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If α = h 4 π 2 m e 2 , then the correct expression to calculate of the circumference of the first orbit of hydrogen atom is

Options

  1. A4 π hα
  2. B2 π hα
  3. C4 h 2 πα
  4. DBoth A and C

Correct answer

D. Both A and C

Step-by-step solution

circumference = 2 π r 2 × π × n 2 h 2 4 π 2 m Z e 2 n = 1 Z = 1 and h 4 π 2 me 2 = α Thus, 2 × π × r = 4 π hα or 4 h 2 πα

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