If the series limit of Lyman series for Hydrogen atom is equal to the series limit of Balmer series for a hydrogen-like atom, then atomic number of this hydrogen-like atom will be

By using 1λ=RZ21n12−1n22For hydrogen atom 1λminH=R112−1∞=R⇒λminH=1R                                  ..........(i)For hydrogen−like atom1λminatom=RZ2122−1∞⇒λminatom=4RZ2                          ..........(ii)From equationi and ii 1R=4RZ2⇒Z=2.