The Schrodinger wave equation for hydrogen atom is
`psi _(2r)^(2)=0=[(1)/(4 sqrt(2 pi))]^(2) (2-(r_(0))/(a_(0)))e^(-r_(n)//a_(0))`
where `a_(0)` is Bohr's radius. Let the radial node be at `r_(0)` then find r in terms of `a_(0)`.

Explanation

At radial node, `psi^(2)` must vanish
`psi_(2r)^(2) =0=[(1)/(4sqrt(2pi))]^(2) (2-(r_(0))/(a_(0)))e^(-r_(n)//a_(0))rArr 2-(r_(0))/(a_(0)) =0 rArr r_(0)=2a_(0)`