# Kinetic energy of particles of mass 10 g and 40 g is same, the ratio of their linear momentum is

Q: Kinetic energy of particles of mass 10 g and 40 g is same, the ratio of their linear momentum is

(a) 1/4

(b) 1/2

(c)1/√2

(d)√2/1

Sol: $\displaystyle K_1 = K_2$
$\displaystyle K_1 = K_2$
$\displaystyle \frac{p_1^2}{2 m_1} = \frac{p_2^2}{2 m_2}$
$\displaystyle \frac{p_1}{p_2} = \sqrt{\frac{m_1}{m_2}} = \sqrt{\frac{1}{4}}$
$\displaystyle \frac{p_1}{p_2} = \frac{1}{2}$