The wavelength of the third line of the Balmer series for a hydrogen atom is

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The wavelength of the third line of the Balmer series for a hydrogen atom is

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$\frac{21 R \infty}{100}$

$\frac{100 R \infty}{21}$

$\frac{100}{21 R \infty}$

$\frac{21}{100 R \infty}$

answer is B.

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Detailed Solution

$\frac{1}{λ} = R_{α} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}})$ for hydrogen atom.

For the Balmer series $n_{1} = 2 a n d n_{2} = 5$ for third line

$∴ \frac{1}{λ} = R_{α} (\frac{1}{2^{2}} - \frac{1}{5^{2}}) = \frac{21}{100} R_{α} t h u s λ = \frac{100}{21 R_{α}}$

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