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Question: The electric potential b/w a proton and an electron is given by V = V<sub>0</sub>log\(\frac{r}{r_{0}...

The electric potential b/w a proton and an electron is given by V = V0logrr0\frac{r}{r_{0}}, where r0 is constant. Assuming Bohr's model to be applicable, write variation of rn with n, n being the principal quantum number –

A

rnµ n

B

rnµ1n\frac{1}{n}

C

rnµ n2

D

None

Answer

rnµ n

Explanation

Solution

F = – dUdr\frac{dU}{dr}….(1)

mvr = nh2π\frac{nh}{2\pi}….(2)

rn µ n