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  4. Imagine an electron moving in the potential field of a proton given by V = V 0 ln ( r / r 0) where r0 is a positive constant and r is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation of rn with n (principal quantum number) is

Q. Imagine an electron moving in the potential field of a proton given by where is a positive constant and is the distance between the electron and proton. Assuming Bohr's model to be applicable, the variation of with (principal quantum number) is

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Solution:



This force provide the necessary centripetal force.
Hence

More over,
Dividing Eq. (2) by Eq. (1), we have

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