Why does the recoiling nucleus have a smaller momentum than the alpha particle?

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The discussion centers on the momentum of a recoiling nucleus compared to an emitted alpha particle during radioactive decay. The key point is that the recoiling nucleus has a much larger mass than the alpha particle, which results in a smaller velocity and thus smaller momentum for the nucleus, confirming option D as correct. The participants express confusion over the reasoning behind other options, particularly regarding the conservation of momentum and the lack of information about the stationary state of the system. They also discuss the implications of forces acting on both particles and the relationship between their speeds and momenta. Overall, the conversation highlights the complexities of understanding momentum in nuclear decay processes.
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Homework Statement



A radium nucleus decays by emitting an alpha particle. The speed of the recoiling
nucleus is small compared to the speed of the alpha particle. This is because the:

A force acting on the recoiling nucleus is smaller than the force acting on the
alpha particle
B momentum is mainly concentrated in the alpha particle
C momentum of the recoiling nucleus is smaller than the momentum of the
alpha particle
D recoiling nucleus has a much larger mass than the alpha particle

why is it D?
http://www.edexcel.com/migrationdoc...E January 2010 - ER/6PH04_01_pef_20100310.pdf

Look at question 7)

for part (i) why is it C and

for part (iii) we were NOT told that O was stationairy so why is it D?

Homework Equations


The Attempt at a Solution


ok so for q3)
there is no way to conclude any of them
A: we don't know the accelerations
B: how much faster is it moving?
C: again we don;t know exact speeds
D: true but why relevant?

for Q7)
i) I would have said none of them can be KNOWN
but I would say X and Y have the same charge as they move in the same direction

ii) I got

iii)
we are not told if O is stationairy or not?
 
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ok so I get the first one. momentum is conserved and the forces are the same due to netwon 3
but for Q7 in the paper I don't undertand i or iii)
 
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