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  • A 12·5 eV electron beam is used to excite a gaseous hydrogen atom at room temperature. Determine the wavelengths and the corresponding series of the lines emitted.     <div st

A 12·5 eV electron beam is used to excite a gaseous hydrogen atom at room temperature. Determine the wavelengths and the corresponding series of the lines emitted.

 

 
 
 
 
 

Answers (1)

The energy of hydrogen atom in the ground state =-13.6\; eV

when the electron beam of 12.5 eV is bombarded with gases hydrogen atom energy becomes,

E=(-13.6+12.5)eV

      = -1.1 \; eV

E=\frac{-13.6}{n^{2}}eV

-1.1=\frac{-13.6}{n^{2}}

n\approx 3

During de-excitation the electron can jump from n=3 to n=1 which forms a line in Lyman series.

for n=3

\frac{1}{\lambda }=R\left [ \frac{1}{1^{2}}-\frac{1}{3^{2}} \right ]

\frac{1}{\lambda }=1.097\times 10^{7}\left [ \frac{8}{9} \right ]

\lambda = 1.025\times 10^{-7}m

Posted by

Safeer PP

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