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If the speed of an electron of hydrogen atom in the ground state is 2.2 × 10 6 m s , then its speed in the third excited state will be

Options

  1. A5.5 × 10 6 m s
  2. B5.5 × 10 5 m s
  3. C8.8 × 10 5 m s
  4. D6.8 × 10 6 m s

Correct answer

B. 5.5 × 10 5 m s

Step-by-step solution

Speed of electron of hydrogen atom in ground state, v 1 = 22 × 10 6 m s Since, v ∝ 1 n ∴ v 1 v 2 = n 2 n 1 = 2.2 × 10 6 v 2 [for third excited state, n 2 = 4 ] ⇒ v 2 = 2.2 × 10 6 4 = 0.55 × 10 6 m s = 5.5 × 10 5 m s

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