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A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in Figure correctly shows the displacement-time curve for its motion?

Answers (1)

$P = F.\frac{ds}{dt} = F. v$ = constant

Carrying out dimensional analysis we get,

[F][v] = constant

$[MLT^{-2}] [LT^{-1}]$ = constant

$L^{2}T^{-3}$ = constant

$L\propto T^{\frac{3}{2}}$

The answer is the option (b).

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