Determine the ratio of the electric force to the gravitational force between an electron and a proton when separated by a distance r

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Catherine Kirby · Accepted Answer

q    e  =Charge of electron=  −  1.6  ×      10          −      19        C      q    p  = charge of proton =  1.6  ×      10          −      19        C      m    e  =Mass of electron=  9.11  ×      10          −      31           k  g      m    p  =Mass of proton=  1.67  ×      10          −      27           k  gk=Coulomb constant=  9  ×      10    9       N      m    2        /        C    2  G=Gravitational constant=  6.674  ×      10          −      11           N      m    2        /    k      g    2  Electrical force is given by      F    e    =            k              q        e                    q        p                    r      2      Gravitational force is given by      F    g    =            G              m        e                    m        p                    r      2      Ratio of electrical to gravitational force            F      e              F      g        =                    k                  q          e                          q          p                            r        2                            G                  m          e                          m          p                            r        2                =            k              q        e                    q        p                    G              m        e                    m        p                =            9      ×              10        9            ×      (      −      1.6      ×              10                  −          19                    )      ×      1.6      ×              10                  −          19                            6.674      ×              10                  −          11                    ×      9.11      ×              10                  −          31                    ×      1.67      ×              10                  −          27                        =  −  2.27  ×      10          39      The required ratio is   −  2.27  ×      10          39

Determine the ratio of the electric force to the gravitational force between an electron and a proton when separated by a distance

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