(A) The element is $Sodium$ $(Na)$.
$Na^{+}$ ions participate in the transmission of nerve signals and the transport of sugars and amino acids into cells.
The formation of its peroxide is as follows:
$2Na + O_{2} \xrightarrow{\Delta} Na_{2}O_{2}$
Reason for flame colour:
The ionisation enthalpy of $Sodium$ is low. When $Sodium$ metal or its salt is heated in a Bunsen flame,the flame energy causes the excitation of the outermost electron to a higher energy level. When this electron reverts to its initial ground state,it releases the absorbed energy as visible light. The emitted radiation corresponds to the yellow region of the spectrum,which is why $Sodium$ imparts a yellow colour to the flame.