A diffraction grating has 5000 lines per centimeter. At what angle does the second-order spectrum of the sodium yellow light of wavelength 589 nm occur? (0.36) 



Given:

Length of the grating = 1 cm = 1 ｘ 10⁻² m

Numbers of line = 500 = 5 ｘ 10² lines

So, grating element = d = 1ｘ10⁻²5ｘ10² m/lines = 2 ｘ 10⁻⁵ m/lines


Wavelength of light = λ = 589 nm = 589 ｘ 10⁻⁹ m

Order of spectrum = m = 2

To Find:


Angle = θ = ?

Solution:


Using Braggs Equation

d sin θ = m λ

or 

θ = sin-1(mλd)

by putting values of m, λ, and d

θ = sin-1(2ｘ589ｘ10⁻⁹2ｘ10⁻⁵)

θ = sin-1(182.635ｘ10⁻⁹⁺⁵)

θ = sin-1(589ｘ10⁻⁴)

θ = 0.36.086°

θ = 0.36° -------------------Ans


************************************

Shortcut Links For 


1. Website for School and College Level Physics   
2. Website for School and College Level Mathematics  
3. Website for Single National Curriculum Pakistan - All Subjects Notes 

© 2022-Onwards by Academic Skills and Knowledge (ASK)     

Note:  Write me in the comment box below for any query and also Share this information with your class-fellows and friends.