Heat treatment of muscular pain involves radiation of wavelength of about 900 nm . Which spectral line of H atom is suitable for this? Given : Rydberg constant R _ H =10^5 ~cm ⁻¹, ~h =6.6 10⁻³⁴ ~J ~s , c =3 10^8 ~m / s )

Step-by-step solution

aligned & =900 ~nm H-atom ( Z =1) & =9 10⁻⁵ ~cm & R _ H =10^5 ~cm ⁻¹ & Ryderg eq. = 1 = R _ H Z ^2 ( 1 n ₁^2 - 1 n ₂^2 ) & 1 R _ H = 1 n ₁^2 - 1 n ₂^2 & 1 9 10⁻⁵ ~cm 10^5 ~cm ⁻¹ = ( 1 n ₁^2 - 1 n ₂^2 ) & 1 n ₁^2 - 1 n ₂^2 = 1 9 aligned It is possible when n ₁=3, n ₂= Possible series : 3