Two bodies of different masses are moving with same kinetic energy. Then, the ratio of their moment is equal to the ratio of their

Options

A. masses
B. square of masses
C. square root of masses
D. cube root of masses

Answer

C

Explanation

(c ) Let the kinetic energy is K and masses of bodies are `m_(1)` and `m_(2)`.
For first body, `P_(1)=sqrt(2m_(1)K)`
`:, " " p_(1)^(2)=2m_(1)K" " …(i)`
Similarly, for second body,
`p_(2)^(2)=2m_(2)K " " ....(ii)`
Dividing Eq. (i) by Eq.(ii), we get
`(p_(1)^(2))/(p_(2)^(2))=(2m_(1)K)/(2m_(2)K)'(p_(1))/(p_(2))=sqrt((m_(1))/(m_(2)))`
`(p_(1))/(p_(2))="square root of masses"`.