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A neutral sphere of radius r and density...

A neutral sphere of radius r and density `rho` is placed in a uniform electric field E that exists on the earth's surface in the vertically upward direction. If 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 `N_(A)` - Avogadro number]

A

`n/(n_("total")) = (rho g A)/(eEN_A Z)`

B

`n/(n_("total")) = (4 g A)/(pieEN_A Z)`

C

`n/(n_("total")) = ( g A)/(eEN_A Z)`

D

`n/(n_("total")) = (pi rho g A)/(3eEN_A Z)`

Text Solution

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The correct Answer is:
C
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