Question

Which of the following statements about density of states are correct?
A. \(n(E)\propto E^{-1/2\) in 1D,
B. \(n(E)\propto E^{1/2}\) in 3D,
C. \(n(E)\) is constant in 2D,
D. \(n(E)\propto E^{-1}\) in 2D, E. \(n(E)\propto E\) in 3
D.}

• A. A, D and B Only
• B. B, C and E Only
• C. A, C and B Only
• D. A, B and E Only

Hint:

DOS varies as \(E^{-1/2}\) in 1D, is constant in 2D, and varies as \(E^{1/2}\) in 3D.

Answer 1

The Correct Option is C