Hydrogen (H), deuterium , singly ionized helium \[(H{{e}^{+}})\]and doubly ionized lithium \[(Li)\] all have one electron around the nucleus. Consider n =2 to n = 1 transition. The wavelengths of emitted radiations are \[{{\lambda }_{1}},\ {{\lambda }_{2}},\ {{\lambda }_{3}}\]and \[{{\lambda }_{4}}\] respectively. Then approximately [KCET 1994]

• A.             \[{{\lambda }_{1}}={{\lambda }_{2}}=4{{\lambda }_{3}}=9{{\lambda }_{4}}\]
• B.            \[4{{\lambda }_{1}}=2{{\lambda }_{2}}=2{{\lambda }_{3}}={{\lambda }_{4}}\]
• C.            \[{{\lambda }_{1}}=2{{\lambda }_{2}}=2\sqrt{2}{{\lambda }_{3}}=3\sqrt{2}{{\lambda }_{4}}\]
• D.            \[{{\lambda }_{1}}={{\lambda }_{2}}=2{{\lambda }_{3}}=3\sqrt{2}{{\lambda }_{4}}\]