A particle ‘P’ is formed due to a completely inelastic collision of particles ‘x’ and ‘y’ having de-Broglie wavelengths ‘λx’ and ‘λy’ respectively. If x and y were moving in opposite directions, then the de-Broglie wavelength of ‘P’ is:

• A. \({\rm{}}\frac{{{\lambda _x}{\lambda _y}}}{{{\lambda _x} + {\lambda _y}}}\)
• B. \(\frac{{{\lambda _x}{\lambda _y}}}{{\left| {{\lambda _x} - {\lambda _y}} \right|}}\)
• C. λx - λy
• D. λx + λy