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

Click to See Answer :
Ans: (b)
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} $