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Partially Inelastic Collision

Two bodies of...

Question

Two bodies of mass $m$ and $4 m$ are moving with the same momentum. Then their K.E. are in the ratio of

1 : 1

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2 : 1

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4 : 1

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1 : 4

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Solution

The correct option is C 4 : 1
$K = \frac{p^{2}}{2 m}$
$\frac{K_{1}}{K_{2}} = \frac{\frac{/ p^{2}}{2 / m}}{\frac{/ p^{2}}{8 / m}} = \frac{8}{2} = 4 : 1$

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