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Question:

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?

λx+λy

λxλyλx+λy

λxλy|λx−λy|

λx−λy

Solution:

Correct option is C. λxλy|λx−λy|By momentum conservation Px−Py=Pp
hλx−hλy=hλp
λp=λxλy|λy−λx|.