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Atoms

Question

According to Bohr's model of hydrogen atom, relation between principal quantum number n and radius of stable orbit is

r ∝ $\frac{1}{n}$

r ∝ n

r ∝ $\frac{1}{n^{2}}$

r ∝ n²

Solution

r ∝ n²

According to Bohr's model, relation between the principal quantum number (n) and radius of
stable orbit (r) are related as

r_n = $(\frac{n^{2}}{m}) {(\frac{h}{2 π})}^{2} \frac{4 {πε}_{o}}{e^{2}}$

⇒ r ∝ n²