Question

If the atom100Fm257follows the Bohr model and the radius of100Fm257is n times the Bohr radius, then find n ?

Answer 1

In Bohr's model, radius of the orbit with quantum number n=n is given by

rn=n^2 h^2eo/( pi Z e^2m)…………..(1)

The Bohr- orbit has radius =h^2eo/( pi e^2m)…….(2)

Now, as mentioned by Manika, in Fm atom the last orbit has n =7.

If rn in (1) is N times (2), then, with n=7, we get

49 h^2eo/(pi 100 e^2m)=N h^2eo/(pi e^2m). Therefore,

49/100=N or

N=0.49

hope this will be help you