A) \[[\rho {{a}^{4}}f]\]
B) \[[\rho {{a}^{4}}{{f}^{-6}}]\]
C) \[[{{\rho }^{-1}}{{a}^{-4}}{{f}^{6}}]\]
D) \[[{{\rho }^{-1}}{{a}^{-4}}{{f}^{6}}]\]
Correct Answer: B
Solution :
[b] \[F=ma=\rho \] volume ?a? To write volume in terms of ?a? and ?f? Volumes \[={{L}^{3}}{{\left( \frac{L}{{{T}^{2}}} \right)}^{3}}{{T}^{6}}={{a}^{3}}{{f}^{-6}}\] \[\therefore \,\,\,\,F=\rho {{a}^{4}}{{f}^{-6}}\]
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