Question
Why is the atomic spectrum is not continuous but linear?

Answer

When continuous radiation is passed through a substance, it absorbs some wavelengths of radiation. The missing wavelengths corresponding to the radiation absorbed by this substance appear as dark lines in the bright continuous spectrum, because only light of particular wavelengths is emitted with dark spaces in between. Hence such spectrum is called linear spectrum. It is displayed by atoms only in gaseous state, hence it is also called atomic spectrum.

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