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Let R₁ be the radius of the second stationary orbit and R₂ be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio R₁ R₂ is:

Options

  1. A0.25
  2. B0.5
  3. C2
  4. D4

Correct answer

A. 0.25

Step-by-step solution

As, aligned R _n & =0.529 n^2 Z Hence, R ₁ R ₂ & = 0.529 n₁^2 Z ₁ 0.529 n₂^2 Z ₂ R ₁ R ₂ & = n₁^2 n₂^2 = (2)^2 (4)^2 R ₁ R ₂ & = 1 4 =0.25 aligned (where, the symbols have their usual meanings)

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