Question

A line in the paschen series of hydrogen has a wavelength of 1010 nm. from what state did the electron originate?

Answer 1

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Answer 2

Answer: The electron originated from level 7.

Explanation: Using Rydberg's Equation:

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

Where,

$\lambda = Wavelength of radiation = 1010nm =1.010\times 10^{-6}m$

$R_H = Rydberg's Constant = 1.09737\times 10^7m^{-1}$

$n_f$ = Higher energy level = 3 (Paschen series)

$n_i$ = Lower energy level = ?

Putting the values, in above equation, we get

$\frac{1}{1.101\times 10^{-6}m}=1.09737\times 10^7m^{-1}\left(\frac{1}{n_i^2}-\frac{1}{3^2} \right)$

$n_i=7$

The electron originated from the level having n = 7.