- #1
fluidistic
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Hi, I would like a correction + help for the last question.
A bullet of mass m=40 g travels at speed 1000 m/s.
1)What is its de Broglie wavelength?
2)Why can't we see the wavelike nature of the bullet by means of diffraction?
3)If the uncertainty of which we measured the velocity of the bullet is 0.01 m/s, determine the uncertainty of the position if we measure it simultaneously with the speed.
[tex]\lambda = \frac{h}{p}[/tex] and [tex]\Delta p \Delta x \geq \frac{\hbar}{2}[/tex].
1)[tex]1.66 \times 10 ^{-35 }m[/tex] using the formula I just gave.
2)Because the distance between atoms is roughly of the order of [tex]10^{-10} m[/tex] which is much greater than the wavelength of the bullet. So we could apply geometrical optics for the ray tracing of the bullet and there's absolutely no wavelike properties involved.
3)Not really sure for this one. Using Heisenberg's inequality I get [tex]\Delta x \geq \frac{\hbar}{2 \cdot 0.04 kg \cdot 0.01m}[/tex]. But with this result I do not answer the question. I think I should get something of the form [tex]\Delta x \leq ...[/tex]. Any thoughts on this one?
Homework Statement
A bullet of mass m=40 g travels at speed 1000 m/s.
1)What is its de Broglie wavelength?
2)Why can't we see the wavelike nature of the bullet by means of diffraction?
3)If the uncertainty of which we measured the velocity of the bullet is 0.01 m/s, determine the uncertainty of the position if we measure it simultaneously with the speed.
Homework Equations
[tex]\lambda = \frac{h}{p}[/tex] and [tex]\Delta p \Delta x \geq \frac{\hbar}{2}[/tex].
The Attempt at a Solution
1)[tex]1.66 \times 10 ^{-35 }m[/tex] using the formula I just gave.
2)Because the distance between atoms is roughly of the order of [tex]10^{-10} m[/tex] which is much greater than the wavelength of the bullet. So we could apply geometrical optics for the ray tracing of the bullet and there's absolutely no wavelike properties involved.
3)Not really sure for this one. Using Heisenberg's inequality I get [tex]\Delta x \geq \frac{\hbar}{2 \cdot 0.04 kg \cdot 0.01m}[/tex]. But with this result I do not answer the question. I think I should get something of the form [tex]\Delta x \leq ...[/tex]. Any thoughts on this one?