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Speed of an electron in Bohr’s 7 th orbit for Hydrogen atom is 3 . 6 × 10 6 m s - 1 . The corresponding speed of the electron in 3 rd orbit, in m s - 1 is :

Options

  1. A1 . 8 × 10 6
  2. B7 . 5 × 10 6
  3. C3 . 6 × 10 6
  4. D8 . 4 × 10 6

Correct answer

D. 8 . 4 × 10 6

Step-by-step solution

For hydrogen like atom, the velocity of electron in n t h orbit is given by v = z 2 e 2 2 ε 0 h n ∴ v ∝ 1 n ⇒ v 1 v 2 = n 2 n 1 ⇒ 3 . 6 × 10 6 v 2 = 3 7 v 2 = 8 . 4 × 10 6   m   s - 1

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