A neutral sphere of radius r and density ρ is placed in a uniform electric field E that exists on the earth's surface in the vertically upward direction. If the atomic number and the mass number of the material of the sphere are Z and A respectively, then the fraction of electrons that should be removed from the sphere for it to remain in equilibrium is [Assume that the sphere is able to hold the necessary charge without any leakage. Here Na -- Avogadro number]
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Let us assume that we remove n electrons from the sphere due to which the net charge on the sphere is 
ne
For the sphere to be in equilibrium
The number of moles of the metal in the sphere is
So the number of metal atoms will be
This means the total number of electrons in the sphere is
Hence, the fraction is
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