A) \[{{s}^{2}}\propto {{t}^{3}}\]
B) \[{{s}^{2}}\propto {{t}^{-3}}\]
C) \[{{s}^{3}}\propto {{t}^{2}}\]
D) \[s\propto {{t}^{3}}\]
Correct Answer: A
Solution :
Power \[=[M{{L}^{2}}{{T}^{-3}}]=constant\] \[\therefore \] \[\left[ \frac{M{{L}^{2}}}{{{T}^{3}}} \right]=\text{constant}\] \[\therefore \] \[[{{L}^{2}}]\propto [{{T}^{3}}]\]or \[{{s}^{2}}\propto {{t}^{3}}\]
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