Consider a Quanton in a Box $\lambda$ Of an Energy Eigen Function in This Case Depend on \lambda

Multiple Choice

Consider a quanton in a box. How does the wavelength $\lambda$ of an energy eigen function in this case depend on the energy $E$ corresponding to 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) $\lambda \propto 1 / E$