A) \[[R{{T}^{-2}}]\]
B) \[[{{R}^{2}}{{T}^{-1}}]\]
C) \[[{{R}^{2}}]\]
D) \[[{{R}^{2}}{{T}^{2}}]\]
Correct Answer: C
Solution :
[c] Dimensions of\[\mu =[ML{{T}^{-2}}{{A}^{-2}}]\] |
Dimensions of \[\in =[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]\] |
Dimensions of \[R=[M{{L}^{2}}{{T}^{-3}}{{A}^{-2}}]\] |
\[\therefore \]\[\frac{\text{Dimensionsof}\,\mu }{\text{Dimensionsof}\,\in }=\frac{[ML{{T}^{-2}}{{A}^{-2}}]}{[{{M}^{-1}}{{L}^{-3}}{{T}^{4}}{{A}^{2}}]}\] |
\[=[{{M}^{2}}{{L}^{4}}{{T}^{-6}}{{A}^{-4}}]=[{{R}^{2}}]\] |
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