According to Bohr's principle, the relation between principal quantum number (n) and radius of orbit (r) is
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Let us consider the Bohr model in which i rotates around the nuclei (truly charges) in a fixed stationary state and in circular orbit.
Therefore, clearly the electrostatic force is at the centripetal force.
Mv2/r = kze2/r after equating, it comes out as v = kze2/mvr.
According to Bohr’s theories, the angular momentum L= nh/2 π, then v= kze2*2π / nh (Take this as B)
Therefore, in the equation, mv2/r = kze2/ r that gives r = kze2/mv2. Substituting the value of v from B, we get r α n2
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