question_answer

Energy levels A, B, C of a certain atom corresponds to increasing value of energy, i.e.,\[{{E}_{A}}<{{E}_{B}}<{{E}_{C}}\]. If \[{{\lambda }_{1}},\,\,{{\lambda }_{2}}\,\,and\,\,{{\lambda }_{3}}\] are the wavelengths of radiations corresponding to the transitions C to B, B to A and C to A respectively. Which of the following statement is correct-

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

B) \[{{\lambda }_{3}}\,=\,\,\frac{{{\lambda }_{1}}\,{{\lambda }_{2}}}{{{\lambda }_{1}}+\,{{\lambda }_{2}}}\]

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

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