![]() ![]() Compute the uncertainty in position Δx if the mass of an electron is 9.1×10 −31 kg using Heisenberg Uncertainty Formula. ![]() The uncertainty in the momentum Δp of the electron is 10 −6 of its momentum. Solved Examples for Heisenberg Uncertainty Formulaġ) An electron in a molecule travels at a speed of 40m/s. Where h is the Planck’s constant with a value of 6.626 x 10 -34 joule seconds. Let the error in the measurement of the position and momentum be Δp and Δx respectively then : Let us look at this concept mathematically, As the results would turn out to be meaningless. So, Heisenberg’s principle cannot be applied to macroparticles. This allows technologies like Google Maps etc. Thus we can accurately know the position of a car as well as its speed simultaneously. But as the dimensions of an object increase the principles of quantum mechanics do not yield significant results. This principle also applies to the macroparticles like a tennis ball thrown, a car moving on a road etc. This led to a significant boost for the nascent field of quantum mechanics. Thus making it easier to measure the values. It basically stated that the product of the errors in the measurement of the momentum and the position is equal to a constant. It helped to overcome the deficiencies of the classical models of the atoms like the Bohr’s model, Rutherford model etc. This principle was fundamental to understanding the structure of an atom which was not understandable using the Newtonian or classical mechanics. This leads to the electrons gaining some momentum and the calculations about the momentum are altered, alternatively, because the electrons move so fast, by the time the incident photons report back their positions the electrons would have already moved from there, thereby affecting the calculations about the position. These photons impart some energy to the electrons they are incident upon. To view an electron we shine some photons(light) on it. Take for instance the scenario in which we try to view an electron. The more accurately we know one of these values, the less accurately we know the other. The basic statement of the principle is that it is impossible to measure the position (x) and the momentum (p) of a particle with absolute accuracy or precision. 2 Solved Examples for Heisenberg Uncertainty Formula Heisenberg Uncertainty Formula ![]()
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