The first line in the Lyman series has wavelength λ. The wavelength of the first line in Balmer series is

For first line in Lyman series λL1=43 R-------(i)For first line in Balmer series λB1=365 R------(ii)From equation (i) and (ii) λB1λL1=275⇒λB1=275λL1⇒λB1=275λ