A particle of mass 3m at rest decays into two particles of masses m and 2m having non-zero velocities. The ratio of the de Broglie wavelengths of the particles `((lamda_1)/(lamda_2))` is

Options

A. `(1)/(2)`
B. `(1)/(4)`
C. `2`
D. none of these

Answer

D

Explanation

From conservation of linear momentum, both the particles will have equal and opposite momentum. The de Broglie wavelength is given by
`lamda=(h)/(p)implies(lamda_1)/(lamda_2)=1`