A solid sphere of uniform density and radius 4 m is located with its centre at the origin O of coordinate system. Two spheres of equal radii 1 m each. With their centres at A ( − 2 m , 0 , 0 ) and B (

Question

A solid sphere of uniform density and radius 4 m is located with its centre at the origin O of coordinate system. Two spheres of equal radii 1 m each. With their centres at $A (- 2 m, 0, 0)$ and $B (2 m, 0, 0)$ are taken out of the solid sphere leaving behind spherical cavities as shown in the figure and remaining body has mass of $\frac{186}{23} kg$ . Gravitational potential at the centre of the sphere is given by $V_{0} = - GX$ Joule/kg. Fill ' X ' in your answer sheet.

TestHub · Accepted Answer

62 m = 23 186 ​ kg ⇒ m = 23 3 ​ kg \ Now V 0 ​ = − 2 3 ​ 4 G 64 m ​ + 2 2 Gm ​ = − [ 24 Gm − Gm ] = − 23 Gm = − 3 G

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JEE Advanced 2027 (Class 12)