A) \[\left( \frac{1}{3} \right)\times {{10}^{-9}}N\]
B) \[\left( \frac{2}{9} \right)\times {{10}^{-9}}N\]
C) \[\left( \frac{1}{9} \right)\times {{10}^{-9}}N\]
D) \[\left( \frac{4}{3} \right)\times {{10}^{-9}}N\]
E) \[\left( \frac{2}{3} \right)\times {{10}^{-9}}N\]
Correct Answer: A
Solution :
\[\frac{K{{q}_{1}}}{3}=10,\frac{K{{q}_{2}}}{1}=10\] \[K{{q}_{1}}=30\times {{10}^{-2}}\] \[K{{q}_{2}}=10\times {{10}^{-2}}\] \[F=\frac{K{{q}_{1}}{{q}_{2}}}{{{10}^{-2}}}\] \[=\frac{(30\times {{10}^{-2}})(10\times {{10}^{-2}})}{K\times {{10}^{-2}}}\] \[F=\frac{1}{3}\times {{10}^{-9}}N\]
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