CBSE Class 12 Physics 2017 Outside Delhi Set 1 Paper

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Question : 9
Total: 26
A 12.5eV 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 En
1
n2

(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 En
1
n2

(ii) The energy levels are
13.6eV,3.4eV,1.5eV
The 12.5eV 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
31:(1.5+13.6)eV=12.1eV
21:(3.4+13.6)eV=10.2eV
32:(1.5+3.4)eV=1.9eV
The corresponding wavelengths are : 102 nm,122nm and 653nm
(λ=
hc
E
)
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