You have been asked to measure the width of a slit in a piece of paper. You mount the paper 80.0 centimeters from a screen and illuminate it from behind with laser light of wavelength 633 nanometers (in air). You mark two of the intensity minima as shown in the figure, and measure the distance between them to be 17.9 millimeters. (Figure 1) What is the width a of the slit? Express your answer in micrometers, to three significant figures. • View Available Hint(s) ? a =

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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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**Educational Content Transcription:**

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**Slit Width Measurement Activity**

You have been tasked with measuring the width of a slit in a piece of paper. The setup involves mounting the paper 80.0 centimeters from a screen and illuminating it from behind with laser light having a wavelength of 633 nanometers (in air). The goal is to mark two intensity minima as shown in the figure and measure the distance between them, which is given as 17.9 millimeters. ([Figure 1](#))

**Figure Explanation:**

The figure displays a series of light and dark bands, known as an interference pattern, resulting from light passing through the slit. The central bright band is flanked by alternating dark and bright bands. The measured distance between two dark bands (intensity minima) is labeled as 17.9 mm.

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**Question:**

1. **What is the width (a) of the slit?**
   - *Express your answer in micrometers, to three significant figures.*
   - [View Available Hint(s)](#)

   - Input box: a = ___ µm
   - *Submit button*

---

**Part B:**

- **If the entire apparatus were submerged in water, would the width of the central peak change?**

   - [View Available Hint(s)](#)

   - Options:
     - The width would increase.
     - The width would decrease.
     - The width would not change.

   - *Submit button*

--- 

This interactive segment allows learners to apply concepts of wave interference and diffraction. The use of hints and input options encourages problem-solving and application of theoretical knowledge in practical scenarios.
Transcribed Image Text:**Educational Content Transcription:** --- **Slit Width Measurement Activity** You have been tasked with measuring the width of a slit in a piece of paper. The setup involves mounting the paper 80.0 centimeters from a screen and illuminating it from behind with laser light having a wavelength of 633 nanometers (in air). The goal is to mark two intensity minima as shown in the figure and measure the distance between them, which is given as 17.9 millimeters. ([Figure 1](#)) **Figure Explanation:** The figure displays a series of light and dark bands, known as an interference pattern, resulting from light passing through the slit. The central bright band is flanked by alternating dark and bright bands. The measured distance between two dark bands (intensity minima) is labeled as 17.9 mm. --- **Question:** 1. **What is the width (a) of the slit?** - *Express your answer in micrometers, to three significant figures.* - [View Available Hint(s)](#) - Input box: a = ___ µm - *Submit button* --- **Part B:** - **If the entire apparatus were submerged in water, would the width of the central peak change?** - [View Available Hint(s)](#) - Options: - The width would increase. - The width would decrease. - The width would not change. - *Submit button* --- This interactive segment allows learners to apply concepts of wave interference and diffraction. The use of hints and input options encourages problem-solving and application of theoretical knowledge in practical scenarios.
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