If we assume only gravitational attraction between protect and electron in hydrogen atom and the Bohr's quantization rule kto be allowed , then the expression for the ground state energy of the atom will be (the mass of proton is `M` and that of electron is `m`)

Options

A. `(G^(2)M^(2)m^(2))/(h^(2))`
B. `(2pi^(2)G^(2)M^(2)m^(3))/(h^(2))`
C. `(2pi^(2)GM^(2)m^(3))/(h^(2))`
D. `(h^(2))/(G^(2)M^(2)n^(2))`

Answer

B

Explanation

`mvr=(nh)/(2pi),(mv^(2))/r=(GMm)/r^(2)`
Energy `E=1/2mv^(2)-(GMn)/r`