A partical of mass M at rest decays into two Particles of masses
`m_1 and m_2` having non-zero velocities. The ratio of the de - Broglie wavelengths
of the particles `lambda_1| lambda_2` is
(a) `m_1//m_2` (b)`m_2// m_1` (c ) 1 (d)`sqrt2 // sqrt1`

Options

A. `(m_2)/(m_1)`
B. `(m_1)/(m_2)`
C. `(sqrtm_1)/(sqrtm_2)`
D. `1:1`

Answer

D

Explanation

`lamda=(h)/(mv)`
Here, `0xxM=m_1v_1+m_2v_2`
Clearly, `m_1v_1=-m_2v_2`
In magnitude,
mv `=` constant
`(lamda_1)/(lamda_2)=(1)/(1)`