A heavy and a light body have equal momentum. Which of the following has greater kinetic energy?

Can't determine

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Both have same kinetic energy

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Light body

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Heavy body

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Solution

The correct option is C Light body
Given that the momentum is same for both the bodies.
Also, kinetic energy = $\frac{p^{2}}{2 m}$
$∴$ when momentum is same $K . E \propto \frac{1}{m}$
K.E. will be more for the lighter body as it has lesser mass.

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A light and heavy body have equal momentum. Which one has greater kinetic energy?