Q. The electric potential between a proton and an electron is given by where r₀ is a constant. Assuming Bohr’s model to be applicable, write variation of with , being the principal quantum number.

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A

B

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D

Solution:

U = eV = eV₀ ln

This force provides necessary centripetal force.
Hence,
Or ... (i)
Moreover, ... (ii)
Dividing Eq. (ii) by (i), we have
or

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