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Physics · UNITS AND MEASUREMENT
हिन्दीThe mean density of the Sun, calculated using its mass \( M = 2.0 \times 10^{30}\text{ kg} \) and radius \( R = 7.0 \times 10^8\text{ m} \), is closest to which order of density range?
Correct answer · Option 1
\( 1.4 \times 10^3\text{ kg m}^{-3} \) (range of solids/liquids)
Explanation
\( V = \frac{4}{3}\pi R^3 = \frac{4}{3} (3.14) (7.0 \times 10^8)^3 \approx 1.437 \times 10^{27}\text{ m}^3 \). \( \rho = \frac{M}{V} = \frac{2.0 \times 10^{30}}{1.437 \times 10^{27}} \approx 1.39 \times 10^3\text{ kg m}^{-3} \), which lies in the range of densities of solids and liquids.
