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

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

written 6.4 years ago by

neeta.vanage • 860

modified 2.3 years ago by

pedsangini276 • 4.8k

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 $\lambda$ s are 5890.2 & 5896.4 $\mathring{A}$. Would you expect these lines to be distinguished by the grating in the $1^{st}$ order?

engineering physics

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written 6.3 years ago by

neeta.vanage • 860

Width = 0.5 cm, N = 5000 lines /cm

Therefore total number of lines on grating is $\frac{5000}{0.5} = 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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