A white dwarf star has volume V and contains N electrons so that the density of electron is \(n=\frac{N}{V}\). Taking temperature of the star to be 0 K, what will be the expression for average energy per electron in the star?

1
\(\frac{3 \hbar^2}{m}\left(3 \pi^2 n\right)^{3 / 2}\)
2
\(\frac{3 \hbar^2}{10 m}\left(3 \pi^2 n\right)^{2 / 3}\)
3
\(\frac{\hbar^2}{m}\left(3 \pi^2 n\right)^{2 / 3}\)
4
\(\frac{3 \hbar^2}{10 m}\left(3 \pi^2 n\right)^{1 / 3}\)

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