Rutherford\'s scattering experiments gave the first indications that an atom con

Question

Rutherford's scattering experiments gave the first indications that an atom consists of a small, dense, positively charged nucleus surrounded by negatively charged electrons. His experiments also allowed for a rough determination of the size of the nucleus. In this problem, you will use the uncertainty principle to get a rough idea of the kinetic energy of a particle inside the nucleus. Consider a nucleus with a diameter of roughly meters. Consider a particle inside the nucleus. The uncertainty in its position is equal to the diameter of the nucleus. What is the uncertainty of its momentum? To find this, use . Delta(X) * Delta(P) >= hbar

Explanation / Answer

Consider a nucleus with a diameter of roughly 5*10e-15m meters. Part A Consider a particle inside the nucleus. The uncertainty in its position is equal to the diameter of the nucleus. What is the uncertainty of its momentum? To find this, use . Delta(X) * Delta(P) >= hbar Plug in the given ?x and Planck's constant and solve for ?p . ANSWER: = 2.10×10-20

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