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BITSAT Chemistry Structure of Atom 2021 BITSAT 2021

BITSAT Chemistry Question (2021) — Solution

Question

The frequency of radiation emitted when the electron falls from n =4 to n =1 in a hydrogen atom will be (Given : ionization energy of H =2.18 10^ -18 ~J atom ^ -1 and h =6.625 10^ -34 Js )

Options

  1. A. 1.54 10^ 15 ~s ^ -1
  2. B. 1.03 10^ 15 ~s ^ -1
  3. C. 3.08 10^ 15 ~s ^ -1
  4. D. 2.00 10^ 15 ~s ^ -1

Answer

C. 3.08 10^ 15 ~s ^ -1

Step-by-step solution

aligned v &= 1 ~h IE [ 1 n _ 1 ^ 2 - 1 n _ 2 ^ 2 ] \\ &= 2.18 10^ -18 6.625 10^ -34 [ 1 1 - 1 16 ]=3.08 10^ 15 ~s ^ -1 aligned

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