© examsnet.com
Question : 9
Total: 26
A 12.5 eV electron beam is used to excite a gaseous hydrogen atom at room temperature. Determine the wavelengths and the corresponding series of the lines emitted.
Solution:
(i) Writing E n ∝
(ii) Identifying the level to which the electron is emitted.
(iii) Calculating the wavelengths and identifying the series of atleast one of the three possible lines, that can be emitted.
(i) We haveE n ∝
(ii)∴ The energy levels are
− 13.6 eV , − 3.4 eV , − 1.5 eV
∴ The 12.5 eV electron beam can excite the electron up to n = 3 level only.
(iii) Energy values, of the emitted photons, of the three possible lines are
3 → 1 : ( − 1.5 + 13.6 ) eV = 12.1 eV
2 → 1 : ( − 3.4 + 13.6 ) eV = 10.2 eV
3 → 2 : ( − 1.5 + 3.4 ) eV = 1.9 eV
The corresponding wavelengths are : 102nm , 122 nm and 653 nm
( λ =
)
(ii) Identifying the level to which the electron is emitted.
(iii) Calculating the wavelengths and identifying the series of atleast one of the three possible lines, that can be emitted.
(i) We have
(ii)
(iii) Energy values, of the emitted photons, of the three possible lines are
The corresponding wavelengths are : 102
© examsnet.com
Go to Question: