question_answer

Two particles of masses m^ and 7712 in projectile motion have velocities\[{{\upsilon }_{1}}\]and\[{{\upsilon }_{2}}({{\upsilon }_{1}}<{{\upsilon }_{2}})\]respectively at\[t=0\]. They collide at time\[{{t}_{0}}\]Their velocities become\[\overline{\upsilon }{{}_{1}}\]and\[\overline{\upsilon }{{}_{2}}\]at time\[2{{t}_{0}}\]while still moving in it. The value of \[|({{m}_{1}}\overline{\upsilon }+{{m}_{2}}\overline{\upsilon }{{}_{2}})-({{m}_{1}}{{\overline{\upsilon }}_{1}}+{{m}_{2}}{{\overline{\upsilon }}_{2}})|\]is

A)  zero                                     

B)  \[({{m}_{1}}+{{m}_{2}})g{{t}_{0}}\]

C)  \[2({{m}_{1}}+{{m}_{2}})g{{t}_{0}}\]     

D)  \[\frac{1}{2}({{m}_{1}}+{{m}_{2}})g{{t}_{0}}\]