Question

By a sample of a group state atomic hydrogen, UV light of energy $\frac{13.6\times 48}{49}\frac{e\nu }{qunta}$ is absorbed. How many different wavelengths will be observed in Balmer region of the hydrogen spectrum?

Answer 1

$\frac{48\times 13.6}{49}={}^{13.6}\left(\frac{1}{n_1^1}\frac{-1}{n_2^2}\right)$

$\frac{48}{49}=\frac{1}{n_1^2}-\frac{1}{n_2^2}$

$n_1=1n_2=7$

total number A Balmer region of hydrogen spectrum

$(7-2,6-2,5-2,9-2,3-2)=5$