Physics - Center of Mass Question with Solution | TestHub

Particle$\mathrm{A}$of mass${\mathrm{m}}_1$moving with velocity$\left(\sqrt{3}\hat{\mathrm{i}}+\hat{\mathrm{j}}\right){\mathrm{ms}}^{-1}$collides with another particle$\mathrm{B}$of mass${\mathrm{m}}_2$which is at rest initially. Let${\overrightarrow{\mathrm{v}}}_1$and${\overrightarrow{\mathrm{v}}}_2$be the velocities of particles$\mathrm{A}$and$\mathrm{B}$after collision respectively. If${\mathrm{m}}_1=2{\mathrm{m}}_2$and after collision${\overrightarrow{\mathrm{v}}}_1-\left(\hat{\mathrm{i}}+\sqrt{3}\hat{\mathrm{j}}\right){\mathrm{ms}}^{-1}$, the angle between${\overrightarrow{\mathrm{v}}}_1$and${\overrightarrow{\mathrm{v}}}_2$is :