Modern Physics 4 Question 33
34. If the wavelength of the line of Lyman series is equal to the de-Broglie wavelength of electron in initial orbit of a hydrogen like element . Find the value of .
(2005)
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Solution:
th line of Lymen series means transition from state to first state.
de-Broglie wavelength in
Equating Eqs. (i) and (ii), we get
Now, as
Substituting in Eq. (iii), we get
Solving this equation,
We get,