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A planet is a homogeneous ball of radius...

A planet is a homogeneous ball of radius R having mass M. It is surrounded by a dense atmosphere having density `rho=(sigma_(@))/(r)` where `simga_(@)` is a constant and r is distance from the centre of the planet. It is found that acceleration due to gravity is constant throughout the atmosphere of the planet. Find `simga_(@)`in terms of M and R.

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