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JEE Main20207 Jan 2020Morning ShiftPhysicsAtomic PhysicsActual

The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6 × 10 - 16 s . The frequency of revolution of the electron in its first excited state (in s - 1 ) is:

Options

  1. A1.6 × 10 14
  2. B7.8 × 10 14
  3. C6.2 × 10 15
  4. D5.6 × 10 12

Correct answer

B. 7.8 × 10 14

Step-by-step solution

T ∝ r v ∝ n 2 z × n z ∝ n 3 z 2 T 1 T 2 = n 1 3 n 2 3 = 1 8 T 2 = 8 T 1 now, f 2 = 1 T 2 f 2 = 1 12.8 × 10 - 16 ≈ 7.8 × 10 14

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