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Problem relating to the Heisenberg's Principle

  • Thread starter uzair_ha91
  • Start date
  • #1
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Homework Statement


An electron is placed in a box about the size of an atom that is about 1*10^-10m. What is the velocity of the electron?


Homework Equations


Heisenberg's equation
xp=h/2pi
xmv=h/2pi
v=h/2pi*x*m
where x=1*10^-10m
m=9.1*10^-31kg
h=planck's cosntant


The Attempt at a Solution



Answer is 7.29*10^6
 

Answers and Replies

  • #2
1,953
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Was this REALLY the question? The uncertainty principle states that:

[tex] \Delta x \Delta p \geq \frac {h} { 4 \pi} [/tex]

NOT

[tex] x p = \frac {h} { 4 \pi} [/tex]


(I don't know how to do the reduced planck's constant in Latex)
 
  • #3
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So it's 4pi not 2pi? Actually the answer I'm getting is different from that which is given at the end of my physics book.
And while solving the problem, doesn't it become [tex]\Delta[/tex]x[tex]\Delta[/tex]p=h/4pi?
 

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