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Q. Which of the following value of $n_{1}$ in the relationship $\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)$ is correct when $n_{2}>n_{1}$ corresponds to Paschen lines in the hydrogen spectrum?

J & K CETJ & K CET 2001

Solution:

For Paschen series in hydrogen spectrum
$n_{1}=3, n _{2}=4,5,6 \ldots \infty$ .
$ \frac{1}{\lambda}=R\left(\frac{1}{3^{2}}-\frac{1}{n_{2}^{2}}\right)$