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A microscope with suitable photons is employed to locate an electron in an atom within a distance of 0.4A. What is the uncertainty involved in the measurement of its velocity?

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A mathematical representation is given below: DeltaX xx Deltap_(x) ge h/(4pi) b) If the position of the electron is measured within an accuracy of +-0.002 nm. Calculate the uncertainty in the momentum of the electron.

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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:

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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:

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MAXIMUM PUBLICATION-STRUCTURE OF ATOM-EXERCISE
  1. Write the subshellwise electronic configurations of the following elem...

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  2. Canal rays were discovered by discharge tube ex- periments conducted i...

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  3. A microscope with suitable photons is employed to locate an electron i...

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  4. The number of protons, electrons and neutrons in a species are equal t...

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  5. Based on alpha ray scattering experiment Rutherford proposed the nucle...

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  6. Rutherford atom model has strong similarity with small scale solar sys...

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  7. Representation of the orbital with quantum numbers n=3, l=1 is …….

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  8. Which of the following sets of quantum numbers are NOT possible?

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  9. Do eukaryotic cells have restriction endonucleases? Justify your answe...

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  10. Write any two observations of the photoelectric effect experiment.

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  11. The quantum numbers provide valuable information regarding electrons i...

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  12. A photon has a wavelength of 3.5Å. Calculate its mass (Plank's consta...

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  13. The uncertainty principle contributed significantly in the formulatio...

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  14. An electron is moving with a velocity of 2.5 xx 10^(6) ms^(-1). If th...

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  15. Inorder to specify size,energy, shape an spin o elecrons we need quant...

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  16. Atomic orbitals are precisely distinguished by what are known as quant...

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  17. Atomic orbitals are precisely distinguished by quantum numbers. Rep...

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  18. The number of unpaired electrons present in Ni is ………. (Atomic number ...

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  19. Bohrs model of hydrogen atom is the modification of Rutherfords model ...

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  20. Bohr was the first to explain the structure of hydrogen atom and spect...

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