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Metal Cube Induction

A negative point charge -q is brough near an isolated metal cube.

(A) The cube becomes positively charged
(B) The cube becomes negatively charged
(C) The interior of the cube remains charge free and the surface gets nonuniform charge distribution
(D) Protons inside the metal cube move towards -q making the interior of the cube negatively charged and the surface close to -q positively charged

Answer

The charge does not stay inside the metal cube. The charge has to reside on the surface. Moreover, the free electrons move farther away from -q so there is nonuniform surface charge distribution.

Hence, (C)