The minimum value for the product of uncertainties in position and momentum of a moving microscopic particle is equal to…………

If the uncertainly in position and momentum of a particle like electrons are equal then uncertainty in velocity is ……….

The minimum value of the function m ax (x, x^(2)) is equal to

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 is also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation is Delta x Delta (mv) ge (h)/(4 pi) The uncertainty in the position or in the momentum of a macroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electron 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 is also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation is Delta x Delta (mv) ge (h)/(4 pi) The uncertainty in the position or in the momentum of a macroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electron 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:

Statement 1 : The position of an electron can be determined exactly with the help of an electron microscope. Statement 2 : The product of uncertainty in the measurement of its momentum and the uncertainty in the measurement of the position cannot be less than a finite limit.

Calculate the uncertainty in momentum of an electron if uncertainty in its. position is '1A ^circ (10^(-10)m)'