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Wave Optics

Question
CBSEENPH12039340

Calculate the shortest wavelength of the spectral lines emitted in Balmer series. [ Given Rydberg constant, R = 107 m-1]

Solution

The formula is,
1 over straight lambda space equals space R space open parentheses 1 over 2 squared minus 1 over infinity squared close parentheses
For shortest wavelength,
Therefore,
space space space space space 1 over straight lambda equals R over 4
rightwards double arrow space straight lambda space equals space 4 over straight R space equals space 4 space straight x space 10 to the power of negative 7 end exponent space straight m