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The $\lambda$ of $H_{\alpha}$ line of Balmer series is $6500A^{\large\circ}$.What is the $\lambda$ of $H_{\beta}$ line of Balmer series?

$\begin{array}{1 1}(a)\;4814.8A^{\large\circ}&(b)\;3426.7A^{\large\circ}\\(c)\;5234A^{\large\circ}&(d)\;3672.6A^{\large\circ}\end{array}$

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For $H_{\alpha}$ line of Balmer series $n_1=2,n_2=3$
For $H_{\beta}$ line of Balmer series $n_1=2,n_2=4$
By equations (1) & (2)
$\lambda_{\beta}=\lambda_{\alpha}\times \big[\large\frac{80}{108}\big]$
$\Rightarrow 6500\times \large\frac{80}{108}$
$\Rightarrow 4814.8A^{\large\circ}$
Hence (a) is the correct answer.
answered Jan 17, 2014 by sreemathi.v

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