection occurs.
- **Constructive Reflection:** occurs when the path difference between light rays results in them being in phase and thus reinforcing each other.

In this problem, the smallest thickness is identified as \( t_{\text{min}} = 8.83 \times 10^{-8} \text{ m} \). The task is to find the second smallest possible thickness for constructive interference to occur under similar conditions.
Transcribed Image Text:### Problem Statement: A bowl of water (n = 1.33) has a thin layer of grease (n = 1.60) floating on top of the water. When you illuminate the grease from above with monochromatic light, you get constructive reflection if the wavelength in air is 565 nm. Find the smallest possible thickness of the grease layer. **Express your answer with the appropriate units.** #### Answer: \[ t_{\text{min}} = 8.83 \times 10^{-8} \text{ m} \] **Correct Answer Explanation:** Correct answer is shown. Your answer 88.28 nm ( = 8.828 \times 10^{-8} m ) was either rounded differently or used a different number of significant figures than required for this part. ### Part H #### Problem Statement: Find the second smallest possible thickness. **Express your answer with the appropriate units.** (_A text input box awaits user input._) \[ t_2 = \text{Value} \ \text{nm} \] ### Notes: - **n:** The refractive index of the materials involved. - **t:** The thickness of the grease layer. - **565 nm:** The wavelength of light in air for which the constructive reflection occurs. - **Constructive Reflection:** occurs when the path difference between light rays results in them being in phase and thus reinforcing each other. In this problem, the smallest thickness is identified as \( t_{\text{min}} = 8.83 \times 10^{-8} \text{ m} \). The task is to find the second smallest possible thickness for constructive interference to occur under similar conditions.
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