In a sample of ions, a $$Li++$$ ion electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets $$de-excited$$ to the ground state in all possible ways (including$$ intermediate $$emissions), a total of six spectral lines are observed. What is the value of λ ? $$(Given$$, $$h=6.63$$×$$10$$−$$34Js$$,$$c=3$$×$$108ms$$−$$1$$

Question

In a sample of ions, a $$Li++$$ ion electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets $$de-excited$$ to the ground state in all possible ways (including$$ intermediate $$emissions), a total of six spectral lines are observed. What is the value of λ ? $$(Given$$, $$h=6.63$$×$$10$$−$$34Js$$,$$c=3$$×$$108ms$$−$$1$$

Infinity Learn · Accepted Answer

$$6=n(n$$−$$1)2$$⇒$$n=41$$λ$$=Rz2112$$−$$1421$$λ$$=1.097$$×$$10711$$−$$116$$×$$9m$$λ$$=10.8nm$$

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