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Would you expect these lines to be distinguished by the grating in the 1st order?

Subject: Applied Physics 2

Topic: Interference And Diffraction

Difficulty: Medium


Light is incident normally on a grating 0.5 cm wide with 5000 lines. The λ s are 5890.2 & 5896.4 ˚A. Would you expect these lines to be distinguished by the grating in the 1st order?

1 Answer
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Width = 0.5 cm, N = 5000 lines /cm

Therefore total number of lines on grating is 50000.5=10000

Mean wavelength λ is \frac{ 5890.2 + 5896.4}{2} = 5893.3 \ A°

Smallest difference between them is 5896.4 – 5890.2 =6.2 A°

$ RP = \frac{λ}{dλ} = \frac{5893.3}{6.2} …

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