According to the Heisenberg uncertainty principle (Chapter 28), the uncertainties in the position x and momentum p

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According to the Heisenberg uncertainty principle (Chapter 28), the uncertainties in the position Δx and momentum Δp of a particle are related by

ΔxΔp ≥ h/4π

This relation can be used to estimate an upper bound on the kinetic energy and velocity of a proton or neutron inside a nucleus by taking Δxto be the diameter of the nucleus and Δp the neutron’s total momentum. 

(a) Use the uncertainty principle to estimate the kinetic energy of a proton inside an alpha particle. 

(b) What is the speed of the proton?

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