if we assume only gravitational attraction between proton and electron in hydrogen atom and the Bohr quantizaton rule to be followed, 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. increases 4 times
B. decreases 4 times
C. increases 8 times
D. decreases 8 times

Answer

B

Explanation

`(mv^2)/(r ) = (GMm)/(r^2)…..(i)`
`mvr =(h)/(2pi) (for n =1) ….(ii)`
Solving these two equations, we can find v and r.
Then,
`E = (1)/(2) mv^2 - (GMM)/(r )`