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Question

When a U238 nucleus originally at rest decays by emitting an alpha particle having a speed ‘u’, the recoil speed of the residual nucleus is


A

4u238

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B

u238

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C

4u234

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D

u234

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Solution

The correct option is C

4u234


The momentum of the system remains the same before and after decay. This is in accordance with the principle of conservation of momentum.

Now, 4u+234v=238×0
or 234 v = – 4u or v=4u234
So, (c) is the right choice.


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