According to Bohr's theory of hydrogen atom , the product of the binding energy of the electron in the nth orbit and its radius in the nth orbit

Options

A. is proportional to `n^2`
B. is inversely proportional to `n^3`
C. has a constant value of `10.2e V-A^0`
D. has constant value `7.2 e V -A^0`

Answer

D

Explanation

`E_(n) prop n^(2) , therefore E_(n) r_(n)` is independent of n
Hence , `E_(1) r_(1) =(13.6e V)( 0.53_(A)^(0))=7.2eV - overset(0)A` = constant