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Physics · GRAVITATION
हिन्दीIf the mean density of the Earth is \( \rho \), the time period of a satellite revolving in an orbit very close to the Earth's surface depends on \( \rho \) as:
Correct answer · Option 4
\( T_0 \propto \rho^{-1/2} \)
Explanation
\( T_0 = 2\pi\sqrt{\frac{R_E}{g}} = 2\pi\sqrt{\frac{R_E}{G (\frac{4}{3}\pi R_E \rho)}} = \sqrt{\frac{3\pi}{G\rho}} \propto \rho^{-1/2} \).
