MHT CET 2023 Physics question

PhysicsGravitationMHT CET 2023

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between them is proportional to , where x is non zero integer [Given: R is radius of each spherical body]

Answer: (B)

Solution

Each sphere has mass . When the identical spheres touch, the distance between their centres is . Newton's law of gravitation: \dfrac{G m· m}{d^2}\dfrac{G m^2}{(2R)^2}\propto\dfrac{(R^3)^2}{4R^2}$ =

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Question ID VK-098003