1.

Detemine how many times the intensity of a narrow beam of thermal neutrons will decrease after passing through the heavy water layer of thickness `d=5.0 cm`. The effective cross-section are of neutrons quitting the beam due to scattering if the thickness of the plate is `d= 0.50 cm`. The effective cross-section of interaction of deuterium and oxygen nuclei with thermal neutrons are equal to `sigma_(1_= 7.0 b ` and `sigma_(s)= 11 b` respectivley.

Answer» Here
`(1)/(eta)=e^(-n_(2)sigma_(2)+n_(1)sigma_(1)d)`
where `1` refers to `O^(1)` and 2 o r `D` nuclei
Using `n_(2)=2n,n_(1)=n=` concentration of `O` nuclei in heavy water we get
`(1)/(eta)= e^(-2sigma_(2)+sigma_(1)nd)`
Now using the data for heavy water
`n=(1.1xx6.023xx10^(23))/(20)= 3.313xx10^(22)per c c`
Thus substituting the values
`eta= 20.4=(I_(0))/(I)`


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