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  •  If  and <img alt="\lambda_p" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Clambda_

 If \lambda_B and \lambda_pis the wavelength of the series limit of Bracket and Pfund series respectively. The ratio of \lambda_B and \lambda_p will be-
 

Option: 1

\frac{16}{25}


Option: 2

\frac{25}{36}


Option: 3

\frac{9}{25}


Option: 4

\frac{9}{16}


Answers (1)

best_answer

\mathrm{\\frac{1}{\lambda}=R\left(\frac{1}{n_f^2}-\frac{1}{n_i^2}\right)}

Case I for Bracket series \mathrm{n_f=4 }

\mathrm{\left.\therefore \frac{1}{\lambda}=k\left(\frac{1}{42^2}-\frac{1}{n_i^2}\right) \text { where } n_i=s, c_i\right) }
Case for Pfund series \mathrm{n_f=5 }
\mathrm{\therefore \frac{1}{\lambda}=R\left(\frac{1}{5^2}-\frac{1}{n_i^2}\right) \text { where } n_i=6,7,8 }
Series limit occurs when \mathrm{ n_i=\infty }
\therefore series limit of Bracket and P fund is-

\begin{aligned} &\mathrm{ \frac{1}{\lambda_B}=R\left(\frac{1}{16}-0\right) \text { \&} \frac{1}{\lambda_P}=R\left(\frac{1}{25}-0\right) }\\ &\mathrm{ \therefore \quad \frac{\lambda_B}{\lambda_P}=\frac{16}{25} }\\ \end{aligned}

Posted by

avinash.dongre

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