A bomb at rest explodes into 3 parts of same mass. The momentum of two parts is -3P\(\hat{\mathrm{i}}\) and 2P\(\hat{\mathrm{j}}\) respectively. The magnitude of momentum of the third part is
A. P
B. \(\sqrt{5} \mathrm{P}\)
C. \(\sqrt{11} \mathrm{P}\)
D. \(\sqrt{13} \mathrm{P}\)
Answer:D
A bomb at rest explodes into 3 parts of same mass. The momentum of two parts is -3P\(\hat{\mathrm{i}}\) and 2P\(\hat{\mathrm{j}}\) respectively. The magnitude of momentum of the third part is
A. P B. \(\sqrt{5} \mathrm{P}\) C. \(\sqrt{11} \mathrm{P}\) D. \(\sqrt{13} \mathrm{P}\)