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Q.

Suppose the potential energy between electron and proton at separation  r  is given by  , where k  is a constant for such a hypothetical hydrogen atom, the energy of nth level is

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a

b

c

d

answer is A.

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Detailed Solution

mv2r=kr    mv2=k⇒(1) mvr=nh2π⇒(2) m2v2r2=n2h24π2⇒3 dividing 3 by 1 mr2=n2h24π2k   r=n2h24π2km12 PE=kloger     U =12logen2h24π2km E=U+12mv2
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