Modern Physics 1 Question 50
46. A hydrogen-like atom (described by the Bohrs model) is observed to emit six wavelengths, originating from all possible transitions between a group of levels. These levels have energies between and (including both these values).
(a) Find the atomic number of the atom.
(b) Calculate the smallest wavelength emitted in these transitions.
(Take
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Solution:
- (a) Total 6 lines are emitted. Therefore,
So, transition is taking place between
Similarly,
or
or
Solving Eqs. (i) and (ii) for
(b) Smallest wavelength corresponds to maximum difference of energies which is obviously