The recoil of the nucleus refers to its movement in the opposite direction when it emits a particle, such as a beta particle, due to the conservation of momentum. When a nucleus decays, the emitted particle moves in one direction, causing the nucleus to recoil in the opposite direction, similar to how a gun recoils when a bullet is fired. This phenomenon illustrates the fundamental principle of conservation of momentum in nuclear reactions. Understanding this concept is essential in nuclear physics and particle interactions. The discussion highlights the relationship between particle emission and nuclear recoil.