When the KE of a particle is increased by 300%, the momentum of the body si increased by :

Options

A. `100%`
B. `150%`
C. `sqrt(300%)`
D. `175%`

Explanation

[1]
Let initial energy `E_(1)=E`
final KE, `E_(2)=E+300%` of E= 4E
As P `propsqrt(E)rArr(P_(2))/(P_(1))=sqrt((E_(2))/E_(1))=sqrt((4E)/(E))=2`
`rArrP_(2)=2P_(1)rArrP_(2)=P_(1)+100%of P_(1)`
i.e. momentum will increase by `100%`