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प्रयोगशाला के निर्देश फ्रेम में कोई नाभिक विराम में है। यदि यह नाभिक दो छोटे नाभिकों में विघटित हो जाता है, तो यह दर्शाइए कि उत्पाद विपरीत दिशाओं में गति करने चाहिए।
Solution
Let $m, m_{1},$ and $m_{2}$ be the respective masses of the parent nucleus and the two daughter nuclei. The parent nucleus is at rest.
Initial momentum of the system (parent nucleus) $=0$
Let $v_{1}$ and $v_{2}$ be the respective velocities of the daughter nuclei having masses $m_{1}$ and $m_{2} .$
Total linear momentum of the system after disintegration $=m_{1} v_{1}+m_{2} v_{2}$
According to the law of conservation of momentum:
Total initial momentum $=$ Total final momentum
$0=m_{1} v_{1}+m_{2} v_{2}$
$v_{1}=\frac{-m_{2} v_{2}}{m_{1}}$
Here, the negative sign indicates that the fragments of the parent nucleus move in directions opposite to each other.
