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:

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: