Editing Uncertainty principle

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{{Equation box|equation=<math>\sigma_{x}\sigma_{p} \geq \frac{\hbar}{2}</math>}}
 
{{Equation box|equation=<math>\sigma_{x}\sigma_{p} \geq \frac{\hbar}{2}</math>}}
 
This explains that the products of standard deviations of the position <math>\sigma_{x}</math> and momentum <math>\sigma_{p}</math> cannot be small at the same time. If the standard deviation of position is small, then it is apparent that the position of the particle is known with high precision. And by the fundamental nature of the particles, the standard deviation of the momentum should now be higher enough that the product of the two should be greater than <math>\frac{\hbar}{2}</math>, where <math>\hbar</math> is the reduced [[Planck's constant]].
 
This explains that the products of standard deviations of the position <math>\sigma_{x}</math> and momentum <math>\sigma_{p}</math> cannot be small at the same time. If the standard deviation of position is small, then it is apparent that the position of the particle is known with high precision. And by the fundamental nature of the particles, the standard deviation of the momentum should now be higher enough that the product of the two should be greater than <math>\frac{\hbar}{2}</math>, where <math>\hbar</math> is the reduced [[Planck's constant]].
== Frequently Asked Questions ==
 
=== What is the physical significance of Planck's constant? ===
 
Planck's constant relates the energy of the quantum to its [[frequency]]. This constant was introduced by Planck, on observing the [[blackbody radiation]]. As the light emitted in discrete packets of energy called quanta has a magnitude that is proportional to the frequency of the radiation, a proportionality constant '''h''' was derived by Planck.
 
 
<math>E = hf</math>
 
 
Where <math>E</math> is the radiation energy and <math>f</math> is the frequency of the emitted radiation.
 
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