How would such a scientist be able to get the spectroscopy of chemicals? Without access to modern computing or electronics how would it be possible?
Any video link or reference link are much appreciated here.
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Light from a flame, the sun, or a star, was passed though a narrow slit, then directed through a prism (F) and observed. The prism is rotatable about a vertical axis to adjust the wavelength range being observed. Bright lines in the spectrum are emission transitions and dark lines are absorption transitions.
Further progress was made using diffraction gratings instead of prisms and using photography instead of naked eye observation. Photography permitted observation of infrared and ultraviolet lines.
By these techniques, known elements were detected in the sun and other stars, and helium was discovered in the sun before it was discovered on Earth, all before 1900.
For further information see Spectroscopy History.