A beam of neutrons is normally incident on a homogeneous slab that is 6-cm thick
ID: 2139968 • Letter: A
Question
A beam of neutrons is normally incident on a homogeneous slab that is 6-cm thick. The
intensity of neutrons transmitted through the slab without interaction is measured to be
30% of the incident intensity.
a) What is the effective attenuation coefficient (macroscopic cross-section), St for the
slab material?
b) What is the average distance a neutron travels in this material before undergoing an
interaction (also known as the mean free path)?
Will rate, need an answer quickly so I'm offering a LOT of points. Please include how you arrived at each answer for credit. Thank you.
Explanation / Answer
We will use the Beer Lambert Law.
I = I' e^(-xa)
where I = intensity of transmitted light
I' = initial intensity
x = thickness
a = attenuation coefficient
0.3 = e^(-0.06*a)
a = 20
Mean free path = thickness * number of neutrons
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