Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.MiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A light and heavy body have equal momentum, which one has greater kinetic energy?

Options:

Answer:

Solution:

Let $m_{1}$ and $m_{2}$ be the mass of light and heavy bodies respectively, i.e. $m_{2} > m_{1}$

$\frac{m_{2}}{m_{1}} > 1$ ...(i)

$K_{1}$ and $K_{2}$ be the kinetic energy of light and heavy bodies respectively, then

$K_{1} = \frac{p^{2}}{2 m_{1}}$ and $K_{2} = \frac{p^{2}}{2 m_{2}}$ , [where $p =$ momentum]

$∴ \frac{K_{1}}{K_{2}} = \frac{p^{2} / 2 m_{1}}{p^{2} / 2 m_{2}} = \frac{m_{2}}{m_{1}}$

$\frac{K_{1}}{K_{2}} = \frac{m_{2}}{m_{1}}$

But $\frac{m_{2}}{m_{1}} > 1$ , From Equation. (i),

$∴ \frac{K_{1}}{K_{2}} > 1$

$K_{1} > K_{2}$

i.e. Light body has greater kinetic energy.

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:W.E.P.Subtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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