Give the statement fo Heisenberg.s uncertainty principle and express it mathematically.

'Heisenberg's uncertainty principle can be expressed as

Dual nature of matter was proposed by Louis de Broglie. State Heisenberg's uncertainty principle and give its mathematical expression.

Give the mathematical representation of Heisenberg's uncertainty principle and its one important significance.

Bohr model of hydrogen atom contradicts dual behaviour of matter and Heisenberg’s uncertainty principle. Justiy.

Bohr model of hydrogen atom contradicts dual behaviour of matter and Heisenberg's uncertainty principle. Justify.

Represent Lenz’s law mathematically?

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:

Observe the following pattern of dots i) Find the number of dots in the n^(th) pattern. ii) Find the sum of number of dots upto n^(th) pattern and the mathematical statement using these facts. iii)Prove the statement obtained in question (ii) using principle of mathematical induction.