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An X-ray machine makes a picture of a broken arm (shown above)by sending high energy photons through an object that is opaque to visible wavelengths
An X-ray machine makes a picture of a broken arm (shown above)by sending high energy photons through an object that is opaque to visible wavelengths and measures the relative intensity of the X-rays that emerge on the other side. Denser substances, such as bone, absorb more photons than less dense substances and thus show up differently. Material Absorption length Air 3.4 m Fat 0.052m Water 0.047m Bone 0.017mConsider the table of X-ray absorptions shown above. Near the center of an arm, the X-rays pass through 2.8 cm of muscle, 3.6 cm of bone, and 3 more cm of muscle. What fraction of the incident X-rays get through this part of the arm? (Hint: assume muscle has the same x- ray stopping power as fat.)Assume now that the same beam of X-rays pass through an adjoining portion of the arm (say, directly between the two bones seen), so the path through the arm is the same but the X-rays are only going through muscle and fat. What fraction of the incident X-rays pass through this part of the arm
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