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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)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`P_(1) + P_(2) = P`
`(lambda)/(lambda_(x)) - (lambda)/(lambda_(y)) = (lambda)/(lambda), lambda = (lambda_(x) lambda_(y))/(lambda_(y) - lambda_(x))`
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