Does air pressure affect the range of alpha particles in air?

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SUMMARY

The range of alpha particles in air is directly affected by air pressure, as established by the equation x = d * (p/q), where p is the initial pressure (10^5 Pa) and q is the reduced pressure (10 Pa). As the pressure decreases, the number of air molecules diminishes, leading to an increase in the range of the alpha particles. This relationship is supported by the ideal gas law, which correlates the number of molecules to pressure. The discussion references equations (25) and (27) from a document detailing the passage of particles through matter.

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Homework Statement


We have an alpha particle moving in the air (p=10^5 Pa). Its range is "d". What would be the range if the pressure was q=10 Pa only.


Homework Equations


x=d*(p/q) ?


The Attempt at a Solution


I think the particle is slowed down the more the more is the number of molecules in the air. And the number of molecules is proportional to the pressures (from the ideal gas law). It seems to be too easy that the range will be incresed by the quotient of the pressures.
 
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