Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e(μ2μ1)x.

(b)

To determine

The ratio of intensities emerging from an aluminum plate of thickness 1.00mm if the incident beam contains equal intensities of 50pm and 100pm x-rays.

(c)

To determine

The ratio of intensities emerging from an aluminum plate of thickness 10.00mm if the incident beam contains equal intensities of 50pm and 100pm x-rays.

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When photons pass through matter, the intensity I of the beam (measured in watts per square meter) decreases exponentially according to                                            I = I0e-μxwhere I is the intensity of the beam that just passed through a thickness x of material and I0 is the intensity of the incident beam. The constant μ is known as the linear absorption coefficient, and its value depends on the absorbing material and the wavelength of the photon beam. This wavelength (or energy) dependence allows us to filter out unwanted wavelengths from a broad-spectrum x-ray beam.(a) Two x-ray beams of wavelengths λ1 and λ2 and equal incident intensities pass through the same metal plate. Show that the ratio of the emergent beam intensities is                                          (I2)/(I1) = e-(μ2 - μ1)x(b) Compute the ratio of intensities emerging from an aluminum plate 1.00 mm thick if the incident beam contains equal intensities of 50 pm and 100 pm x-rays. The values of μ for…
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