A nucleus of mass $$M + \Delta m$$ is at rest and decays into two daughter nuclei of equal mass $$\frac{M}{2}$$ each. Speed of light is $$c$$. The speed of daughter nuclei is

A

$$c \frac{\Delta m}{M + \Delta m}$$

B

$$c \sqrt{\frac{2 \Delta m}{M}}$$

C

$$c \sqrt{\frac{\Delta m}{M}}$$

D

$$c \sqrt{\frac{\Delta m}{M + \Delta m}}$$