Two bodies of masses m and 4 ,m are moving with equal K.E. ratio of their linear momentums is

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5.Work, Energy, Power and Collision

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Two bodies of masses $m$ and $4 \,m$ are moving with equal $K.E.$ The ratio of their linear momentums is

A

$4:1$

B

$1:1$

C

$1:2$

D

$1:4$

(AIIMS-1999) (AIPMT-1997)

Solution

(c)$p = \sqrt {2mE} $
$P \propto \sqrt m $

==> $\frac{{{P_1}}}{{{P_2}}} = \sqrt {\frac{{{m_1}}}{{{m_2}}}} = \sqrt {\frac{m}{{4m}}} = \frac{1}{2}$

Standard 11

Physics

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