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In What Range Do You Expect the Mass Density of the Sun to Be, in the Range of Densities of Solids and Liquids Or Gases - Physics

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The Sun is a hot plasma (ionized matter) with its inner core at a temperature exceeding 107 K, and its outer surface at a temperature of about 6000 K. At these high temperatures, no substance remains in a solid or liquid phase. In what range do you expect the mass density of the Sun to be, in the range of densities of solids and liquids or gases? Check if your guess is correct from the following data: mass of the Sun = 2.0 × 1030 kg, radius of the Sun = 7.0 × 108 m.

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Solution 1

Mass of the Sun, M = 2.0 × 1030 kg

Radius of the Sun, R = 7.0 × 108 m

Volume of the Sun, `V = 4/3piR^3`


`=88/21xx343 xx10^(24) = 1437.3 xx 10^(24) m^3`

Density of the Sun = `"Mass"/"volume" = (2.0 xx 10^(30))/(1437.3 xx 10^(24)) "∼" 1.4 xx 10^3 "kg/m"^5`

The density of the Sun is in the density range of solids and liquids. This high density is attributed to the intense gravitational attraction of the inner layers on the outer layer of the Sun.

Solution 2

Given M = 2 x 1030 kg, r = 7 x 10m

∴ Volume of Sun = 4/3πr3 x 3.14 x (7 x 108)3  = 1.437 x 1027 m3

As p = M/V,               

p = 2 x 1030/1.437 x 1027= 1391.8 kg m-3 = 1.4 x 103 kg m-3

Mass density of Sun is in the range of mass densities of solids/liquids and not gases.

Concept: Measurement of Length
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NCERT Class 11 Physics
Chapter 2 Units and Measurements
Q 23 | Page 37
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