The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is [2017]

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Solution

Q.
The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is [2017]

1 1

2 4

3 0.5

4 2

Ans.
(2)

The wavelength of last line of Balmer series

$\frac{1}{λ_{B}} = R (\frac{1}{2^{2}} - \frac{1}{\infty^{2}}) = \frac{R}{4}$

The wavelength of last line of Lyman series

$\frac{1}{λ_{L}} = R (\frac{1}{1^{2}} - \frac{1}{\infty^{2}}) = R$ $∴$ $\frac{λ_{B}}{λ_{L}} = \frac{4}{1} = 4$

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