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Q.

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

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a

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b

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c

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d

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answer is B.

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Detailed Solution

If power is constant,

$\Rightarrow \vec{F} . \vec{v} = constant$

By dimensional analysis,

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

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

$∴ P \to Constant, L \propto t^{3 / 2}$

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