A) \[[M{{L}^{2}}{{T}^{-1}}]\]
B) \[[M{{L}^{-2}}{{T}^{-3}}]\]
C) \[[M{{L}^{2}}{{T}^{-2}}]\]
D) \[[M{{L}^{-2}}{{T}^{-2}}]\]
E) \[[M{{L}^{-1}}{{T}^{-1}}]\]
Correct Answer: C
Solution :
\[[C]=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]\] \[[V]=[M{{L}^{2}}{{T}^{-3}}{{A}^{-1}}]\] \[\therefore \] \[[C{{V}^{2}}]=[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]{{[M{{L}^{2}}{{T}^{-3}}{{A}^{-1}}]}^{2}}\] \[=[M{{L}^{2}}{{T}^{-2}}]\]
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