In the following electronic transitions, longest wavelength observed in hydrogen spectrum is - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
Series limit of pfund series
B
First line of Balmer series
C
$H_{α}$ line of lyman series
D
Second line of Brackett series

Solution:

Rydberg equation;

$\bar{ν} = \frac{1}{λ} = R_{H} Z^{2} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}];$

Z= 1 in all cases ;

$(1) . . . . n_{1} = 5, n_{2} = \infty; λ = \frac{25}{R_{H}}; (2) . . . . n_{1} = 2, n_{2} = 3; λ = \frac{36}{5 R_{H}}; (3) . . . . n_{1} = 1, n_{2} = 2; λ = \frac{4}{3 R_{H}}; (4) . . . . n_{1} = 4, n_{2} = 6; λ = \frac{144}{5 R_{H}};$

Solution:

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