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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