question_answer

Energy levels I, II, III of a certain atom correspond to increasing values of energy i.e., \[{{E}_{I}}<{{E}_{II}}<{{E}_{III}}\]If \[{{\lambda }_{1,}}{{\lambda }_{2}}\]and \[{{\lambda }_{3}}\] be the wavelengths of radiations corresponding to the transitions III to II, II to I and III to I respectively, which of the following relations is correct ?

A)  \[{{\lambda }_{1,}}{{\lambda }_{2}}+{{\lambda }_{3}}\]       

B)  \[{{\lambda }_{3}}\frac{{{\lambda }_{1}}{{\lambda }_{2}}}{\left( {{\lambda }_{1}}+{{\lambda }_{2}} \right)}\]

C)  \[{{\lambda }_{1}}+{{\lambda }_{2}}+{{\lambda }_{3}}=0\]

D)         \[\lambda _{3}^{2}=\lambda _{1}^{2}+\lambda _{2}^{2}\]