Chapter 26. Compton scattering equation (26-8)

Question

9sJ6zdlQLzzNkesXSVwBBhs1O2XCA5/QGy7J6/ioEPdntxwaQcisnftEH2K8SVUaytjQzLG6gMsQ33NU
{"title":"Wavelength change in Compton scattering","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Incorrect","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Incorrect","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Incorrect","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

lO22s9WXxOIWyt/tFtNeLU0G7JipMTCws9/X1bgYaV6zxU8Qk7akWQ==
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Correct!","type":"correct","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Incorrect","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Incorrect","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

Ph7ie8TKnXf11HsEeBSxbnR9OYWolQRkXlmZUgJsAe4eLU9NDV2GJDBFQcI=
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Correct!","type":"correct","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Incorrect","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Incorrect","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

CTc43SGus9Fhs48wootM9pjbRUVjShhVoGI2z7nFqdeHC/pJZ0xivpSEca+eAhFY
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Correct!","type":"correct","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Incorrect","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

0Vk94ObsAjG65JPV76Khrirq+a+U0NGzmvT3oD6gtS1c/V64
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Wrong","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Correct!","type":"correct","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

AUpnX+57al3TzUd26fuMMKU7nHhzXgcs0HgvYlp4+JPs+cY2LHc8C+a+mmSsIbbJhuhcm5AwRgk=
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Wrong","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Wrong","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Correct!","type":"correct","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Incorrect","type":"incorrect","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Question

vAhs+J6VZRWPOVkrYX+/J/IwCGM5WGm7kbRDWlsk8olamcll240KPeClmtKBzrDplN3iPLSIJXw=
{"title":"Wavelength change in Compton scattering","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"16,18,31,43\"}]"} {"title":"Planck’s constant","description":"Wrong","type":"incorrect","color":"#ffff00","code":"[{\"shape\":\"rect\",\"coords\":\"157,1,173,23\"}]"} {"title":"Photon scattering angle","description":"Incorrect","type":"incorrect","color":"#00ff00","code":"[{\"shape\":\"rect\",\"coords\":\"278,16,296,42\"}]"} {"title":"Speed of light in a vacuum","description":"Wrong","type":"incorrect","color":"#ff0000","code":"[{\"shape\":\"rect\",\"coords\":\"172,41,188,56\"}]"} {"title":"Electron mass","description":"Wrong","type":"incorrect","color":"#800080","code":"[{\"shape\":\"rect\",\"coords\":\"145,37,167,58\"}]"} {"title":"Photon wavelength before scattering","description":"Incorrect","type":"incorrect","color":"#0000ff","code":"[{\"shape\":\"rect\",\"coords\":\"99,19,118,43\"}]"} {"title":"Photon wavelength after scattering","description":"Correct!","type":"correct","color":"#000000","code":"[{\"shape\":\"rect\",\"coords\":\"52,18,72,42\"}]"}

Review

Because a photon has less energy after a collision than it had initially, \(E_{\mathrm{f}}\) is less than \(E_{\mathrm{i}}\), and the final wavelength \(\lambda_{\mathrm{f}}\) is greater than the initial wavelength \(\lambda_{\mathrm{i}}\). In other words, as the nergy of a photon decreases, its wavelength increases.