Diffraction Grating Calculation

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Light of wavelength \(650\,\text{nm}\) is incident normally on a diffraction grating. The first-order maximum is observed at an angle of \(15°\) to the central maximum.

Part a

5 minutes 3 marks

Question

Calculate the number of lines per millimetre on the diffraction grating. [3]



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Hint

Use the diffraction grating equation \(n\lambda = d\,\sin\theta\) with \(n=1\), and solve for \(d\) then compute \(1/d\) and convert to lines per mm.

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Complete Answer

\(398 \text{ lines/mm}\)

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