6. (20 points) A proton of mass m inside a nucleus is in a potential U(T) = A r where r is the distance from the centre

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6. (20 points) A proton of mass m inside a nucleus is in a potential U(T) = A r where r is the distance from the centre

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6 20 Points A Proton Of Mass M Inside A Nucleus Is In A Potential U T A R Where R Is The Distance From The Centre 1
6 20 Points A Proton Of Mass M Inside A Nucleus Is In A Potential U T A R Where R Is The Distance From The Centre 1 (60.71 KiB) Viewed 47 times
6. (20 points) A proton of mass m inside a nucleus is in a potential U(T) = A r where r is the distance from the centre of the nucleus. a) Use the Uncertainty Principle in the form p function of r only. ħ /r to express the total energy E as a b) Minimize E(r) with respect to r to find the value of r at which the energy E(r) is minimum. c) What is the minimum energy value for this potential ? (Note: the estimated E in this problem will not agree exactly with E, in Problem 5.)
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