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A metallic sphere of radius R is cut in ...

A metallic sphere of radius R is cut in two parts along a plane whose minimum distance from the sphere's centre is `h=R/2` and the sphere is uniformly charges by a total charged by a total electric charge Q. The minimum force necessary (to be applied on each of the two parts) to hold the two parts of the sphere together is `(3kQ^(2))/(p R^(2))`. Then find the value of p ?

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`(Q^(2))/( 32 pi epsilon_(0)R^(4))(R^(2) - h^(2))`
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