Ncert Exercises & Solutions

The Sun is a hot plasma (ionized matter) with its inner core at a temperature exceeding $10^{7} K$ , 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: the mass of the Sun = 2.0 × $10^{30}$ kg, the radius of the Sun = 7.0 × 10⁸ m.

Mass of the Sun, M = 2.0 × $10^{30}$ kg

The radius of the Sun, R = 7.0 × $10^{8}$ m

The volume of the Sun, V = $\frac{4}{3} {πR}^{3}$

$= \frac{4}{3} \times 3.14 \times {(7.0 \times 10^{8})}^{3}$
$= 1437.3 \times 10^{24} m^{3}$

The density of the Sun = $\frac{Mass}{Volume} = \frac{2.0 \times 10^{30}}{1437.3 \times 10^{24}} = 1.4 \times 10^{3} kg / m^{3}$

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

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