First slide

Classical atomic models

Question

When an electron makes transition from (n+1) state to ‘n’ state ,the wavelength of emitted radiations is related to ‘n’ according to $λ \infty n^{x}$ . The value of ‘X' if n >>>>>1 is ---------------------

Moderate

Solution

$λ = \frac{912}{Z^{2} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}]} λ \infty \frac{1}{\frac{{(n + 1)}^{2} - n^{2}}{n^{2} {(n + 1)}^{2}}} \infty \frac{n^{2} {(n + 1)}^{2}}{(2 n + 1)} λ \infty \frac{n^{2} \times n^{2}}{n} \infty n^{3}$
n >>>>1 (n+1) $≅$ 'n' and 2n+1 $≅$ 'n'

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