BITSAT2021ChemistryStructure of AtomActual
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
- A1.54 10¹⁵ ~s ⁻¹
- B1.03 10¹⁵ ~s ⁻¹
- C3.08 10¹⁵ ~s ⁻¹
- D2.00 10¹⁵ ~s ⁻¹
Correct answer
C. 3.08 10¹⁵ ~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 10¹⁵ ~s ⁻¹ aligned