Two masses of 2 g and 6 are moving with equal kinetic energy. The ratio of the magnitudes of their Linear momenta is,

Options

A. `1 : 2`
B. `2 : 1`
C. `2 : 6`
D. `1 : sqrt3`

Answer

D

Explanation

`k.E=(1)/(2)m_(1)v_(1)^(2), = (1)/(2)m_(2)v_(2)^(2)` = constant.
`(v_(1)^(2))/(v_(2)^(2))=(m_(2))/(m_(1))rArr (6)/(2)`
`(v_(1))/(v_(2))=sqrt3`
Therefore,
`(l_(1))/(l_(2))=(sqrt3)/(3)=(1)/(sqrt3)=1 : sqrt3`