Physics · PYQ NEET UG 2019(2)

A body of mass \( m \) with initial momentum \( (20\hat{i} + 25\hat{j} - 12\hat{k}) \) suddenly breaks into two pieces whose masses are in the ratio \( 1 : 5 \). The smaller mass flies off with a velocity \( (100\hat{i} + 35\hat{j} + 8\hat{k}) \). The velocity of the larger piece will be,

1. A
   \( -20\hat{i} - 15\hat{j} - 80\hat{k} \)
2. B
   \( 4\hat{i} + 23\hat{j} - 16\hat{k} \)
3. C
   \( -100\hat{i} - 35\hat{j} - 8\hat{k} \)
4. D
   \( 20\hat{i} + 15\hat{j} - 80\hat{k} \)