Thickness of Lead to block photons: Difference between revisions
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<math>\frac{h _2}{84.56 + d} = tan(1.95 + .25 \cdot 1.95) => h _2 = .042568d + 3.599557</math> | <math>\frac{h _2}{84.56 + d} = tan(1.95 + .25 \cdot 1.95) => h _2 = .042568d + 3.599557</math> | ||
<math>tan \theta = \frac{ | <math>tan \theta = \frac{2.1589 cm}{4.56 cm} => 25.6^{\circ}</math> | ||
<math>tan \theta = \frac{h _2}{4.56 cm + d} => tan (25.6^{\circ}) =\frac{.042568d + 3.599557}{d + 4.56 cm}</math> | <math>tan \theta = \frac{h _2}{4.56 cm + d} => tan (25.6^{\circ}) =\frac{.042568d + 3.599557}{d + 4.56 cm}</math> | ||
∴ <math>\textbf{the}</math> <math>\textbf{thickness}</math> <math>\textbf{of}</math> <math>\textbf{the}</math> <math>\textbf{lead = 3.24 cm}</math> | ∴ <math>\textbf{the}</math> <math>\textbf{thickness}</math> <math>\textbf{of}</math> <math>\textbf{the}</math> <math>\textbf{lead = 3.24 cm}</math> | ||
Revision as of 13:11, 5 June 2008
[math]\displaystyle{ \frac{h _1}{84.56 cm} = tan(1.95 \times .25 \cdot 1.95) => h _1 = 2.1589 cm }[/math]
[math]\displaystyle{ \frac{h _2}{84.56 + d} = tan(1.95 + .25 \cdot 1.95) => h _2 = .042568d + 3.599557 }[/math]
[math]\displaystyle{ tan \theta = \frac{2.1589 cm}{4.56 cm} => 25.6^{\circ} }[/math]
[math]\displaystyle{ tan \theta = \frac{h _2}{4.56 cm + d} => tan (25.6^{\circ}) =\frac{.042568d + 3.599557}{d + 4.56 cm} }[/math]
∴ [math]\displaystyle{ \textbf{the} }[/math] [math]\displaystyle{ \textbf{thickness} }[/math] [math]\displaystyle{ \textbf{of} }[/math] [math]\displaystyle{ \textbf{the} }[/math] [math]\displaystyle{ \textbf{lead = 3.24 cm} }[/math]