The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light. (This could be small compared with its velocity.) What is the smallest possible uncertainty in its position?



Answer :

The smallest possible uncertainty in the position of the proton is 4.211×1/10¹⁴m.

The velocity of a proton in an accelerator is known to an accuracy of 0.250% of the speed of light.

∆x∆v = h/4πm

uncertainty in velocity, ∆v = 0.25×3×10⁸/100 = 4.211×1/10¹⁴m

What is a proton?

  • The number of protons in the nexus of an element is called the infinitesimal number. In the titles of any particular element, the number of protons in the capitals is always the same.
  • A snippet of simple hydrogen has a nexus conforming of a single proton. The capitals of all other rudiments nearly always contain neutrons in addition to protons.
  • Protons need not be confined to the capitals of titles. When protons are set up outside infinitesimal capitals, they acquire fascinating, crazy and potentially dangerous parcels, analogous to those of neutrons under analogous circumstances.

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