An object initially at rest explodes into three fragments. A,B and C The momentum of A is P$\overrightarrow i$ that of B is $\sqrt 3$ P $\overrightarrow j$ where P is positive number. The momentum of C into be

Question

a) $(1+ \sqrt 3)P$ in direction $120 ^{\circ}$ with that of A

b) $(1+ \sqrt 3)P$ in direction $150 ^{\circ}$ with that of A

c) $2P$ in direction $150 ^{\circ}$ with that of A

d) $2P$ in direction $150 ^{\circ}$ with that of B