Q.

The electric potential between a proton and an electron is given by  V=Volnrro,where ro is a constant. Assuming Bohr's model to be applicable, write variation of rn, with  n , n being the principal quantum number.

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a

rn∝n

b

rn∝1/n

c

rn∝n2

d

rn∝1/n2

answer is A.

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Detailed Solution

potential energy U=eV=eVolnrro∴Force  F=−dUdr=eVor.∴The force will provide the necessary centripetal  mv2r =ev0r  v=ev0m ………………(1) and  mvr =nh2π ………………(2) Solving  r ∞n
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The electric potential between a proton and an electron is given by  V=Volnrro,where ro is a constant. Assuming Bohr's model to be applicable, write variation of rn, with  n , n being the principal quantum number.