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 5.0×1015 meters.

Consider a particle inside the nucleus. The uncertainty x in its position is equal to the diameter of the nucleus. What is the uncertainty p of its momentum? To find this, use xp.

p = ??? kg*m/s

Explanation / Answer

planck's constant, h= 6.63*10^(-34)Js

=1.05457*10^(-34)Js

use, xp

p=/x

p=2.10×1020 kg*m/s

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