Three particles of masses $10\;g, 20\;g$ and $40\;g$ are moving with velocities $10\widehat i,10\widehat j$ and $10\widehat k\;m/s$ respectively. If due to some mutual interaction, the first particle comes to rest and the velocity of second particle becomes $\left( {3\widehat i + 4\widehat j\,\,} \right)\, m/s$, then the velocity of third particle is
Three particles of masses $10\;g, 20\;g$ and $40\;g$ are moving with velocities $10\widehat i,10\widehat j$ and $10\widehat k\;m/s$ respectively. If due to some mutual interaction, the first particle comes to rest and the velocity of second particle becomes $\left( {3\widehat i + 4\widehat j\,\,} \right)\, m/s$, then the velocity of third particle is
- A
$\hat i\,\, + \,\,\hat j\,\, + \,\,5\hat k$
- B
$\hat j\,\, + \,\,10\hat k$
- C
$\hat i\,\, + \,\,\hat j\,\, + \,\,10\hat k$
- D
$\hat i\,\, + \,\,3\hat j\,\, + \,\,10\hat k$
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- [AIPMT 2013]