Trick for Hydrogen spectrum shortcut | Atomic Structure | Rydberg constant shortcut #shorts

The Rydberg constant R for hydrogen is

In an ordianary atom, as a first approximation, the motion of the nucleus can be ignored. In a positronium atom a positronreplaces the proton of hydrogen atom. The electron and positron masses are equal and , therefore , the motion of the positron cannot be ignored. One must consider the motion of both electron and positron about their center of mass. A detailed analyasis shows that formulae of Bohr's model apply to positronium atom provided that we replace m_(e) by what is known reduced mass is m_(e)//2 . If the Rydberg constant for hydrogen atom is R , then the Rydberg constant for positronium atom is

If the wavelength of H_alpha line of Balmer seriesin hydrogen spectrum is 6.5xx10^(-7) m then find the value of Rydberg constant.

Line Spectrum Of Hydrogen Atom

The ionisation energy of hydrogen atom is 13.6 eV. Calculate Rydberg's constant for hydrogen.