Test Academy | A boy can jump to a height h on ground level. What should be the radius of a sphere of density d such that on jumping on it, he escapes out of the gravitational field of the sphere (4πGd/3gh)⁰.⁵, (4πgh/3Gd)⁰.⁵, (3gh/4πGd)⁰.⁵, (3Gd/4πgh)⁰.⁵

Question

A boy can jump to a height h on ground level. What should be the radius of a sphere of density d such that on jumping on it, he escapes out of the gravitational field of the sphere

Options :

(4πGd/3gh)⁰.⁵
(4πgh/3Gd)⁰.⁵
(3gh/4πGd)⁰.⁵
(3Gd/4πgh)⁰.⁵

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