Chapter 36: Problem 25
If a diffraction grating produces its third-order bright band at an angle of 78.4\(^\circ\) for light of wavelength 681 nm, find (a) the number of slits per centimeter for the grating and (b) the angular location of the first-order and second-order bright bands. (c) Will there be a fourth-order bright band? Explain.
Short Answer
Step by step solution
Understanding the Diffraction Formula
Calculate Slit Separation for Third-Order Band
Convert Slit Separation to Slits per Centimeter
First-Order Bright Band Calculation
Second-Order Bright Band Calculation
Check for Fourth-Order Bright Band
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Diffraction Formula
- \( d \): Distance between slits
- \( \theta \): Angle of diffraction
- \( m \): Order of the bright band
- \( \lambda \): Wavelength of light
Wavelength of Light
Bright Band Orders
- First-order band: \( m = 1 \)
- Second-order band: \( m = 2 \)
- Third-order band: \( m = 3 \), and so on.