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The radius of third stationary orbit of electron for Bohr's atom is R . The radius of fourth stationary orbit will be:

Options

  1. A4 3 R
  2. B16 9 R
  3. C3 4 R
  4. D9 16 R

Correct answer

B. 16 9 R

Step-by-step solution

From Bohr's atomic model, it follows that r n = n 2 Z r 1 . . . 1 Following equation (1), it can be written that r 4 r 3 = 4 2 3 2 ⇒ r 4 = 16 9 R

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