The short wavelength limit for the Lyman series of the hydrogen spectrum is 913.4oA. Calculate the short wavelength limit for Balmer series of the hydrogen spectrum.

Rydberg formula for wavelength for the hydrogen spectrum is given by
1λ=R[1/n₁² - 1/n₂²]
For short wavelength of Lyman series,
1913.4=R[1/1² - 1/∞²]
or
R=(1/913.4)A⁻¹
For short limit of wavelength for Balmer series,
1λ=R[1/2² - 1/∞²]
or
λ=4/R=4(913.4)=3653.6Ao=365.36nm