Answer
$N (E) = 1.77 \times 10^{28} m^{-3}.eV^{-1}$
Work Step by Step
Use the equation
$N (E) = CE^{1/2}$
Where
$C = 6.81\times 10^{27} m^{-3}.eV^{-3/2}$
From the previous answer, $E= 6.81 eV$
substitute all the values into equation
$N (E) = CE^{1/2}$
$N (E) = (6.81\times 10^{27} m^{-3}.eV^{-3/2})(6.81 eV)^{1/2}$
$N (E) = 1.77 \times 10^{28} m^{-3}.eV^{-1}$
