A nucleus moving with velocity v- emits an -particle- Let the velocities of the -particle and the remaining nucleus be v-1 and v-2 and their masses be m1 and m2- then-

The correct option is C m_1v⃗_1+m_2v⃗_2 must be parallel to v⃗ Momentum of the system is conserved.If m_i is the initial mass.Applying momentu ...

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Standard XII

Physics

COM in Collision and Explosion

A nucleus mov...

Question

A nucleus moving with velocity $\to v$ emits an $α - p a r t i c l e$ . Let the velocities of the $α - p a r t i c l e$ and the remaining nucleus be ${\to v}_{1}$ and ${\to v}_{2}$ and their masses be $m_{1}$ and $m_{2}$ , then:

\to v, {\to v}_{1}

, and

{\to v}_{2}

must be parallel to each other

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none of the two of

\to v, {\to v}_{1}

, and

{\to v}_{2}

should be parallel to each other

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{\to v}_{1} + {\to v}_{2}

must be parallel to

\to v

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m_{1} {\to v}_{1} + m_{2} {\to v}_{2}

must be parallel to

\to v

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Solution

The correct option is C $m_{1} {\to v}_{1} + m_{2} {\to v}_{2}$ must be parallel to $\to v$
Momentum of the system is conserved.
If $m_{i}$ is the initial mass.
Applying momentum conservation.
$m_{i} v = m_{1} v_{1} + m_{2} v_{2}$
Hence $v$ is parallel (along the direction of) $v_{1} + v_{2}$
Hence option D is correct.

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