Two bodies A and B having masses in the ra

Your Ultimate Guide to JEE & NEET Question Solutions

Two bodies $A$ and $B$ having masses in the ratio of $3 : 1$ possess the same kinetic energy. The ratio of their linear momenta is then

A

$3:1$

B

$9:1$

C

$1:1$

D

$\sqrt 3 :1$

Two bodies $A$ and $B$ having masses in the ratio of $3 : 1$ possess the same kinetic energy. The ratio of their linear momenta is then

$P = \sqrt {2mE} $
$\frac{{{P_1}}}{{{P_2}}} = \sqrt {\frac{{{m_1}}}{{{m_2}}}} $ (if $E =$ constant)
 $\frac{{{P_1}}}{{{P_2}}} = \sqrt {\frac{3}{1}} $