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 $R_H=10^5\ \mathrm{cm^{-1}}$, $h=6.6 imes10^{-34}$ J s, $c=3 imes10^8$ m/s )

Question

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 $R_H=10^5\ \mathrm{cm^{-1}}$, $h=6.6	imes10^{-34}$ J s, $c=3	imes10^8$ m/s )

Dr. Abubacker · Accepted Answer

[Solution by Dr. Abubacker] $\bar
u=\frac1\lambda=\frac1{900	imes10^{-7}\,\mathrm{cm}}=1.11	imes10^4\ \mathrm{cm^{-1}}=\frac{R_H}9$. Since $R_H\left(\frac1{3^2}-\frac1{\infty^2}ight)=\frac{R_H}9$, this is the Paschen series limit, $\infty	o3$. Answer (3).

Q. 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 $R_H=10^5\ \mathrm{cm^{-1}}$, $h=6.6\times10^{-34}$ J s, $c=3\times10^8$ m/s )

Explanation

Reviewed by Dr. Abubacker

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