To show that the ratio of the emergent beam intensities is I 2 / I 1 = e − ( μ 2 − μ 1 ) x .

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Answer 1

Question

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

(b)

To determine

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

(c)

To determine

The ratio of intensities emerging from an aluminum plate of thickness 10.00 mm if the incident beam contains equal intensities of 50 pm and 100 pm 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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Answer 2

Question

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

(b)

To determine

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

(c)

To determine

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

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

(b)

To determine

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

(c)

To determine

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

(b)

To determine

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

(c)

To determine

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

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

(b)

To determine

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

(c)

To determine

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

Answer 6

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

Answer 7

Chapter 43, Problem 64AP

(a)

To determine

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

Answer 8

(b)

To determine

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

Answer 9

(b)

To determine

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

Answer 10

(c)

To determine

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

Answer 11

(c)

To determine

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

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 43.1 - Prob. 43.1QQ Ch. 43.5 - Prob. 43.3QQ Ch. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQ Ch. 43.10 - Prob. 43.7QQ Ch. 43 - Prob. 1P Ch. 43 - Prob. 2P Ch. 43 - Prob. 3P Ch. 43 - Prob. 4P

To show that the ratio of the emergent beam intensities is I 2 / I 1 = e − ( μ 2 − μ 1 ) x .

Solution Summary: The author analyzes the ratio of the emergent beam intensities, which is I_2/ I1=e-(mu

Concept explainers

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

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

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

Want to see the full answer?

Chapter 43 Solutions

To show that the ratio of the emergent beam intensities is I 2 / I 1 = e − ( μ 2 − μ 1 ) x .

Solution Summary: The author analyzes the ratio of the emergent beam intensities, which is I_2/ I­1=e-(mu

Concept explainers

To show that the ratio of the emergent beam intensities is I2/I1=e−(μ2−μ1)x.

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

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

Want to see the full answer?

Chapter 43 Solutions

Solution Summary: The author analyzes the ratio of the emergent beam intensities, which is I_2/ I1=e-(mu