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  • The series limit wavelength of the Palmer series in hydrogen spectrum is . The Rydberg constant of hydrogen

The series limit wavelength of the Palmer series in hydrogen spectrum is 3646 \AA. The Rydberg constant of hydrogen atom -
 

Option: 1

 1.097
 


Option: 2

1.097 \times 10^7 \mathrm{~m}^{-1}


Option: 3

2.06 \times 10^6 \mathrm{~m}^{-1}


Option: 4

None.


Answers (1)

best_answer

The wave lengths of the lines of Bolter series are given by.

\mathrm{\frac{1}{\lambda}=R_H\left(\frac{1}{2^2}-\frac{1}{n^2}\right) \quad, n=3,4,5, \ldots}

For the series limit wavelength, n=\infty thus
Now,

\mathrm{\frac{1}{\lambda_{\infty}}=R_H\left(\frac{1}{2^2}\right) }

\mathrm{R_H=\frac{4}{\lambda_{\infty}}=\frac{4}{3646 \times 10^{-10} \mathrm{~m}}=1.097 \times 10^7 \mathrm{~m}-1 }

Posted by

Riya

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