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A praticle of mass M at rest decays into...

A praticle of mass M at rest decays into two particle of masses `m_1` and `m_2`, having non-zero velocities. The ratio of the de Broglie wavelength of the particles `(lamda_1)/(lamda_2)` is

A

`m_(1)//m_(2)`

B

`m_(2)//m_(1)`

C

`1.0`

D

`sqrt(m_(2))//sqrt(m_(1))`

Text Solution

Verified by Experts

The correct Answer is:
C
Since , `m_(1)vec(v)_(1)+m_(2)(-vec(v)_(2))=0`
`rArr m_(1)vec(v)_(1)=m_(2)vec(v)_(2)`
`lambda_(1)=h/(m_(1)v_(1)),lambda_(2)=h/(m_(2)v_(2))`
`(lambda_(1))/(lambda_(2))=1 `
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