A tri atomic molecule `X_(2)Y` has plane structure as shown in figure. Due to difference in electronegativity, charge acquired by each X atom is q and charge on Y atom is – 2q. The bond length between Y and X is d, and angle between the two bonds is `theta = 120^(@)` mass of one atom of X and Y are m and 8m respectively. The molecule is placed in a uniform Electric field E and is making small oscillations about an axis perpendicular to the plane of figure and passing through the centre of mass of the molecule. Find the time period of oscillation.

Answer

`T=(8pi)/(3)sqrt((md)/(qE))`