problem is Suppose we consider a beam of neutrons incident upon a thin garge wit

Question

problem is Suppose we consider a beam of neutrons incident upon a thin garge with an intensity of 10^12 neutrons/cm^2-sec. Suppose further that the total cross section for the nuclei in this target is 4 b. Using this information, determine how long one would have to wait, on the average, for a given nucleus in the target to suffer a neutron interaction.

------i have some questions about this. first why at least 2 neutrons completely overlapping is required.

and i think 10^12 neutrons/cm^2-sec*4 b =4*10^(-12)/sec ----- so 4*10^(-12) sec is required why this equation incorrect?

Explanation / Answer

Solution :-

At least 2 neutrons completely overlapping.

4 b = 4 * 10-24 cm2

Intensity = 1012 neutrons/cm2-sec = 4 * 10-12neutrons/(4b)-sec

This intensity has to become = 2 neutrons/(4b)-sec

Therefore, time = 2/(4 * 10-12) = 5 * 1011 sec

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