A stationary particle explodes into two particles of a masses m₁ and m₂ which move in opposite d

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5.Work, Energy, Power and Collision

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A stationary particle explodes into two particles of a masses $m_1$ and $m_2$ which move in opposite directions with velocities ${v_1}$ and ${v_2}.$ The ratio of their kinetic energies ${E_1}/{E_2}$ is

A

${m_1}/{m_2}$

B

$1$

C

${m_1}{v_2}/{m_2}{v_1}$

D

${m_2}/{m_1}$

(AIPMT-2003)

Solution

(d)$E = \frac{{{P^2}}}{{2m}}$ ==> $E \propto \frac{1}{m}$ ==> $\frac{{{E_1}}}{{{E_2}}} = \frac{{{m_2}}}{{{m_1}}}$

Standard 11

Physics

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