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

Question

A particle 'P' is formed due to a completely inelastic collision of particles 'x' and 'y' having de-Broglie wavelengths '$\lambda $_x' and '$\lambda $_y' respectively. If x and y were moving in opposite directions, then the de-Broglie wavelength of 'P' is :-

${\lambda _x} - {\lambda _y}$

${{{\lambda _x}{\lambda _y}} \over {\left| {{\lambda _x} - {\lambda _y}} \right|}}$

${\lambda _x} + {\lambda _y}$

${{{\lambda _x}{\lambda _y}} \over {{\lambda _x} + {\lambda _y}}}$

Solution

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