Beam Intensity and Particle Count

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Questions and Answers

What is the total sensitive area associated with the nuclei in the face area of the foil?

  • nσdx
  • ndxAσ (correct)
  • ndxσ
  • ndx/A

What is the unit of microscopic cross section?

  • barn (b) (correct)
  • mb
  • cm^2
  • nm^2

What is the total cross section σtot equal to?

  • The product of n and σ
  • The sum of the particle cross sections σ1, σ2, … (correct)
  • The ratio of the particle cross sections σ1, σ2, …
  • The difference of the particle cross sections σ1, σ2, …

What is the fractional sensitive area f in terms of the number of nuclei per unit volume, the cross-sectional area, and the thickness of the foil?

<p>nσdx (C)</p> Signup and view all the answers

What is the macroscopic cross section Σ equal to?

<p>The product of n and σ (C)</p> Signup and view all the answers

What is the change in intensity of the beam as it passes through the foil?

<p>dI/I (D)</p> Signup and view all the answers

What is the reaction rate (RR) defined as?

<p>The number of nuclear reactions taking place in a unit time (B)</p> Signup and view all the answers

What is the significance of the negative sign in the equation f = -dI/I?

<p>I decreases with x (D)</p> Signup and view all the answers

What is the assumption about the thickness of the foil in the derivation of the equation?

<p>The foil is so thin that the cross-sectional area σ surrounding any nucleus is not shadowed by another nucleus (A)</p> Signup and view all the answers

What is the absorption coefficient α equal to in an absorption-type reaction?

<p>nσ (C)</p> Signup and view all the answers

What is the formula for the intensity I of the beam after it has passed through a foil of thickness x?

<p>I = Io e^-nσx (A)</p> Signup and view all the answers

What is the condition applied to equation (4-7) to obtain the final solution?

<p>I=Io at x=0 (C)</p> Signup and view all the answers

What is the formula to calculate the reduced mass of the incident particle and the target nucleus?

<p>Mred = mxMX/(mx+MX) (B)</p> Signup and view all the answers

What is the threshold energy for the reaction 19F(n, p)19O?

<p>4.1 MeV (B)</p> Signup and view all the answers

What is the Q-value of the reaction 19F(n, p)19O?

<p>-3.9 MeV (B)</p> Signup and view all the answers

What is the minimum energy needed for an endoergic reaction to take place?

<p>Threshold energy (B)</p> Signup and view all the answers

What is the probability of a single incident particle interacting with an individual target nucleus?

<p>Cross-section (B)</p> Signup and view all the answers

Why do not all incident particles produce nuclear reactions?

<p>Due to the low probability of interaction (C)</p> Signup and view all the answers

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