A grating is just able to resolve 2 lines of $\lambda$ s 5140.34 & 5140.85 $\mathring{A}$ in the $1^{st}$ order. Will it resolve the lines 8037.2 & 8037.5 $\mathring{A}$ in the $2^{nd}$ order?

Subject: Applied Physics 2

Topic: Interference And Diffraction

Difficulty: Medium

RP = $\frac{λ}{dλ}$ = nN

For wavelengths 5140.34 & 5140.85 Å……..

Mean wavelength λ is $\frac{5140.34 + 5140.85}{2} = 5140.595 \ A° $

Smallest difference between them is 5140.85 – 5140.34 = 0.51 A°

First order, n=1

$ N= \frac{1}{n} \times \frac{λ}{dλ} = \frac{1}{1} \times \frac{5140.595}{0.51} = 10080 $

The …