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Finding Heisenberg uncertainity of a protons velocity

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What is the approximate uncertainty in the velocity of a proton known to remain within a nucleus of diameter 2.8 * 10^-15 m? What kinetic energy would the proton (mass approximately 1.6 * 10^-27 kg) have at this velocity?

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Solution Summary

Heisenbergs Uncertainty principle is used to find the uncertainity of the veloicty of the prton confined to the nucleus in a range 2.8*10^-15m. From this the kinetic energy is deduced.

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You will find the detailed calculations in the attached. I have deduced the minimum KE of the proton using Heisenbergs UP

Using Heisenberg's Uncertainty principle the product of the spread in position ...

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