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 `10.2eV-A^(@)`
D. has constant value `7.2eV-A^(@)`

Answer

D

Explanation

`E_(n)prop1/n^(2)and r_(n)propn^(2), thereforeE_(n)r_(n)"is independent of"`
`n`
Hence, `E_(1)r_(1)=(13.6eV)(0.53^(0)A`ltbrgeconstant