5.Work, Energy, Power and Collision
medium

Two masses of $1 \,gm$ and $4 \,gm$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

A

$4:1$

B

$\sqrt 2 :1$

C

$1:2$

D

$1:16$

(IIT-1980) (AIIMS-1987) (AIPMT-1989)

Solution

(c)$P = \sqrt {2mE} .$ If $E$ are same then $P \propto \sqrt m $
$⇒$ $\frac{{{P_1}}}{{{P_2}}} = \sqrt {\frac{{{m_1}}}{{{m_2}}}} = \sqrt {\frac{1}{4}} = \frac{1}{2}$

Standard 11
Physics

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