Collisions in one dimension - class-XI

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A particle of mass $1\ g$ moving with a velocity $\vec {v _{1}} = 3\hat {i} - 2\hat {j} ms^{-1}$ experiences a perfectly in elastic collision with another particle of mass $2\ g$ and velocity $\vec {v _{2}} = 4\hat {j} - 6\hat {k} ms^{-1}$. The velocity of the particle is:

  1. $2.3\ ms^{-1}$
  2. $4.6\ ms^{-1}$
  3. $9.2\ ms^{-1}$
  4. $6\ ms^{-1}$
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