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  • For hydrogen atom, <img alt="\mathrm{\lambda _{1}\: and\: \lambda _{2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Clambda%20_%7B1%7D%5C%3A%20and%5C%3A%20%5Clambda%20_

For hydrogen atom, \mathrm{\lambda _{1}\: and\: \lambda _{2}}  are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of \mathrm{\lambda _{1}\: and\: \lambda _{2}}  is \mathrm{\frac{x}{32}}. The value of \mathrm{x} is

Option: 1

27


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{ \frac{1}{\lambda_1}=R\left(\frac{1}{1^2}-\frac{1}{3^2}\right) }
\mathrm{ \lambda_1=\frac{9}{8 R} }
\mathrm{ \frac{1}{\lambda_2}=R\left(\frac{1}{1^2}-\frac{1}{2^2}\right) }
\mathrm{ \lambda_2=\frac{4}{3 R} }
\mathrm{ \frac{\lambda_1}{\lambda_2}=\frac{27}{32} }
 

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