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When manufacturing sheets of [[material]] a [[Beta Particle|beta]] source and detector can be used to control the separation of a pair of rollers. When the [[material]] becomes too thick the rollers move closer together, squashing the [[material]]. When the [[material]] becomes to thin the rollers move further apart to squash the [[material]] less.
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===Equation===
<math>{}_Z^AX \rightarrow {}_{Z+1}^{A}Y + {}_{-1}^0\beta</math>
<math>{}_{28}^{65}Ni \rightarrow {}_{29}^{65}Cu + {}_{-1}^0\beta</math>
====Example Calculations====
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| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
<math>{}_{7}^{13}N \rightarrow {}_{Z}^{A}X + {}_{-1}^0\beta</math>
| style="height:20px; width:300px; text-align:center;" |'''Find the [[element]] 'X' and calculate its [[Relative Atomic Mass|relative atomic mass]] 'A' and its [[Relative Atomic Charge|relative atomic charge]] 'Z'.'''
<math>{}_{Z}^{A}X \rightarrow {}_{48}^{111}Cd + {}_{-1}^0\beta</math>
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| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
13 = A + 0
A = 13
| style="height:20px; width:300px; text-align:left;" |'''1. Calculate the [[Relative Atomic Mass|relative atomic mass]] by looking at the top row of numbers.'''
A = 111 + 0
A = 111
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| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
7 = Z - 1
Z = 8
| style="height:20px; width:300px; text-align:left;" |'''2. Calculate the [[Relative Atomic Charge|relative atomic charge]] by looking at the bottom row of numbers.'''
Z = 48 - 1
Z = 47
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| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{8}^{13}O</math>
| style="height:20px; width:300px; text-align:left;" |'''3. Since the [[Relative Atomic Charge|relative atomic charge]] is the same as the [[Atomic Number|atomic number]] look up the [[element]] on the [[Periodic Table|periodic table]].'''
<math>{}_{47}^{111}Ag</math>
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