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  • A particle delivered constant power, its displacement is proportional to :-Option: 1 <img alt="\mathrm{t^{\frac{1}{2}}}" src="https://entrancecorner.

A particle delivered constant power, its displacement is proportional to :-

Option: 1

\mathrm{t^{\frac{1}{2}}}


Option: 2

\mathrm{t^{\frac{3}{2}}}


Option: 3

\mathrm{t^{\frac{-3}{2}}}


Option: 4

\mathrm{t^{\frac{-1}{2}}}


Answers (1)

best_answer

Use the concept of dimension.

Now, Dimension of power,

\mathrm{\begin{aligned} & P \rightarrow \frac{\text { word done }}{\text { time }} \\ & P \rightarrow \frac{F \cdot d}{t}=\frac{\left[M L T^{-2}\right][L]}{[T]} \\ & P \rightarrow\left[M L^2 T^{-3}\right] \\ & T^3 \propto L^2 \\ & L \propto T^{3 / 2} \text { Ans. } \end{aligned}}

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Nehul

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