Which of the following alkaline earth metal indirectly form a polymeric hydride with three centre bond?

The correct option is D $Be$
Option $\left(B\right)$ is correct.

$Be$ indirectly form a polymeric hydride with three centre bond.

$Be{H}_2$ is covalent and has polymeric structure involving multicentre bonds (three-centre two-electron bond).Each beryllium atom is bonded to two hydrogen atoms and each hydrogen atom to two beryllium atoms. Now, beryllium has only two valence electrons and hydrogen only one, it is apparent that there are not sufficient electrons to form so many electron pair bonds. The monomeric $Be{H}_2$, if formed with normal bonds, would have only four electrons in the valence shell of the beryllium atom and would be electron deficient and unstable. It polymerizes to remedy the electron deficiency. The bonds formed cannot be explained by the classical theories of bonding. They are “banana-shaped” molecular orbitals holding three atoms $Be--H--Be$ together and are called 3 centred – 2 electrons ($3c–2e^{-}$) bonds.