Exam-style question
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Using the formula for fringe spacing in a diffraction grating, derive the relationship between the wavelength of light and the angle of diffraction for the first-order maximum.
Model answer
What a good answer should say
- The fringe spacing (x) is given by the formula x = λ / sin(θ), where λ is the wavelength and θ is the angle of diffraction.
- For the first-order maximum, this relationship shows that as the wavelength increases, the angle of diffraction also increases for a given grating spacing.
Explanation
Why this works
This question tests the ability to apply the formula for fringe spacing in a practical context, demonstrating how changes in wavelength affect diffraction angles, which is essential for understanding wave behavior.
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