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Question

Physics Question on Energy

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

A

3h2m(3π2n)3/2\frac{3h^2}{m}(3π^2n)^{3/2}

B

3h210m(3π2n)2/3\frac{3h^2}{10m}(3π^2n)^{2/3}

C

h2m(3π2n)2/3\frac{h^2}{m}(3π^2n)^{2/3}

D

3h210m(3π2n)1/3\frac{3h^2}{10m}(3π^2n)^{1/3}

Answer

3h210m(3π2n)2/3\frac{3h^2}{10m}(3π^2n)^{2/3}

Explanation

Solution

The correct option is (B)