Answer
Electronegativity (Pauling scale) of Be is 1.57 and of H is 2.20. So each Be-H bond is polar, and bonding electron density is pulled towards the H atom. But due to its straight line structure, the center of gravity of the positive and negative charges coincide on the Be atom, making $BeH_{2}$ non polar.
Work Step by Step
Electronegativity (Pauling scale) of Be is 1.57 and of H is 2.20. So each Be-H bond is polar, and bonding electron density is pulled towards the H atom. But due to its straight line structure, the center of gravity of the positive and negative charges coincide on the Be atom, making $BeH_{2}$ non polar.