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A particle of mass 3 m at rest decay Int...

A particle of mass 3 m at rest decay Into two particles of masses m and 2m having non-zero velocities. What is the ratio of the de-Broglie wavelengths of the particle `(lambda_(1)//lambda_(2))`.

A

1:1

B

1:2

C

3:2

D

2:1

Text Solution

Verified by Experts

The correct Answer is:
A

From conservation of linear momentum both the particles will have equal and opposite momentum. The de-Broglie wavelength is given by
`lambda=h//p`     `therefore`  `lambda_(1)//lambda_(2)=1`
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