The correct option is A oscillation of loose electron
The metallic luster of sodium and other metals is due to the oscillation of loosely bound electrons. When light falls upon the electrons, they absorb energy and are set into oscillations, and they emit radiations which are responsible for the metallic luster.of sodium and other metals is due to the oscillation of loosely bound electrons.
So the metallic luster exhibited by sodium is explained by oscillation of loose electrons.
Hence option B is correct.