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According to Heisenberg's uncertainty pr...

According to Heisenberg's uncertainty principle, on increasing the wavelength of light used to locate a microscopic particle, uncertainly in measurement of position of particle :

A

Increases

B

decreases

C

Remains unchanged

D

Cannot be determined

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State Heisenberg's uncertainty principle. If the uncertainties in the measurement of position and momentum of an electron are equal calculate the uncertainty in measuring the velocity.

It is impossible to determine simultaneously the position of velocity of small microscopic particle such as electron , proton or neutron with accuracy .This is called Heisenberg's uncertainty principle. Mathematically, it is represented as Delta x. Delta p ge (h)/(4pi) , Delta x is uncertainty in position Delta p is uncertainty in momentum.

Using Heisenberg's uncertainty principle, calculate the uncertainty in velocity of an electron if uncertainty in its position is 10^(-11)m Given, h =6.6 xx 10^(-14)kg m^2s^(-1), m=9.1 xx 10^(-31)kg

The effect of uncertainty principle is significant only for motion of microscopic particles and is negligible for the macroscopic particles. Justify the statement with the help of a suitable example.

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 :

If uncertainty principle is applied to an object of mass 1 miligram, the product of uncertainly in velocity and position will be:

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. What would be the minimum uncetaintty in de-Broglie wavelength of a moving electron accelerated by potential difference of 6 volt and whose uncetainty in position is (7)/(22) nm?

Statement -1:It is possible to measure simultaneously both the position and momentum of a moving microscopic particle with absolute accuracy . Statement-2:In case of moving microscropic particle, if uncertainly in position is reduced , then uncertainly in velocity is very high and vice versa.

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