question_answer

Hydrogen \[{{(}_{1}}{{H}^{1}})\], Deuterium \[{{(}_{1}}{{H}^{2}})\], singly ionized Helium \[{{{{(}_{2}}{{H}^{4}})}^{+}}\] and doubly ionized lithium \[{{{{(}_{3}}L{{i}^{6}})}^{++}}\] all have one electron around the nucleus. Consider an electron transition from n=2 to n=1. If the wavelengths of emitted radiation are \[{{\lambda }_{1}},{{\lambda }_{2}},{{\lambda }_{3}}\text{ and }{{\lambda }_{4}}\] respectively then approximately which one of the following is correct?

A)  \[4{{\lambda }_{1}}=2{{\lambda }_{2}}=2{{\lambda }_{3}}={{\lambda }_{4}}\]

B)  \[{{\lambda }_{1}}=2{{\lambda }_{2}}=2{{\lambda }_{3}}={{\lambda }_{4}}\]

C)  \[{{\lambda }_{1}}={{\lambda }_{2}}=4{{\lambda }_{3}}=9{{\lambda }_{4}}\]

D)  \[{{\lambda }_{1}}=2{{\lambda }_{2}}=3{{\lambda }_{3}}=4{{\lambda }_{4}}\]