Question

What is the wavelength of spectral line resulted from the electron transition from n=3

to n=1 in a hydrogen atom?

Answer 1

We apply the Rydberg equation;

$\dfrac{1}{\lambda}=Rx(\dfrac{1}{n^2final}-\dfrac{1}{n^2initial})$

$\dfrac{1}{\lambda}=1.0974x10^7m^-1(\dfrac{1}{1^2}-\dfrac{1}{3^2})$

$\dfrac{1}{\lambda}=9754666667$

${\lambda}=\dfrac{1}{9754666667 }$

${\lambda} =$1.025 x 10^-10 m