Suppose 633-nm laser light illuminates a single slit of width 2.74 x 10-4 m. Determine the angle from the laser beam's path to the third dark fringe. Additional Materials
Suppose 633-nm laser light illuminates a single slit of width 2.74 x 10-4 m. Determine the angle from the laser beam's path to the third dark fringe. Additional Materials
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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![**Problem:**
Suppose 633-nm laser light illuminates a single slit of width \(2.74 \times 10^{-4}\) m. Determine the angle from the laser beam's path to the third dark fringe.
**Solution:**
*To solve this problem, we'll apply the formula for the minima in a single-slit diffraction pattern:*
\[
a \sin \theta = m \lambda
\]
*where:*
- \(a\) is the slit width.
- \(\lambda\) is the wavelength of the light.
- \(\theta\) is the angle of the minima.
- \(m\) is the order of the dark fringe (for the third dark fringe, \(m = 3\)).
**Additional Materials:**
- [eBook](#)
**Explanation:**
*You will need to calculate \(\theta\) using the above equation. Plug in the given values for the wavelength, slit width, and order of the fringe to determine the angle to the third dark fringe using inverse sine.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6688bf34-803d-422e-8b53-54ed6c9e4dc2%2F6b2ed7b4-5e9f-417f-963d-29d3852e8087%2Fundanxk_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
Suppose 633-nm laser light illuminates a single slit of width \(2.74 \times 10^{-4}\) m. Determine the angle from the laser beam's path to the third dark fringe.
**Solution:**
*To solve this problem, we'll apply the formula for the minima in a single-slit diffraction pattern:*
\[
a \sin \theta = m \lambda
\]
*where:*
- \(a\) is the slit width.
- \(\lambda\) is the wavelength of the light.
- \(\theta\) is the angle of the minima.
- \(m\) is the order of the dark fringe (for the third dark fringe, \(m = 3\)).
**Additional Materials:**
- [eBook](#)
**Explanation:**
*You will need to calculate \(\theta\) using the above equation. Plug in the given values for the wavelength, slit width, and order of the fringe to determine the angle to the third dark fringe using inverse sine.*
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