Suppose potential energy between electron and proton at separation r is given by U =kloger where k is a constant for such hypothetical hydrogen atom, radius of nth Bohr’s orbit
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a
nh2πmk
b
nhπmk
c
nh3πmk
d
2πmknh
answer is A.
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Detailed Solution
F=-dudr=-ddrkloger =-kr mv2r= kr then v=km then mvr= nh2π⇒r=nh2π1mmk=nh2πmk