question_answer

A body of mass 1 kg initially at rest, explodes and breaks into three fragments of masses in the ratio 1:1:3. The two pieces of equal masses fly off perpendicular to each other with a speed of 30 m/s each. What is the velocity of the heavier fragment?

A)  10 m/s

B)  20 m/s

C)  \[10\sqrt{2}\,\,m/s\]  

D)  \[20\sqrt{2}\,\,m/s\]

Correct Answer: C

Solution :

            \[30\sqrt{2m}=(3\,\,m)\times v\] \[\therefore \]      \[v=10\sqrt{2}m/\sec \]