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  • Estimate the ratio of the wavelengths associated with the electron orbiting around the nucleus in the ground and first excited states of hydrogen atom.  

Estimate the ratio of the wavelengths associated with the electron orbiting around the nucleus in the ground and first excited states of hydrogen atom.

 

Answers (1)

\\2\pi r_n=n\lambda_n\\r_n=a_0n^2\\2\pi a_0n^2=n\lambda_n\\\lambda_n=2\pi a_0n

So the ratio of the wavelengths associated with the electron orbiting around the nucleus in the ground and first excited states of the hydrogen atom is

\frac{\lambda_1}{\lambda_2}=\frac{1}{2}

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Safeer PP

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