Heat treatment of muscular pain involves radi | vedclass

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(A) The wavelength is given as $\lambda = 900 \ nm = 900 	imes 10^{-9} \ m = 9 	imes 10^{-7} \ m$.Using the Rydberg formula for the hydrogen atom: $

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Paschen,$\infty 	o 3$

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(A) The wavelength is given as $\lambda = 900 \ nm = 900 	imes 10^{-9} \ m = 9 	imes 10^{-7} \ m$.Using the Rydberg formula for the hydrogen atom: $\frac{1}{\lambda} = R_H \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} ight)$.For the Paschen series,$n_1 = 3$. Substituting the values: $\frac{1}{9 	imes 10^{-7}} = 1.097 	imes 10^7 \left( \frac{1}{3^2} - \frac{1}{n_2^2} ight)$.$0.101 = \frac{1}{9} - \frac{1}{n_2^2} \implies \frac{1}{n_2^2} = 0.111 - 0.101 = 0.01$.$n_2^2 = 100 \implies n_2 = 10$.Since $900 \ nm$ falls in the infrared region,it corresponds to the Paschen series $(n_1 = 3)$. Among the given options,the Paschen series is the correct spectral region.

Heat treatment of muscular pain involves radiation of wavelength of about $900 \ nm$. Which spectral line of $H$ atom is suitable for this purpose?
$[R_H = 1.097 \times 10^7 \ m^{-1}, \ h = 6.626 \times 10^{-34} \ J \cdot s, \ c = 3 \times 10^8 \ m/s]$

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Heat treatment of muscular pain involves radiation of wavelength of about $900 \ nm$. Which spectral line of $H$ atom is suitable for this purpose?$[R_H = 1.097 \times 10^7 \ m^{-1}, \ h = 6.626 \times 10^{-34} \ J \cdot s, \ c = 3 \times 10^8 \ m/s]$