question_answer

A molecule of \[{{O}_{2}}\] and that of \[S{{O}_{2}}\] travel with the same velocity. What is the ratio of their wavelengths?

Answer:

                \[{{\lambda }_{{{O}_{2}}}}/{{\lambda }_{S{{O}_{2}}}}\,=2\] (because \[\lambda =\frac{h}{m\upsilon },\]  i.e., \[\lambda \propto \,\frac{1}{m}\] and mass of \[S{{O}_{2}}\] molecule viz. 64 u, is double than that of\[{{O}_{2}}\] molecule viz. 32 u)