Consider a proton with a 6.6 fm wavelength. What is the velocity of the proton in meters per second? Assume the proton is nonrelativistic. (1 femtometer = 10 − 15 m)

Question

Consider a proton with a 6.6 fm wavelength. What is the velocity of the proton in meters per second? Assume the proton is nonrelativistic. (1 femtometer   =      10          −      15       m)

Gabriella Hensley · Accepted Answer

Wavelength ,   λ  =  6.6  f  m  =  6.6  ×      10          −      15        mTo find = Velocity of proton We can calculate the velocity using :De Broglie wave equation :  λ  =      h          m      v       , where h is Planck&#039;s constant and m is proton&#039;s mass .Solving for v , we get :  v  =      h          m      λ      , where   m  =  1.67  ×      10          −      27        k  g  ,  h  =  6.626  ×      10          −      34        J  sSubstituting the given values ,we get :  v  =            6.626      ×              10                  −          34                            1.67      ×              10                  −          27                    ×      6.6      ×              10                  −          15                      v  =  0.6  ×      10    8    v  =  6  ×      10    7   m/sHence ,the velocity of the proton is   v  =  6  ×      10    7   m/s .

Consider a proton with a 6.6 fm wavelength. What is the velocity of the proton in meters per second? Assume the proton is nonrelativistic. (1 femtometer = 10^(-15) m)

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