EBK PHYSICS FOR SCIENTISTS & ENGINEERS
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 40, Problem 39P
To determine

Find the Fermi energy of the neutron star.

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An atom’s nucleus is a collection of fermions— protons and neutrons. (a) In calculating the Fermi energy in a nucleus, the protons and neutrons must be considered separately. Why? (b) Find the Fermi energy of (i) the protons and (ii) the neutrons in a uranium nucleus, which has a radius of 7.4 x 10-15 m and contains 92 protons and 146 neutrons.
[#168] Such stuff as dreams are made of. How much of you is not vacuum? Outside of the nucleus, an atom contains mostly empty space. Estimate the fraction of the volume of an atom that is occupied by the nucleus. Assume that a typical atom has a linear dimension of about 0.1 nm and that a typical nuclear dimension is about 1 fm. (Note that this problem introduces some new prefixes: n is nano or 10^{-9}10−9, p is pico or 10^{-12}10−12, f is femto or 10^{-15}10−15). Give your answer as a power of ten. For example, enter: 10^18, or 10^-3 (for 10^{18}1018 or 10^{-3}10−3).
.In sodium there are about 2.6 x 1028 conduction electrons per cubic metre which behave as a free electron gas. Fronm these facts estimate the Fermi energy of the gas and an approximate value of the molar electronic heat capacity at 300K.
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