Problem relating to the Heisenberg's Principle

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In summary, the question asks for the velocity of an electron placed in a box with a size of approximately 1*10^-10m. The solution involves using Heisenberg's equation, with the values for x, m, and h provided. The answer is 7.29*10^6, which differs from the answer given in the book. There is also a correction made regarding the uncertainty principle equation.
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uzair_ha91
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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
 
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  • #2
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
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?
 

FAQ: Problem relating to the Heisenberg's Principle

1. What is Heisenberg's Principle?

Heisenberg's Principle, also known as the Uncertainty Principle, is a fundamental concept in quantum mechanics that states that it is impossible to know the exact position and momentum of a particle simultaneously.

2. How does Heisenberg's Principle relate to the measurement of particles?

Heisenberg's Principle states that the act of measuring a particle's position will inevitably affect its momentum, and vice versa. This means that it is impossible to make a precise measurement of both properties at the same time.

3. Why is Heisenberg's Principle important in quantum mechanics?

Heisenberg's Principle is important because it sets a limit on the precision with which we can know certain properties of particles. This has implications for our understanding of the behavior of matter and the laws of physics at the subatomic level.

4. How can Heisenberg's Principle be demonstrated?

Heisenberg's Principle can be demonstrated through various experiments, such as the double-slit experiment, where the position and momentum of an electron cannot be simultaneously determined. Other experiments involve using particle accelerators and measuring the paths of subatomic particles.

5. Are there any exceptions to Heisenberg's Principle?

Some scientists have proposed that there may be exceptions to Heisenberg's Principle, such as the quantum eraser experiment, where it appears that the uncertainty can be negated under certain circumstances. However, this is still a topic of debate and has not been confirmed.

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