1.

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.  \[{{\lambda }_{1}}=2{{\lambda }_{2}}=3{{\lambda }_{3}}=4{{\lambda }_{4}}\]
Answer» D.  \[{{\lambda }_{1}}=2{{\lambda }_{2}}=3{{\lambda }_{3}}=4{{\lambda }_{4}}\]


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