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The electron in a hydrogen atom makes a transition from a state n 1 to n 2 . If the time period of the electron in the initial state is eight times that in the final state, then the possible values of n 1 and n 2 are

Options

  1. An 1 = 8 ,   n 2 = 2
  2. Bn 1 = 4 ,   n 2 = 2
  3. Cn 1 = 3 ,   n 2 = 1
  4. Dn 1 = 4 ,   n 2 = 1

Correct answer

B. n 1 = 4 ,   n 2 = 2

Step-by-step solution

In a hydrogen atom, the time period obeys the following relation T ∝ n 3 ⇒ T 1 T 2 = n 1 n 2 3 ⇒ 8 1 = n 1 n 2 3 ⇒ n 1 n 2 = 2 1 Thus, n 1 = 4 and n 2 = 2

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