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Standard X

Physics

Kinetic Energy

Two bodies of...

Question

Two bodies of different masses $m_{1}$ and $m_{2}$ have equal momenta. Their kinetic energies $E_{1}$ and $E_{2}$ are in the ratio:

\sqrt{m_{1}} : \sqrt{m_{2}}

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m_{1} : m_{2}

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m_{2} : m_{1}

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m_{1}^{2} : m_{2}^{2}

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Solution

The correct option is B $m_{2} : m_{1}$
Given that momenta of two bodies are equal
${\Rightarrow m}_{1} v_{1} = m_{2} v_{2}$
K.E. $=$ $\frac{1}{2} m v^{2}$

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Two bodies of different masses m1 and m2 have equal momenta. Their kinetic energies E1 and E2 are in the ratio:

The correct option is B m2:m1Given that momenta of two bodies are equal⇒m1v1=m2v2K.E.=12mv2

Two bodies of different masses $m_{1}$ and $m_{2}$ have equal momenta. Their kinetic energies $E_{1}$ and $E_{2}$ are in the ratio:

The correct option is B $m_{2} : m_{1}$
Given that momenta of two bodies are equal
${\Rightarrow m}_{1} v_{1} = m_{2} v_{2}$
K.E. $=$ $\frac{1}{2} m v^{2}$