Question about wave function and 1 dimensional well

[fredrogers3]

Homework Statement

Present is a wavefunction of a particle in a 1-dimensional well. Choose the correct potential that could result in this wave function:

Homework Equations

See below

The Attempt at a Solution

I want to make sure I am analyzing this correctly. I think the correct answer here is C. In the wavefunction, it looks as if the wavelength gets shorter as x increases. Thus, doesn't that mean that potential energy decreases, as is seen in C? When wavelength gets shorter, kinetic energy increases at the expense of potential energy.
Is that correct?

 

[TSny]

Yes, that's correct.