JEE Advanced 2020 Full Test 7 Paper 2

The electric potential between a proton and an electron is given by, V=V0‌ln(‌

r

r0

) where V0 and r0 are constants and r is the radius of the electron orbit around the proton. Assuming Bohr's model to be applicable, it is found that r is proportional to nx, where n is the principal quantum number. Find the value of x.