Reflection of nuclear particles. The transport nuclear tides in an evacuated duc

Question

Reflection of nuclear particles. The transport nuclear tides in an evacuated duct is an important aspect fusion reactor design. In one experiment, particles entering through the duct ends streamed unimpeded until they collided with the inner duct wall. Upon colliding, they were either scattered (reflected) or absorbed by the wall (Nuclear Science and Engineering, May 1986). The reflection probability (i.e., the probability that a particle is reflected off the wall) for one type of duct was found to be. 16. If two particles are released into the duct, find the probability that both will be reflected If five particles are released into the dutch, find the probability that all five will be absorbed What assumption about the simple events in parts a and b is required to calculate the probabilities?

Explanation / Answer

answer of part (a)

let p(reflected)=p(r)=0.16(given)

and p(absorbed)=p(a)=1-p(r)=1-0.16=0.84

answer of part (a)

required probability=0.16*0.16=0.0256

answer of part(b)

required probability=p(a)*p(a)*p(a)*p(a)*p(a)=(0.84)5=0.4182

answer of part(c)

assumption should be each event should be independent

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