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Q.

The slope of kinetic energy displacement curve of a particle in motion is

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a

Equal to the acceleration of the particle

b

Inversely proportional to the acceleration

c

Directly proportional to the acceleration

d

None of the above

answer is C.

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Detailed Solution

E=12mv2.Differentiating w.r.t. x, we getdEdx=12m×2vdvdx=mv×dvdt×dtdx=mv×av=ma
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The slope of kinetic energy displacement curve of a particle in motion is