The mass of two substance are `4 gm and 9 gm` respectively. If their kinetic energy are the same, then the ratio of their momrntum will be

Options

A. `4:9`
B. `9:4`
C. `3:2`
D. `2:3`

Explanation

We know kinetic energy of a partical
`K = (1)/(2) mv^(2)`
We can write `K = (1)/(2) mv^(2) xx ((m)/(m)) = (1)/(2) (m^(2) v^(2))/(m) = (P^(2))/(2m)`
`P = sqrt(2 mK) implies (P_(1))/(P_(2)) = sqrt((m_(1))/(m_(2))) = = sqrt((4)/(9)) = (2)/(3)`