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The radius of electron's second stationary orbit in Bohr's atom is R . The radius of 3 r d orbit will be

Options

  1. AR 3
  2. B2 . 25   R
  3. C3 R
  4. D9 R

Correct answer

B. 2 . 25   R

Step-by-step solution

As we know, radius of hydrogen like atom r ∝ n 2 Z . Therefore, r 2 r 3 = n 2 n 3 2 ⇒ R r 3 = 2 3 2 ⇒   r 3 = 9 4 R = 2 . 25 R

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