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Two positive ions, each carrying a charge q, are separated by a distance d. If F is the force of repulsion between the ions, then the number of electrons missing from each ion will be (e being the charge on an electron)

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$\frac{4 π ε_{0} F d^{2}}{e}$

$\sqrt{\frac{4 π ε_{0} F e^{2}}{d^{2}}}$

$\sqrt{\frac{4 π ε_{0} F d^{2}}{e^{2}}}$

$\frac{4 π ε_{0} F d^{2}}{e^{2}}$

answer is C.

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Detailed Solution

Two positive ions, each carrying a charge q are kept at a distance d, then it is found that force of repulsion between them is $F = \frac{k q q}{d^{2}} = \frac{1}{4 π ε_{0}} \frac{q q}{d^{2}}$

where; q = ne

$∴$ $F = \frac{1}{4 π ε_{0}} \frac{n^{2} e^{2}}{d^{2}}$

Number of electrons, $n = \sqrt{\frac{4 π ε_{0} F d^{2}}{e^{2}}}$

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