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Solved: Visible light passes through a diffraction grating
Chapter 36, Problem 31E(choose chapter or problem)
Visible light passes through a diffraction grating that has 900 slits/cm, and the interference pattern is observed on a screen that is 250 m from the grating. (a) Is the angular position of the first-order spectrum small enough for \(\sin \theta \approx \theta\) to be a good approximation? (b) In the first-order spectrum, the maxima for two different wavelengths are separated on the screen by 3.00 mm. What is the difference in these wavelengths?
Equation Transcription:
Text Transcription:
Sin theta almost equals theta
Questions & Answers
QUESTION:
Visible light passes through a diffraction grating that has 900 slits/cm, and the interference pattern is observed on a screen that is 250 m from the grating. (a) Is the angular position of the first-order spectrum small enough for \(\sin \theta \approx \theta\) to be a good approximation? (b) In the first-order spectrum, the maxima for two different wavelengths are separated on the screen by 3.00 mm. What is the difference in these wavelengths?
Equation Transcription:
Text Transcription:
Sin theta almost equals theta
ANSWER:
Solution 31E
Step 1 of 3
