Two bodies of masses {m₁} and {m₂} have equal kinetic energies. If {p₁} and {p₂} are their r

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5.Work, Energy, Power and Collision

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Two bodies of masses ${m_1}$ and ${m_2}$ have equal kinetic energies. If ${p_1}$ and ${p_2}$ are their respective momentum, then ratio ${p_1}:{p_2}$ is equal to

A

${m_1}:{m_2}$

B

${m_2}:{m_1}$

C

$\sqrt {{m_1}} :\sqrt {{m_2}} $

D

$m_1^2:m_2^2$

Solution

(c)$P = \sqrt {2mE} $
$P \propto \sqrt {m} $ $ ({\rm{if }}E = {\rm{const}}{\rm{.)}})$
$\frac{{{P_1}}}{{{P_2}}} = \sqrt {\frac{{{m_1}}}{{{m_2}}}} $

Standard 11

Physics

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