A uniform rod of mass M_(1)is hinged at its upper end. A particle of mass M_(2)moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision, the value of (M_(1))/(M_(2)) is -

A uniform rod of mass M_(1)is hinged at its upper end. A particle of m

1.	A uniform rod of mass M_(1)is hinged at its upper end. A particle of mass M_(2)moving horizontally strikes the rod at its mid point elastically. If the particle comes to rest after collision, the value of (M_(1))/(M_(2)) is -
Answer» `(3)/(4)` `(4)/(3)` `(2)/(3)` `(3)/(2)` SOLUTION :`L_(H)=M_(2)V(L)/(2)=(M_(1)L^(2))/(3)omega` `omega=(2M_(2)v)/(2M_(1)L)""…(1)` for `e=1, v_(CM)=v -(omegaL)/(2)""…(2)` `RARR (2V)/(L)=(3M_(2)v)/(2M_(1)L)` `rArr (M_(1))/(M_(2))=(3)/(4)`