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In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n-1) . If n>>1 , the frequency of radiation emitted is proportional to

Options

  1. A1 n^3
  2. B1 n
  3. C1 n^2
  4. D1 n^ 3 / 2

Correct answer

A. 1 n^3

Step-by-step solution

In a hydrogen like atom, when an electron makes an transition from an energy level with n to n-1 , the frequency of emitted radiation is v=R c Z^2 [ 1 (n-1)^2 - 1 n^2 ]= R c Z^2(2 n-1) n^2(n-1)^2 As n>>1 v = R c Z^2 2 n n^4 = 2 R c Z^2 n^3 or v 1 n^3

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