In a hydrogen atom, an electron is electrically bound to a proton.  The binding energy is the energy required to pull the electron away from the proton.  The binding energy depends on k = the Coulomb constant = 9 x 109 kg m3 s-2 C-2, h = Planck's constant = 6.6 x 10-34 kg m2 s-1, m = the mass of the electron = 9.1 x 10-31 kg, and  e = the magnitude of the electron's charge = 1.6 x 10-19 C. There is only one way to combine k, h, m, and e in such a way that it has units of energy.  That is,  ?=???ℎ?????E=Akahbmced , where A is a dimensionless constant, and a, b, c, and d are various powers.  Assuming A = 1, estimate E, in units of 10-19 J.

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In a hydrogen atom, an electron is electrically bound to a proton.  The binding energy is the energy required to pull the electron away from the proton.  The binding energy depends on

k = the Coulomb constant = 9 x 109 kg m3 s-2 C-2,

h = Planck's constant = 6.6 x 10-34 kg m2 s-1,

m = the mass of the electron = 9.1 x 10-31 kg, and 

e = the magnitude of the electron's charge = 1.6 x 10-19 C.

There is only one way to combine k, h, m, and e in such a way that it has units of energy.  That is, 

?=???ℎ?????E=Akahbmced ,

where A is a dimensionless constant, and a, b, c, and d are various powers.  Assuming A = 1, estimate E, in units of 10-19 J.

 
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