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TS EAMCET · Physics · Atomic Physics

Considering the Bohr's model of hydrogen atom, the ratio of velocities of electrons orbiting in the \(4^{\text {th }}\) orbit to that in the \(9^{\text {th }}\) orbit is

  1. A 9 : 4
  2. B 3 : 2
  3. C 2 : 3
  4. D 4 : 9
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Correct Answer

(A) 9 : 4

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Detailed explanation

\(\mathrm{V} \propto \frac{1}{\mathrm{n}} \quad\left[\because \mathrm{V}=\frac{2.18 \times 10^6}{\mathrm{n}}\right]\) \(\Rightarrow \quad \frac{\mathrm{V}_4}{\mathrm{~V}_9}=\frac{9}{4}\)
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