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Question: The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra is-...

The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra is-

A

259\frac{25}{9}

B

176\frac{17}{6}

C

95\frac{9}{5}

D

43\frac{4}{3}

Answer

259\frac{25}{9}

Explanation

Solution

n1 = 4

1λmin2(14212)\frac{1}{{\lambda_{\min}}^{2}\left( \frac{1}{4^{2}} - \frac{1}{\infty^{2}} \right)}, 1λmax2(142152)\frac{1}{{\lambda_{\max}}^{2}\left( \frac{1}{4^{2}} - \frac{1}{5^{2}} \right)}s