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Kinetic Energy

Two bodies Of...

Question

Two bodies Of masses $2 m$ and $m$ have their kinetic energies in the ratio $8 : 1$ . What is the ratio of their momenta?

A

8 : 1

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B

4 : 1

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C

2 : 1

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D

1 : 1

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Solution

The correct option is B 4 : 1
$\frac{P_{1}}{P_{2}} = \sqrt{\frac{2 m_{1} K_{1}}{2 m_{2} K_{2}}}$

$= \sqrt{\frac{2 m \times 8}{m \times 1}}$

$= 4$

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