A) angle
B) length
C) mass
D) time
Correct Answer: A
Solution :
\[[E]\,\,=\,\,[M{{L}^{2}}{{T}^{-2}}],\,\,[m]\,=\,[M],\,\,[l]\,\,=\,[M{{L}^{2}}{{T}^{-1}}]\,\] and \[~\left[ G \right]=\left[ {{M}^{-1}}\,{{L}^{3}}\,{{T}^{-}}^{2} \right]\] Substituting the dimension of above quantities in the given formula: \[\frac{E{{l}^{2}}}{{{m}^{5}}{{G}^{2}}}\,\,=\,\,\frac{[M{{L}^{2}}{{T}^{-2}}]\,{{[M{{L}^{2}}\,{{T}^{-1}}]}^{2}}}{[{{M}^{5}}]\,{{[{{M}^{-1}}\,{{L}^{3}}{{T}^{-2}}]}^{2}}}\] \[=\,\,\,\frac{{{M}^{3}}{{L}^{6}}{{T}^{-4}}}{{{M}^{3}}{{L}^{6}}{{T}^{-4}}}\,=\,\,[{{M}^{0}}{{L}^{0}}{{T}^{0}}]\]You need to login to perform this action.
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