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If we calculate a velocity for an electron, proton or neutron that is higher than the speed of light, should we assume we did something wrong, or is there possibility for this to be an answer and we have to say that this is "unreasonable?"
I agree, since nothing can have a velocity higher than the speed of light I would assume that something in the calculation would be incorrect. Maybe retry the problem or message if you still have questions about a specific example.
As far as we know, nothing can be faster than light, so if the speed of an electron, proton, or a neutron is faster than speed of light, there must have been an error in the calculations. The reason for nothing being greater than the speed of light is due to the absolute space-time in physics which states that objects move not in space but absolute space-time which leads us to the conclusion that passing the speed of light is impossible since you are moving in something where your movement through space and time will add up to the speed of light.
405289292 wrote:If we calculate a velocity for an electron, proton or neutron that is higher than the speed of light, should we assume we did something wrong, or is there possibility for this to be an answer and we have to say that this is "unreasonable?"
I think we did an example problem like this, I don't know if an "unreasonable" answer will ever come up on an exam, and if that's the answer you get, there's no harm in double checking. I haven't come across any like that in the homework.
You should double check when you have an unreasonable velocity. But like we did in the example problem, it could indicate that the atom's size was too small because the entire point of that problem was to show that there was a limit to how small an atom could be. Usually, atoms have a diameter of 10^-10.
If this is based on the Heisenberg Indeterminacy Equation then if the velocity is larger than the speed of light you must assume you have been given an incorrect atomic model which goes to prove that the mass of an atom has to be a certain size or larger in order to properly abide by the laws of the universe aka nothing can be faster than the speed of light. Since wavelength=h/mv, the mass has to be large enough for the wavelength to not be larger than the speed of light.
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