Two masses of `1 `gas and `4` gas are moving with oqualkinetic energy . The ratio of their liner moment is

Options

A. `4:1`
B. `sqrt(2) :1`
C. `1:2`
D. `1:16`

Answer

C

Explanation

(c ) `K .E = (p^(2))/(2m)`
`E_(1) = E_(2) :. (p_(1)^(2))/(m_(1)) = (p_(2)^(2))/(m_(2))`
`:. (p_(1)^(2))/(p_(2)^(2)) = (m_(1))/(m_(2)) rArr (p_(1))/(p_(2)) = sqrt((m_(1))/(m_(2))) = sqrt((1)/(4)) = (1)/(2)`