If 917 be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be _________ . [2023]

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Solution

Q.
If 917 $Å$ be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be _________ $Å$ . [2023]

Ans.
(3668)

$For lowest wavelength of Lyman series, \frac{1}{λ} = R Z^{2} [\frac{1}{1^{2}} - \frac{1}{\infty^{2}}] = R Z^{2}$

$For lowest wavelength of Balmer series, \frac{1}{λ'} = R Z^{2} [\frac{1}{2^{2}} - \frac{1}{\infty^{2}}] = \frac{R Z^{2}}{4}$

$λ' = \frac{4}{R Z^{2}} = 4 \times 917 = 3668 Å$

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