Atoms · Class 12 · CBSE · Science Physics

The radius of the inner-most orbit (Bohr radius) of a hydrogen atom is r1. What is the radius of the third orbit (n=3)?

Practice question from Atoms (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-2649C3

The radius of the inner-most orbit (Bohr radius) of a hydrogen atom is r1r_1. What is the radius of the third orbit (n=3n=3)?

  1. A.3r13 r_1
  2. B.6r16 r_1
  3. C.9r19 r_1Correct answer
  4. D.27r127 r_1

Solution

The radius of the nn-th orbit is given by rn=r1n2r_n = r_1 n^2. For n=3n = 3, r3=r1(32)=9r1r_3 = r_1 (3^2) = 9 r_1.

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