Width of Spectral Lines: Explaining Main Sequence Star Determination

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The width of spectral lines indicates the temperature of a star, primarily influenced by Doppler Broadening due to the motion of molecules. As molecules in a warm body move at various speeds, their spectral lines blur, resulting in wider lines. This width can help determine if a star is on the main sequence by comparing its temperature and luminosity. Main sequence stars exhibit a consistent relationship where hotter stars are more luminous. If a star shows a discrepancy, such as high temperature with low luminosity, it is identified as not being on the main sequence.
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It's given in my book that from the width of spectral lines you can determine whether or not it is a main sequence star... Not sure if astro-como or quantum.. Anyway, i need a detailed easy explanation of what is the width of spectral lines.. Secondly, if we know that how will we determine whether a star is at the main sequence or not... Urgently, i need the answers.. Thanks in advance
 
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The width of spectral lines is pretty much what the name implies. It refers to how wide a spectral line occurs.

There are number of factors that determine this, but the one of interest here is Doppler Broadening. If an molecule is moving towards you, its spectral lines are shifted toward the blue due to Doppler shift. If it moving away, they are shifted to the Red.

If you are looking at a warm body, its molecules are in motion, moving at different angles t you. All the shifted spectral lines from these molecules blur together to make the spectral line look thicker. The hotter the body, the greater the molecular speeds, and the greater the width of the line.

Thus the width of the spectral lines can give you information about the temp of the Star.

Main sequence stars follow a relationship between luminosity and temp. Hotter stars are more luminous.

Thus if you compare temp and luminosity, and find a low luminosity star with a high temp, or a high luminosity star with a low temp, you know that the star is outside of the main sequence.
 
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