' ₁ ' is the wavelength of series limit of Lyman series, ' ₂ ' is the wavelength of the first line of Lyman series and ' ₃ ' is the series limit of the Balmer series. Then the relation between ' ₁ ' ₂ and ₃ is

Step-by-step solution

Series limit of Lyman series is given by 1 ₁ = R ( 1 1 - 1 )= R Series limit of Balmer series given by 1 ₃ = R ( 1 4 - 1 )= R 4 First line of Lyman series is given by aligned & 1 ₂ = R ( 1 1 - 1 4 )= R - R 4 = 1 ₁ - 1 ₃ & 1 ₁ - 1 ₂ = 1 ₃ aligned