A Quanton Is Moving in a Classically Allowed Region $x_{A}$ Twice the Kinetic Energy It Would Have at Point

Multiple Choice

A quanton is moving in a classically allowed region. If the quanton would classically have at point $x_{A}$ twice the kinetic energy it would have at point $x_{B}$ , how would the wavelengths of an energy eigen function of the quanton compare at these points?

A) $\lambda_{A}=2 \lambda_{B}$
B) $\lambda_{A}=\sqrt{2} \lambda_{B}$
C) $\lambda_{B}=\sqrt{2} \lambda_{A}$
D) $\lambda_{B}=2 \lambda_{A}$
E) $\lambda_{B}=4 \lambda_{A}$