Answer :



Now equating the new force equation with centripetal force,


Where r is the new radius.

But we know that, ,putting this in equation 1


For , we get Bohr radius of the electron, ------(4)

Now, let the change in the orbital radius be p which is a small change.

, ------(5)

eq. 3 and 2 are the same, we equate them,

Now p2 and prb are 1

neglecting them, --------(6)

Now kinetic energy

K.E. =

Now putting value of p and ,K.E for hydrogen atom ground state


Now P.E. ----------(7)


Differentiating w.r.t r

Substituting above in the integral (7) we get,


Using equation (5) and putting , we get,

Using equation (6) ()

Now putting the values, we get,

(using )

change in ground state energy


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