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NTA Abhyas JEE Main2020ChemistryStructure of AtomPractice

In an atom, two electrons revolve around the nucleus in circular orbits of radii r and 4r. The ratio of the time taken by them (T 2   :   T 1 ) to complete one revolution is

Options

  1. A1:4
  2. B4:1
  3. C1:8
  4. D8:1

Correct answer

C. 1:8

Step-by-step solution

r n = n 2 × η r 2 = 4 η T n = n 3 Z 2 × 1.5 × 1 0 - 16 s e c T 1 = 1 3 1 2 × 1.5 × 1 0 - 16 s e c T 2 = 2 3 1 2 × 1.5 × 1 0 - 16 s e c On dividing T 2 by T 1 we get T 2 T 1 = 8 1 or T 1 T 2 = 1 8

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