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NEET 2015 Physics question

PhysicsGravitationNEET 2015

Kepler's third law states that square of period of revolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet i.e. here is constant. If the masses of sun and planet are and respectively then as per Newton's law of gravitation force of attraction between them is , here is gravitational constant. The relation between and is described as :

Answer: (1)

Solution

For a (nearly) circular orbit the gravitational force provides the centripetal force: , so . Period , hence

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Question ID VK-091818