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A student conducts an experiment in electrostatics using three identical metal neutral spheres on insulating stands. The student applies a negative charge to Sphere $A$, then allows Sphere $A$ contact Sphere $B$. The student measures ${ F }_{ A-B }$, the force between Spheres $A$ and $B$ when they are $1.00\text{ meter}$ apart.

Next the student allows Sphere $A$ to contact Sphere $C$. The student then measures ${ F }_{ A-C }$, the force between Spheres $A$ and $C$ when they are $1.00\text{ meter}$ apart.

Which of the following values is the ratio of ${ F }_{ A-B }$ to ${ F }_{ A-C }$?

A

2

B

4

C

8

D

16

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