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A particle ‘P’ is formed due to a comple...

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

A

`lambda_(x) -lambda_(y)`

B

`(lambda_(x)lambda_(y))/(|lambda_(x)-lambda_(y)|)`

C

`lambda_(x)+lambda_(y)`

D

`(lambda_(x)lambda_(y))/(lambda_(x)+lambda_(y))`

Text Solution

Verified by Experts

The correct Answer is:
B
`h/(lambda_(x))-h/(lambda_(y))=h/lambda`
`1/lambda=(lambda_(y)-lambda_(x))/(lambda_(x)lambda_(y))`
`lambda=(lambda_(x)lambda_(y))/(lambda_(y)-lambda_(x))or (lambda_(x)lambda_(y))/(|lambda_(x)-lambda_(y)|)`
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