The electric potential between a proton and as electron is given by `V= V_(0) ln (r )/(r_(0))` , where`r_(0)` is a constant . Assuming Bohr's model to be applicable , write variation of `r_(n)` with `n,n` being the principal quantum number ?

Options

A. `ralphan`
B. `ralpha1/n^(2)`
C. `r alpha n^(2)`
D. `r alpha 1/n`

Answer

A

Explanation

` E=-(dV)/(dr)=-(v_(0)r_(0))/r` and force on the electron
F=Ee. i.e `(mv^(2))/r (v_(0)r_(0)e)/r and mvr=(nh)/(2pi)`
`therefore (mn^(2)h^(2))/(4pi^(2)m4pi^(2)m^(2)r^(2))=v_(0)r_(0)eRightarrowrpropn`