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Why can't we overcome the uncertainty predicted by Heisenberg principle by building more precise devices to reduce the error in measurement below the `h//4pi` limit ?

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The principle is not due to limitation of the measuring devices. It is on account of the fact that microscopic particles cannot be seen even under a microscopic. Their position and velocity cannot be measured without disturbing them by hitting with photons.
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Why can't we evercome the uncertainty predicted by hesisenherg principle by building more precise devices to reduce the error in measurment below the h//4pi limit ?

The mass m of an electron is 9.1 xx 10^(31)kg and the velocity v of an electron in the first Bohr orbit of a hydrogen atom is 2.2 xx 10^(6)ms^(-1) . Assuming that the velocity is known within 10% (Deltav = 0.22 xx 10^(6)ms^(-1)) , calculate the uncertainty in the electron's position in a hydrogen atom. Strategy: According to Heisenberg's principle, the uncertainty in the postion (Deltax) of any moving particle multiplied by the uncertainity of momentum (Deltap_(x)) can never be less than h//4pi . In the given case, Delta v is known and we need to find Deltax .

When number having uncertainties or errors are used to compute other numbers. These will be uncertain. Its is especially important to underset this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of pi , the ration of circumference to diameter of a cricle. the correct value of ten digits is 3.141592654. he draws a circle and measures its diameter and circumference to its nearest milimeter obtaining the values 135 mm and 424 mm, respectively. using a calculator he finds pi =3.140840741. Why does measured value not match with calculated value ?

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. If the uncertainties in position and momentum are equal, the uncertainty in the velocity is :

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. If the uncertainty in velocity and position is same, then the uncertainty in momentum will be :

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