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The Intensity of Gamma Rays Passing Through a Material as a Function

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The intensity of gamma rays passing through a material as a function of thickness, x is given by  The intensity of gamma rays passing through a material as a function of thickness, x is given by   where n is the number of atoms per cm<sup>3</sup> and  \sigma  is the absorption cross section. If the intensity of gamma rays of a particular energy is reduced by half when they passed through 1 cm of lead, what is the absorption cross section for the gamma rays? The density of lead is 11.3 g/cm<sup>3</sup> and its molar mass is 207 g. A)  3.5 * 10<sup>-</sup> <sup> </sup>   <sup> </sup> <sup>2</sup><sup>2</sup> cm<sup>2</sup> B)  6.8 * 10   <sup> </sup> <sup>2</sup><sup>2</sup> cm<sup>2</sup> C)  4.6 * 10   <sup> </sup> <sup>23</sup> cm<sup>2</sup> D)  2.1 * 10   <sup> </sup> <sup>23</sup> cm<sup>2</sup> E)  8.4 * 10   <sup> </sup> <sup>2</sup><sup>4</sup> cm<sup>2</sup> where n is the number of atoms per cm3 and σ\sigma is the absorption cross section. If the intensity of gamma rays of a particular energy is reduced by half when they passed through 1 cm of lead, what is the absorption cross section for the gamma rays? The density of lead is 11.3 g/cm3 and its molar mass is 207 g.


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