In order to define the distance from the source that is
l=vT, one has to obtain both velocity and half-life period of neutrons.
1) according to the de Broglie theory, there exists the following relation for the momentum of a particle:
p=λh,p=mv
⇒v=mλh 2) there exists the following relation between the half-life and average lifetime of a decaying object:
T1/2≡T=τln2 Finally, we obtain:
l=mλhτln2=1.67⋅10−27⋅10−96.62⋅10−34⋅9⋅102ln2≈2.4⋅105m Answer: (1) 2.4 * 105 m.
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