Calculate the wavelength of H-line (n2= 3) in Balmer series

Solution : 

The wavelength of the first line in Balmer series of hydrogen spectrum is given as,
1λ= R1n12-1n22Here n1 = 2, n2 = 3 and R = 109677cm-11λ= 109677122-132=109677 14-19= 109677536therefore,λ = 36109677×5= 6.56×10-5cm
The wavelength of the given line is 6564.73 Å.

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