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

v ̅ = \frac{R (n - 1) (n + 1)}{n^{2}} c m^{- 1}

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

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v ̅ = \frac{R (n - 2) (n + 2)}{n^{2}} c m^{- 1}

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v ̅ = \frac{R (n - 1) (n + 1)}{n^{2}} c m^{- 1}

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Solution

The correct option is B $v ̅ = \frac{R (n - 2) (n + 2)}{4 n^{2}} c m^{- 1}$
$- v = R (\frac{1}{n_{f}^{2}} - \frac{1}{n_{i}^{2}}) c m^{- 1}$
for Balmer series $n_{i} = 2$ and iven that $n_{i} = n$
$- v = R (\frac{1}{2^{2}} - \frac{1}{n^{2}}) c m^{- 1}$
$v ̅ = \frac{R (n - 2) (n + 2)}{4 n^{2}} c m^{- 1}$

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

The correct option is B v̅=R(n−2)(n+2)4n2 cm−1−v=R(1n2f−1n2i)cm−1 for Balmer series ni=2 and iven thatni=n −v=R(122−1n2)cm−1 v̅=R(n−2)(n+2)4n2 cm−1