1.

The Sun is a hot plasma (ion-ized matter) with its inner coreat a temperature exceeding 107K, and its outer surface at atemperature of about 6000 K.At these high temperatures, nosubstance remains in a solidor liquid phase. In what rangedo you expect the mass densityof the Sun to be, in the rangeof densities of solids and liquidsor gases? Check if your guess iscorrect from the following data:mass of the Sun = 2.0 x 10³⁰ kg,radius of the Sun = 7.0 x 10⁸ m.​

Answer»

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Density of the SUN = \bold{1391.8\:kgm^{-3}} (in the range of densities of SOLIDS and liquids)

\fbox{\texttt{\pink{Given:}}}

Mass (M) of the sun = \bold{2.0\times{}10^{30}\:kg.}

Radius (R) of the sun = \bold{7.0\times{}10^{8}\:m.}

\fbox{\texttt{\blue{To\:find:}}}

Mass density of the Sun.

\fbox{\texttt{\red{How\:to\:Find:}}}

We know mass of the sun,

M = \bold{2.0\times{}10^{30}\:kg.}

Radius of the sun, R = \bold{7.0\times{}10^{8}\:m.}

∴ Volume of the sun,

\bold{V=\frac{4}{3}\pi\:R^{3}}

\bold{=\frac{4}{3}\pi(7.0\times{}10^{8})^{3}}

\bold{=1.437\times{}10^{27}\:m^{3}}

Now, density of the sun,

\bold{\rho\:=\dfrac{M}{V}=\dfrac{2.0\times{}10^{30}}{1.437\times{}10^{27}}}

\bold{=1391.8\:kgm^{-3}}

The density of the sun is in the range of the densities of the solids and liquids and not gases.

The high density of the sun (in the form of hot PLASMA) is due to INWARD gravitational attraction on the outer LAYERS due to the inner layers of the sun.



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