A) \[[M{{L}^{-2}}{{T}^{-2}}{{Q}^{-2}}]\]
B) \[[{{M}^{-1}}{{L}^{-2}}{{T}^{-3}}{{Q}^{-1}}]\]
C) \[[{{M}^{-1}}{{L}^{-3}}{{T}^{2}}{{Q}^{2}}]\]
D) \[[{{M}^{-1}}{{L}^{-3}}{{T}^{-2}}{{Q}^{-2}}]\]
Correct Answer: C
Solution :
Permittivity \[\varepsilon =\frac{{{\left( \text{charge} \right)}^{2}}}{Force\times {{\text{(distance)}}^{\text{2}}}}\] \[=\frac{[{{Q}^{2}}]}{[ML{{T}^{-2}}\times [{{L}^{2}}]}\] \[=[{{M}^{-1}}{{L}^{-3}}{{T}^{2}}{{Q}^{2}}]\]
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