According to Bohr's theory, which of the following correctly represents the variation of energy and radius of an electron in nth orbit of H-atom-

Options

A. `E_(n)prop(1)/(n^(2)),rprop(1)/(n^(2))`
B. `E_(n)prop(1)/(n^(2)),rpropn^(2)`
C. `E_(n)propn^(2),rpropn^(2)`
D. `E_(n) propn,rprop(1)/(n)`

Answer

B

Explanation

According to Bohr's theory
`r=(n^(2)h^(2))/(4pi^(2)mZe^(2)) and E_(n)=(2pi^(2)mZ^(2)e^(4))/(n^(2)h^(2))`.