1.

A narrow beam of thermal neutrons is attenuated eta= 360 time s after passing through a cadmium plate of thickness d= 0.50mm. Determine the effective corss-section of interaction of these neutrons with cadmium nuclei.

Answer»

Solution :We have the relation
`(1)/(eta)=e^(-nsigma)`
Here`(1)/(eta)=` attentution factor
`n=` no. of `Cd` nuclei PER UNIT volume
`SIGMA=` effective cross section
`d=` thickness of the plate
Now `n=(rhoN_(A))/(M)`
`(RHO=` density, `M=` Molar weight of `Cd, N_(A)=` AVOGADRO number.)
Thus `sigma=(M)/(rhoN_(A)d)In eta = 2.53kb`


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