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If you think about it, it makes sense. Stars with more mass will be hotter in the center, because the center will be under more pressure. A hotter center means that nuclear reactions will proceed more quickly, and thus produce more radiation. This radiation eventually works its way to the surface of the star, so the surface of a more-massive star will be hotter. Hotter surfaces radiate more energy, and thus appear brighter.

Of course, there are other variables, such as chemical composition, involved, so the mass-luminosity relation is only approximate. And other physical considerations make some stars variable, sometimes over a large range in luminosity.

There are also special cases, such as white dwarfs, for which there is an entirely different relationship between mass and luminosity than that which holds for "normal" stars.

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Q: Why is there a mass luminosity relation?
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What is the significance of the mass-luminosity relationship?

The mass/luminosity relation is important because it can be used to find the distance to binary systems which are too far for normal parallax measurements.


Which type of star best obey mass-luminosity relation?

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It's luminosity,motion and mass.


What does the life span of a star depend on?

How massive it is and its luminosity (the mass and luminosity correlate with each other with most stars, mainly the main sequence stars). The more mass a star has, the shorter its lifespan.


What is the approximate luminosity of a main-sequence star whose mass is one-tenth that of the Sun?

There's no single answer, since luminosity depends not only of mass but stage and temperature. However, most 0.1 Solar mass stars are going to be red dwarfs, so consider Wolf 359, a nearby star, as an example. It's about 0.09 Solar mass and its luminosity varies from about 0.0009 to 0.0011.


How can you find the luminosity of a main sequence star?

it depends on the mass of the star.


How did Edwin Hubble measure the distance to the Andromeda Galaxy?

He applied the period-luminosity relation to Cepheid variables.


What characteristics of a star are related to each other?

Mass and gravity are directly connected, and luminosity is closely related to mass.


What do stars have that depends on their size?

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How would an increase in mass affect the basic properties of a star?

As mass increases It increases the surface temperature , luminosity, and radius.


How can the mass-luminosity relationship be used as a tool?

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What is the mass to light ratio of a 10 M Sun white dwarf with luminosity of 5x10 3 L Sun?

That is an oddly phrased question. If you're looking for the mass to luminosity relationship, it's generally L = M^3.5. But your question asks for the mass to light ratio. I'm not sure what the "light" part is referring to. But as you are given the luminosity, and the mass, perhaps you mean the ratio between those two quantities? Then you just do some division to create a ratio...