The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited stale t

Question

The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited stale to the ground state?

TestHub · Accepted Answer

λ h c ​ = ( 13.6 e V ) z 2 [ n 1 2 ​ 1 ​ − n 2 2 ​ 1 ​ ] n 1 ​ = 1 n 2 ​ = 3 λ h c ​ = ( 13.6 e V ) ( 3 2 ) [ 1 2 1 ​ − 3 2 1 ​ ] ⇒ λ h c ​ = ( 13.6 e V ) ( 9 ) ( 9 8 ​ ) Wavelength = 8 × 13.6 1240 ​ nm λ = 11.39 nm

Physics - Modern Physics Question with Solution | TestHub

Options:

Doubts & Discussion