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Byju's Answer

Standard XII

Physics

1st Equation of Motion

Two bodies of...

Question

Two bodies of masses $m_{1}$ and $m_{2}$ are moving with same kinetic energy. If $P_{1}$ and $p_{2}$ are their respective momentum, the ratio $\frac{P_{1}}{P_{2}}$ is equal to:

\frac{m_{1}}{m_{2}}

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\sqrt{\frac{m_{2}}{m_{1}}}

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\sqrt{\frac{m_{1}}{m_{2}}}

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\frac{m_{1}^{2}}{m_{2}^{2}}

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Solution

The correct option is C $\sqrt{\frac{m_{1}}{m_{2}}}$
$K_{1} = K_{2} \Rightarrow \frac{p_{1}^{2}}{2 m_{1}} = \frac{p_{2}^{2}}{2 m_{2}}$
$\frac{p_{1}^{2}}{p_{2}^{2}} = \frac{m_{1}}{m_{2}}$
$\frac{p_{1}}{p_{2}} = \sqrt{\frac{m_{1}}{m_{2}}}$

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