## de broglie waves

for the following question:
a hydorgen atom is 5.3*10^(-11) m in radius. use the uncertainty principle to estimate the minimum energy an electron acan have in this atom.

my problem:
to calculate the kinetic energy, do you use Ek=(p^2)/2m or Ek=pc????
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 The uncertainty principal is: /\x/\p = h/2*pi. /\x is the radius you have stated. /\p is the uncertainty of momentum. p = mv, mass is known, so /\p = m/\v. So: /\v = h/(2 * pi * m * /\x) where m is the mass of the electron. Find /\v, then you can find the minimum energy: energy = 0.5 * m * /\v^2.
 is that the same as just calculating the kinetic energy=p^2/2m?

## de broglie waves

Yep, that's another way.
 ok~ that's cool!

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