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Question
CBSEENPH12040109

The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is

  • 2

  • 1

  • 4

  • 0.5

Solution

C.

4

For the last Balmer Series
1 over straight lambda subscript straight b space equals space straight R space open square brackets 1 over 2 squared minus 1 over infinity squared close square brackets

straight lambda subscript straight b space equals space 4 over straight R
For space last space layman space Series
fraction numerator begin display style 1 end style over denominator begin display style straight lambda subscript 1 end style end fraction space equals space straight R space open square brackets fraction numerator begin display style 1 end style over denominator begin display style 1 squared end style end fraction minus fraction numerator begin display style 1 end style over denominator begin display style infinity squared end style end fraction close square brackets
straight lambda subscript 1 space equals space 1 over straight R
straight lambda subscript straight b over straight lambda subscript straight l space equals space fraction numerator begin display style 4 over straight R end style over denominator begin display style 1 over straight R end style end fraction
straight lambda subscript straight b over straight lambda subscript straight l space equals space 4