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)`sqrt,_2 // sqrt_1`

Answer

A, C

Explanation

From the law of conservation of momentum,
`P_1 = P_2` (in opposite directions)
Now, de-Broglie wavelength is given by
`lambda = (h)/(P) where h= Planck constant
Since magnitdue of momentum (p) of both the particles is equal, therefore `lambda_1 = lambda_2`
or `lambda_1//lambda_2 = 1`
Therefore, the correct option is (c ).