Consider a metal sphere of radius $R$ that is cut in two parts along a plane whose minimum distance from the sphere's centre is $h$. Sphere is uniformly charged by a total electric charge $Q$. The minimum force necessary to hold the two parts of the sphere together, is
Consider a metal sphere of radius $R$ that is cut in two parts along a plane whose minimum distance from the sphere's centre is $h$. Sphere is uniformly charged by a total electric charge $Q$. The minimum force necessary to hold the two parts of the sphere together, is
- A
$\frac{{{Q^2}\left( {{R^2} - {h^2}} \right)}}{{4\pi \,{ \in _0}\,{R^4}}}$
- B
$\frac{{{Q^2}}}{{4\pi \,{ \in _0}\,{R^2}}}$
- C
$\frac{{{Q^2}\left( {R - h} \right)}}{{32\pi \,{ \in _0}\,{R^3}}}$
- D
$\frac{{{Q^2}\left( {{R^2} - {h^2}} \right)}}{{32\pi \,{ \in _0}\,{R^4}}}$
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- [IIT 2014]
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