A light is incident normally on a grating, which has 2500  lines per centimeter. Compute the enslavement of a spectral line for which the deviation in second order is 15°. (Ans: 518 nm)



Data Given:

N = 2500 L cm⁻¹ = 250000 L m⁻¹

Angle = θ = 15° 

Order of spectrum = m = 2

To Find:


Wavelength = λ = ?

Solution:


Using the following formula 

d sin θ = m λ

or 

λ = dsinθmdsinθm

where d = 1N1N So,

λ = sinθNmsinθNm

by putting values of m, θ, and N

λ = sin15°250000Lm⁻¹ｘ2sin15°250000Lm⁻¹ｘ2

λ = 0.259500000Lm⁻¹0.259500000Lm⁻¹

λ = 5.176 ｘ 10⁻⁷ m

or

λ = 517.6 ｘ 10⁻⁹ m

or

λ = 518  nm --------------------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.