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