A body of mass `1kg` initially at rest explodes and breaks into threee fragments of masses in the ration breaks into three fragments of masses in the ration `1: 1: 3`. The two pieces of equal masses fly off perpendicular to each other with a speed of `30m//s` each What is the velocity of heavier fragments ? .
A. `(10)/(sqrt(2))m//s`
B. `10sqrt(2)m//s`
C. `20sqrt(2)m//s`
D. `30sqrt(2)m//s`