Correct Answer - D
According to the question, we get can draw the following diagram. Now, the magnitude of momentum of the third part is given by
`p_(3)=sqrt((p_(1)^(2))+(p_(2))^(2))`
`p_(3)=sqrt((-3p)^(2)+(2p)^(2))`
`p_(3)=sqrt(9p^(2)+4p^(2))`
`p_(3)=sqrt(13p^(2))`
`:." "p_(3)=sqrt(13)p`