If the increase in the kinetic energy of a body is 21%, then the increase in the momentum will be

Options

A. 0.22
B. 0.44
C. 0.1
D. 3

Answer

C

Explanation

`P=sqrt(2mE)`. If m is constant then
`(P_(2))/(P_(1))=sqrt((E_(2))/(E_(1)))=sqrt((1.22E)/(E ))rArr (P_(2))/(P_(1))=sqrt(1.22)=1.1`
`rAr P_(2)=1.1 P_(1)rArr =P_(1)+0.1 P_(1)=P_(1)+10%` of `P_(1)`
So the momentum will increase by 10%