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5.Work, Energy, Power and Collision
easy
A body of mass $8\,kg$ and another of mass $2\, kg$ are moving with equal kinetic energy. The ratio of their respective momenta will be.
A
$1:1$
B
$2:1$
C
$1:4$
D
$4:1$
(JEE MAIN-2022)
Solution
$K E=\frac{ P ^{2}}{2 m }$
$K _{1}=\frac{ P _{1}^{2}}{2(8)} ; K _{2}=\frac{ P _{2}{ }^{2}}{2(2)}$
$K _{1}= K _{2}$
So,
$4 P _{2}^{2}= P _{1}^{2}$
$\frac{ P _{1}}{ P _{2}}=2$
Standard 11
Physics
