Make a rough estimate of the minimum energy of a proton

Chapter , Problem 12P

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QUESTION:

Problem 12P

Make a rough estimate of the minimum energy of a proton confined inside a box of width 10−15m (the size of an atomic nucleus).

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QUESTION:

Problem 12P

Make a rough estimate of the minimum energy of a proton confined inside a box of width 10−15m (the size of an atomic nucleus).

ANSWER:

Solution

Step 1 of 4

In the given problem, the proton is confined inside a box of width L=. Here we need to calculate the minimum energy of the proton.

This is similar to the situation when the microparticle like proton with mass is trapped inside a 1-dimensional box of length L. In such a box, the particle does not possess potential energy, and is trapped inside the box by the walls of the infinite potential energy as shown in the figure below,

1.png

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