Bohr S Model For Hydrogen Atom

Energy of hydrogen atom in ground state,
Energy of hydrogen atom in first excited state,
Minimum energy required =

To determine the equivalent Bohr's radius of the second orbit of , we employ the formula for Bohr's radius of an orbit in a hydrogen-like atom, given by:

, where is the orbit number, is Planck's constant, is the electron mass, is the electron charge, and is the atomic number of the element.

For a hydrogen-like ion, the formula further simplifies when compared to known Bohr's radius for hydrogen ( ):

.

For , the atomic number is 4. So for the second orbit ( ):

.

This shows that the second orbit of has a radius equal to the first orbit of hydrogen.

This precisely matches the option: 1st orbit of hydrogen.