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Which of the following expressions represents the spectrum of Balmer series (If n is the principal quantum number of higher energy level) in Hydrogen atom?

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$\bar{v} = \frac{R (n - 1) (n + 1)}{n^{2}}$

$\bar{v} = \frac{R (n - 2) (n + 2)}{4 n^{2}}$

$\bar{v} = \frac{R (n - 2) (n + 2)}{n^{2}}$

$\bar{v} = \frac{R (n - 1) (n + 1)}{4 n^{2}}$

answer is B.

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Detailed Solution

$\bar{v} = R (\frac{1}{2^{2}} - \frac{1}{n^{2}}); \bar{v} = \frac{R (n - 2) (n + 2)}{4 n^{2}}$

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