An electron of mass m_e and a proton of mass m_p are moving with the same kinetic energy at non-relativistic speeds. The de Broglie wavelengths associated with the electron and the proton are λ_e and λ_p respectively.

Which of the following correctly gives the ratio \(\frac{{{\lambda _{\rm{e}}}}}{{{\lambda _{\rm{p}}}}}\)?

A. \(\frac{{{m_{\rm{p}}}}}{{{m_{\rm{e}}}}}\)

B. \(\frac{{{m_{\rm{e}}}}}{{{m_{\rm{p}}}}}\)

C. \(\sqrt {\frac{{{m_{\rm{p}}}}}{{{m_{\rm{e}}}}}} \)

D. \(\sqrt {\frac{{{m_{\rm{e}}}}}{{{m_{\rm{p}}}}}} \)

C