A nucleus moving with a 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-

The correct option is D m_1v̅_̅1̅+m_2v̅_̅2̅ must be parallel to (m_1+m_2)v̅ .If mass of nucleus is m, mass of α particle is m_1 amp; ...

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Byju's Answer

Standard XII

Physics

COM in Collision and Explosion

A nucleus mov...

Question

A nucleus moving with a velocity $¯ v$ emits an $α$ -particle. Let the velocities of the $α$ -particle and the remaining nucleus be $_{1}$ and $_{2}$ and their masses be $m_{1}$ and $m_{2}$ .

¯ v,_{1} a n d_{2}

must be parallel to each other

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None of the two of

¯ v,_{1} a n d_{2}

should be parallel to each other

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m_{1}_{1} + m_{2}_{2}

must be parallel to

(m_{1} + m_{2}) ¯ v

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None of these

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Solution

The correct option is D $m_{1}_{1} + m_{2}_{2}$ must be parallel to $(m_{1} + m_{2}) ¯ v$ .
If mass of nucleus is m, mass of $α$ particle is $m_{1}$ & mass of remaining nucleus is $m_{2}$ , then from the law of conservation of momentum.
$m ¯ v i n i t i a l m o m e n t u m o f n u c l e u s = m_{1} {¯ v}_{1} m o m e n t u m o f α p a r t i c l e + m_{2} {¯ v}_{2} m o m e n t u m o f r e m a i n i n g n u c l e u s$

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A nucleus moving with a velocity ¯v emits an α-particle. Let the velocities of the α-particle and the remaining nucleus be ¯v1 and ¯v2 and their masses be m1 and m2.

The correct option is D m1¯v1+m2¯v2 must be parallel to (m1+m2)¯v.If mass of nucleus is m, mass of α particle is m1 & mass of remaining nucleus is m2, then from the law of conservation of momentum. m¯vinitialmomentumofnucleus=m1¯v1momentumofαparticle+m2¯v2momentumofremainingnucleus

A nucleus moving with a velocity $¯ v$ emits an $α$ -particle. Let the velocities of the $α$ -particle and the remaining nucleus be $_{1}$ and $_{2}$ and their masses be $m_{1}$ and $m_{2}$ .