Chapter 42, Problem 57E

(a)

To determine

To show: When the Fermi energy at absolute zero is $\frac{1}{100}m{c}^2$, the electron concentration is $\frac{N}{V}=\frac{2^{3/2}{m}^3{c}^3}{3000{\pi }^2{\hslash }^3}$ and to determine the numerical value of $N/V$.

(b)

To determine

Whether the ignoring the relativistic effects is a good approximation for electrons in metals such as copper.

(c)

To determine

The electron concentration within a typical white dwarf star using the assumption that it is made of carbon and all six of the electrons from each carbon atom are able to move freely throughout the star.

(d)

To determine

Whether ignoring the relativistic effects is a good approximation in the structure of a white dwarf star.