Two identical balls `A` and `B`. each of mass `2 kg` and radius `R`, are suspended vertically from inextensible strings as shown in Fig. The third ball `C` of mass `1 kg` and radius `r=(sqrt(2)-1)R` falls and hits `A` and `B` symmetrically with `10 m//s`. Speed of both `A` and `B` just after the collision is `3 m//s`.

Impulse provided by each sting during collision is

Options

A. `6sqrt(2)Ns`
B. `12Ns`
C. `3sqrt(2)Ns`
D. `6Ns`

Answer

D

Explanation

impulse provided by each string
`I_(1)=Isintheta=6Ns`