Two balls of mass m and `2 m` each have momentum `2p` and p in the direction shown in figure. During collision they exert and impulse of magnitude p on each other.

`{:(,"Column I",,"Column II",),((A),"After collision momentum of m",(p),2p,),((B),"After collision momentum of 2m",(q),p,),((C ),"Coefficient of restituation between them",(r ),1,),(,,(s),"None",):}`

Answer

(A) `rarr` q; (B) `rarr` p; (C ) `rarr` s

Explanation

Impulse `=` change in omomentum
(A) For body `M : p = |vec(P)_(f) - vec(P)_(t)| rArr p_(1) = p`
(B) For body `2M : p = |vec(p)_(f) - vec(p)_(t)| rArr p_(f) = 2p`
(C ) `e = (v_(2) - v_(1))/(u_(1) - u_(2)) rArr ((p)/(M) - (p)/(M))/((2p)/(M) - (p)/(2M)) = 0 rArr e = 0`