A) \[\frac{1}{9}F\]
B) \[\frac{1}{8}F\]
C) \[\frac{9}{8}F\]
D) \[\frac{8}{9}F\]
Correct Answer: B
Solution :
When spheres are touched and separated, charge is \[q'=\frac{4q-2q}{2}=\frac{2q}{2}=q\] From Coulomb's law \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{(4q)(-2q)}{r}\] ??? (i) When made to touch \[F'=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}^{2}}}{r}\] ?? (ii) From Eqs. (i) and (ii), we get \[F'=\frac{F}{8}\]
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