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  • On transition of an electron of Hydrogen atom from its third permitted energy level to the first level, photons of certain energy was produced. similarly, another transition took place to second pe

On transition of an electron of Hydrogen atom from its third permitted energy level to the first level, photons of certain energy was produced. similarly, another transition took place to second permitted energy level from highest permitted energy level. Calculate the ratio of energies of photons produced in the two emissions.

Option: 1

3: 4


Option: 2

1: 2


Option: 3

32: 9


Option: 4

9: 5


Answers (1)

best_answer

The change \mathrm{m} energy for transition from third permitted level to first level

\mathrm{=E_3-E_1 }
\mathrm{=\left(\frac{-13.6}{3^2}\right)-\left(-\frac{13.6}{1^2}\right) }
\mathrm{=-13.6\left(\frac{1}{9}-\frac{1}{1}\right) }
\mathrm{=-13.6\left(\frac{-8}{9}\right)=12.08 \, \mathrm{eV}}

Highest level to 2nd permitted level
\mathrm{=E_{\infty}-E_2}
\mathrm{=0-\left(-\frac{13.6}{2^2}\right)}
\mathrm{=\frac{13.6}{4}=3.4\, \mathrm{eV}}
\mathrm{\text { Ratio }= \frac{13.6 \times 8 \times 4}{13.9 \times 9}=32: 9}
 

 

Posted by

sudhir kumar

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