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 ∝
mv2 r3 = ke2; m2v2r2 =
r =
U =
U ∝
then total energy ∝
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