Consider an Electron in a Hydrogen Atom $\lambda$ Of an Energy Eigen Function (As Measured Around the Circular

Multiple Choice

Consider an electron in a hydrogen atom. How does the wavelength $\lambda$ of an energy eigen function (as measured around the circular band) depend on the energy $E$ associated with that eigen function?

A) $\lambda \propto|E|$
B) $\lambda \propto \sqrt{|E|}$
C) $\lambda$ is independent of $E$ .
D) $\lambda \propto 1 / \sqrt{|E|}$
E) $\lambda \propto 1 /|E|$