Nuclear Physics and RadioactivityHard

Question

Suppose the potential energy between electron and proton at a distance r is given  by - Application of Bohr′s therapy to hydrogen atom in this case shown that

Options

A.energy in the nth orbit is proportional to n6
B.energy  is proportional to m-3(m = mass of electron)
C.energy in the nth orbit is proportional to n-2
D.energy  is proportional to m3 (m = mass of electron)

Solution

U = - ; F =
mv2 r3 = ke2; m2v2r2 =
r = (constant), Also V2
U = , k.e. = mv2
U ∝ , T.E. = U + K.E. ∝
then total energy ∝

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