A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the following diagrams shown in figure correctly represents the $$displacement-time$$ curve for its motion? [NCERT Exemplar]

Question

Infinity Learn · Accepted Answer

Given. power $$=$$ constant  As, power,   $$P=dWdt=F$$·$$dsdt=Fdscos0$$°$$dt=Fdsdt($$∵ Body is moving $$unidirectionally)$$ $$P=Fdsdt=$$ constant             $$($$',' P $$=$$ $$constant)Now$$, writing dimensions, (F$$] [ν] $$=$$ constant⇒  $$MLT-2LT-1=$$ constant ⇒  $$L2$$ $$T-3=$$ constant   $$($$∵ mass is constant $$)⇒  L∝$$T3/2$$⇒ Disphcement (d)∝$$t3/2$$

A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the following diagrams shown in figure correctly represents the displacement-time curve for its motion? [NCERT Exemplar]

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