MHT CET 2024 Physics question

PhysicsGravitationMHT CET 2024

A satellite is revolving around a planet in a circular orbit close to its surface. Let be the mean density and 'R' be the radius of the planet. The period of revolution of the satellite is (G = universal constant of gravitation)

Answer: (C)

Solution

For an orbit close to the surface the orbital radius is , and gravity supplies the centripetal force: , so . The mass in terms of density is . Substituting, \sqrtExtra open brace or missing close brace{\dfracExtra open brace or missing close brace{R^3$·

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Question ID VK-094826