A) \[[{{M}^{-2}}{{L}^{-2}}{{T}^{6}}{{A}^{3}}]\]
B) \[[{{M}^{-1}}{{L}^{-2}}{{T}^{4}}{{A}^{2}}]\]
C) \[[{{M}^{-3}}{{L}^{-2}}{{T}^{8}}{{A}^{4}}]\]
D) \[[{{M}^{-2}}{{L}^{0}}{{T}^{-4}}{{A}^{-2}}]\]
Correct Answer: C
Solution :
\[X=5Y{{Z}^{2}}\] \[Y=\frac{X}{5{{Z}^{2}}}\] \[[Y]=\frac{[X]}{[{{Z}^{2}}]}\] \[=\frac{{{A}^{2}}.{{M}^{-1}}{{L}^{-2}}.{{T}^{4}}}{{{(M{{A}^{-1}}{{T}^{-2}})}^{2}}}\] \[={{M}^{-3}}.\,{{L}^{-2}}.\,{{T}^{8}}.\,{{A}^{4}}\]You need to login to perform this action.
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