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  1. lnteraction of Neutrons lyith S{atter , .l Probleml. 'fwo beams of l-ev neutrons intersect at an angle of g0". The rJensity of neutrons in both beams is 2xlOrln/cm3. . a) Calculate the intensity of each beam. : , , , b) what is the neutron flux where trre bcanrs intersect? t, . Problem 2. A monoencrgctic bcam oI ttctrtrons- 4-x,1,1)t0 n/(s cur2). impingcs on a target I cm2 in area and 0'l ctn thick. fltcrc l'c 0.048xlOrt at.nrs p*r'.,n1'inir1.'l*e" ij rrr" total cross-section at the energy of the beanr is 4.5 b" I a) What is the nracroscopic cross-section? ,, r ilii: : b] fg* llany neutron inieracti.ns per second occnr'in t-he t*'bYr' c) What is the collision den.sity lcoilision rate)? --- :-- -arget? Problern 3. The I entitter ]tat 6]*tr'tife 2.3 min) can he proclucecl by the raclioactive capture of , , neutronsby28Al.r.neo.ozs:-"V.,o,,-,ection1brjtlrisreactionis0.23b.Supposethata.. small,0.0l-g aluminurn targer is'placed in a beam 3;jtF;i;;X "ro.ozi:-rv n",,r*i rvhich strikes the entire target. Calculate: a) The neutron rlensity in lhc bcam: which ttAl is produced. *1r, b) The Problem 4. A beam of 2-l\'tcv neutrons is inciclerit on a.slah.ofJreavy.,r,r,';rter (D2o). TSe,totat;;:_!,i++ ., cross-section of deuterium and oxygen at this energy are z.iand 1.6 b, respectively. , a)Whatistlremacrosbopictotilcross.sectionofheavywaterat2MeV? ,)H:il*fk:rrrrsttheslabbetoreclttccthcintensity,ir.tr'"uncollidedbeambya c) If an incident neutron has a collision in the slab. r.vhat is the relativeprobability it collides with deuterium? that
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