Light of wavelength $$\(\lambda\)$$ is incident normally on a diffraction grating with a total number of $$\(N\)$$ lines in width $$\(w\)$$. A second order maximum is observed at an angle of diffraction $$\(\theta\)$$. What is $$\(N\)$$ ?
A.
\(\frac{w \lambda}{\sin \theta}\)
B.
\(\frac{2 w \lambda}{\sin \theta}\)
C.
\(\frac{w \sin \theta}{2 \lambda}\)
D.
\(\frac{w \sin \theta}{\lambda}\)
Exam No:9702_w24_qp_11 Year:2024 Question No:30
Answer:
C
Knowledge points:
8.4.1 recall and solve problems using the formula d sin i = nm
8.4.2 describe the use of a diffraction grating to determine the wavelength of light (the structure and use of the spectrometer are not included)
Solution:
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