Heat treatment of muscular pain involves radi | vedclass

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(A) Given wavelength $\lambda = 900 \ nm = 900 	imes 10^{-7} \ cm = 9 	imes 10^{-5} \ cm$. Rydberg constant $R_{H} = 10^5 \ cm^{-1}$. Using Rydberg

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Paschen series,$\infty \rightarrow 3$

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(A) Given wavelength $\lambda = 900 \ nm = 900 	imes 10^{-7} \ cm = 9 	imes 10^{-5} \ cm$. Rydberg constant $R_{H} = 10^5 \ cm^{-1}$. Using Rydberg equation for $H$-atom $(Z=1)$: $\frac{1}{\lambda} = R_{H} 	imes (\frac{1}{n_1^2} - \frac{1}{n_2^2})$. Substituting the values: $\frac{1}{9 	imes 10^{-5}} = 10^5 	imes (\frac{1}{n_1^2} - \frac{1}{n_2^2})$. $\frac{1}{9} = \frac{1}{n_1^2} - \frac{1}{n_2^2}$. For this equality to hold,$n_1 = 3$ and $n_2 = \infty$. This corresponds to the Paschen series transition from $\infty ightarrow 3$.

List-$I$	List-$II$
$(1)$ Lyman	$(A)$ $n = 5 \to n = 4$
$(2)$ Paschen	$(B)$ $n = 3 \to n = 2$
$(3)$ Brackett	$(C)$ $n = 6 \to n = 5$
$(4)$ Balmer	$(D)$ $n = 4 \to n = 3$
	$(E)$ $n = 7 \to n = 6$

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 $R_{H}=10^5 \ cm^{-1}, h=6.6 \times 10^{-34} \ J \ s, c=3 \times 10^8 \ m / s$.

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