White light (400 nm <$\lambda$< 700 nm) is normally incident on a grating. Show that the $2^{nd}$& $3^{rd}$ order spectra always overlap irrespective of the grating element.

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White light (400 nm <

$\lambda$ < 700 nm) is normally incident on a grating. Show that the

$2^{nd}$ &

$3^{rd}$ order spectra always overlap irrespective of the grating element.

written 7.2 years ago by

neeta.vanage • 880

modified 3.2 years ago by

pedsangini276 • 4.8k

Subject: Applied Physics 2

Topic: Interference And Diffraction

Difficulty: Medium

engineering physics

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1 Answer

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written 7.1 years ago by

neeta.vanage • 880

(a+b) = $\frac{2.54}{15000}$ , wavelength λ $_1$ = 4000 AU

$(a+b) sinθ = n λ_1 \\[2ex] sinθ= \frac{n λ_1}{(a+b)} \\[2ex] θ= sin^{-1} (\frac{n λ_1}{a+b}) \\[2ex] θ= sin^{-1} (\frac{n \times 4000 \times 10^{-8}}{2.54/15000}) \\[2ex] θ= 0.236 \times n \\[2ex]$

Substitute value of n as 1,2,3

Angles will be 13°, 28° , …

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