The wavelength of A photon of energy E and moment urn p = E/c Is = h/p. where h
ID: 1693046 • Letter: T
Question
The wavelength of A photon of energy E and moment urn p = E/c Is = h/p. where h ks the Planck constant. This concept can l>c generalized to any particle of momentum p. introducing tho I)e Broglie wavelength as What is for an electron (mec2 = 0.511 MeV) with kinetic energy K = 10 MeV? What is for a proton (mpc2 = 940 McV) with kinetic energy E = 10 MeV? What Ls the wavelength of a photon of total energy E = 100 keV? At what speed will a particle's de Broglie wavelength equal its Compton wavelength?Explanation / Answer
a) rest energy of electron E_o = 0.511 MeV kinetic energy of electron k.E = 10 MeV total energy for an electron E = E_o + K.E = 0.511 + 10 = 10.511 MeV E = h c / ? wave length of eelctron ? = h c / E = ( 6.635 *10^ -34 ) ( 3*10^ 8 ) / ( 10.511*10^ -13) = 1.89 *10^ -13 m b) rest energy of proton E_o = 940 MeV kinetic energy of electron k.E = 10 MeV total energy for an electron E = E_o + K.E = 940+ 10 = 950 MeV E = h c / ? wave length of eelctron ? = h c / E = ( 6.635 *10^ -34 ) ( 3*10^ 8 ) / ( 950*10^ -13) = ...........m kinetic energy of electron k.E = 10 MeV total energy for an electron E = E_o + K.E = 940+ 10 = 950 MeV E = h c / ? wave length of eelctron ? = h c / E = ( 6.635 *10^ -34 ) ( 3*10^ 8 ) / ( 950*10^ -13) = ...........m c)E = h c / ? wave length of eelctron ? = h c / E = ( 6.635 *10^ -34 ) ( 3*10^ 8 ) / ( 100*10^ -16 J) = ...........m d) at speed of light the particle debroglie wavelength is equal to the compton wavelength wave length of eelctron ? = h c / E = ( 6.635 *10^ -34 ) ( 3*10^ 8 ) / ( 100*10^ -16 J) = ...........m d) at speed of light the particle debroglie wavelength is equal to the compton wavelengthRelated Questions
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