Question 257: Atoms & Nuclei

Question

Some energy levels of a molecule are shown in the figure. The
ratio of the wavelengths r = ${{\lambda _1}}$/${{\lambda _2}}$, is given by:
![](https://app-content.cdn.examgoal.net/fly/@width/image/1l7ymtna0/a2a24957-6dae-463c-9450-712f96a9e641/08fa7980-3287-11ed-8893-19b23ee4c66d/file-1l7ymtna1.png?format=png)

Accepted Answer

From energy level diagram, using $\Delta E = {{hc} \over \lambda }$
For wavelength ${{\lambda _1}}$, $\Delta E =$ Ã¢ÂÂE Ã¢ÂÂ (Ã¢ÂÂ2E) = ${{hc} \over {{\lambda _1}}}$
For wavelength ${{\lambda _2}}$, $\Delta E =$ Ã¢ÂÂE Ã¢ÂÂ (Ã¢ÂÂ${{4E} \over 3}$) = ${{hc} \over {{\lambda _2}}}$
$ 	herefore $ r = ${{{\lambda _1}} \over {{\lambda _2}}} = {{\left( {{{4E} \over 3} - E} ight)} \over {\left( {2E - E} ight)}}$ = ${1 \over 3}$

Answer

r = 1/3

Answer

r = 4/3

Answer

r = 2/3

Answer

r = 3/4

Atoms & Nuclei

Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths r = {{\lambda _1}}/{{\lambda _2}}, is given by:

Choose the correct answer: