Physics - Modern Physics Question with Solution | TestHub

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