Explanation Write the expression for the Compton Effect in terms of energy for θ = 90 ° . 1 E = 1 E 0 + 1 m c 2 E 0 is the initial photon energy m is the mass of electron E is the photon energy c is the speed of light Rewrite the above equation in terms of E . 1 E = E 0 + m c 2 E 0 m c 2 E = E 0 m c 2 E 0 + m c 2 Write the expression for the kinetic energy of the electron. K = ( γ − 1 ) m c 2 (1) K is the kinetic energy of the electron Write the expression for the kinetic energy of the electron in terms of initial photon energy. K = E 0 − E Use E 0 m c 2 E 0 + m c 2 for E in the above equation to rewrite. K = E 0 − E 0 m c 2 E 0 + m c 2 = E 0 2 + E 0 m c 2 − E 0 m c 2 E 0 + m c 2 = E 0 2 E 0 + m c 2 (2) Equate equation (1) and (2) to calculate initial photon energy. E 0 2 E 0 + m c 2 = ( γ − 1 ) m c 2 E 0 ( γ − 1 ) m c 2 + ( γ − 1 ) m 2 c 4 = E 0 2 E 0 2 − E 0 ( γ − 1 ) m c 2 − ( γ − 1 ) m 2 c 4 = 0 The above equations are in quadratic form with a = 1 , b = − ( γ − 1 ) m c 2 and c = − ( γ − 1 ) m 2 c 4

4th Edition

ISBN: 9780134988566

Author: Wolfson, Richard

Publisher: Pearson Education,

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 34, Problem 75P

To determine

The expression for the initial photon energy.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 34, Problem 74P

Chapter 34, Problem 76P

Students have asked these similar questions

In the Compton scattering, the photon of energy 9,2 MeV is scattered from a free electron of mass 9.1×10−319.1×10−31 kg, What is the kinetic energy acquired by the electron (in MeV), if the scattering angle is 15∘15∘?

In some scattering experiments, the speed of the particles is tuned so that their de Broglie wavelength has a specific value. If a wavelength of 0.117 nm is required, how fast must a neutron be traveling to achieve this wavelength?

Based on this question, what is the wavelength (nm) and the energy (in keV) of the incident photon, and also the same measurements for the scattered photon (and the scattering angle)?

Chapter 34 Solutions

Essential University Physics

Ch. 34.2 - Prob. 34.1GI Ch. 34.3 - If you replot Fig. 34.7 for a material with a...Ch. 34.3 - Prob. 34.3GI Ch. 34.4 - Prob. 34.4GI Ch. 34.5 - Prob. 34.5GI Ch. 34.6 - Prob. 34.6GI Ch. 34 - Prob. 1FTD Ch. 34 - Prob. 2FTD Ch. 34 - Prob. 3FTD Ch. 34 - Prob. 4FTD

Ch. 34 - Prob. 5FTD Ch. 34 - Prob. 6FTD Ch. 34 - Prob. 7FTD Ch. 34 - Prob. 8FTD Ch. 34 - Prob. 9FTD Ch. 34 - Prob. 10FTD Ch. 34 - Prob. 11E Ch. 34 - The surface temperature of the star Rigel is 104K....Ch. 34 - Prob. 13E Ch. 34 - Prob. 14E Ch. 34 - Prob. 15E Ch. 34 - Prob. 16E Ch. 34 - Prob. 17E Ch. 34 - Prob. 18E Ch. 34 - Prob. 19E Ch. 34 - Prob. 20E Ch. 34 - Prob. 21E Ch. 34 - Prob. 22E Ch. 34 - Prob. 23E Ch. 34 - Prob. 24E Ch. 34 - Prob. 25E Ch. 34 - Prob. 26E Ch. 34 - Prob. 27E Ch. 34 - Prob. 28E Ch. 34 - Prob. 29E Ch. 34 - Prob. 30E Ch. 34 - Prob. 31E Ch. 34 - Prob. 32E Ch. 34 - Prob. 33E Ch. 34 - Prob. 34E Ch. 34 - Prob. 35E Ch. 34 - Prob. 36E Ch. 34 - Prob. 37E Ch. 34 - Prob. 38E Ch. 34 - Prob. 39E Ch. 34 - Prob. 40E Ch. 34 - Prob. 41E Ch. 34 - Prob. 42P Ch. 34 - Prob. 43P Ch. 34 - Prob. 44P Ch. 34 - Prob. 45P Ch. 34 - Prob. 46P Ch. 34 - Prob. 47P Ch. 34 - Prob. 48P Ch. 34 - Prob. 49P Ch. 34 - Prob. 50P Ch. 34 - Prob. 51P Ch. 34 - Prob. 52P Ch. 34 - Prob. 53P Ch. 34 - Prob. 54P Ch. 34 - Prob. 55P Ch. 34 - Prob. 56P Ch. 34 - Prob. 57P Ch. 34 - Prob. 58P Ch. 34 - Prob. 59P Ch. 34 - Prob. 60P Ch. 34 - Prob. 61P Ch. 34 - Prob. 62P Ch. 34 - Prob. 63P Ch. 34 - Prob. 64P Ch. 34 - Prob. 65P Ch. 34 - Prob. 66P Ch. 34 - Prob. 67P Ch. 34 - Prob. 68P Ch. 34 - Prob. 69P Ch. 34 - Prob. 70P Ch. 34 - Prob. 71P Ch. 34 - Prob. 72P Ch. 34 - Prob. 73P Ch. 34 - Prob. 74P Ch. 34 - Prob. 75P Ch. 34 - Prob. 76P Ch. 34 - Prob. 77P Ch. 34 - Prob. 78P Ch. 34 - Prob. 79P Ch. 34 - Prob. 80P Ch. 34 - Prob. 81P Ch. 34 - Prob. 82PP Ch. 34 - Prob. 83PP Ch. 34 - Prob. 84PP Ch. 34 - Prob. 85PP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

The expression for the initial photon energy.

Solution Summary: The author explains the expression for the Compton Effect in terms of energy for theta =90°.

Concept explainers

The expression for the initial photon energy.

Want to see the full answer?

Chapter 34 Solutions