an electric dipole is situated in an electric field of uniform intensity E whose dipole moment is p and moment of inertia is I . if the dipole is displaced slightly from the equilibrium position , then the angular frequency of its oscillation is
Hi
As per your question When the electrical dipole is placed during a field in equilibrium position is
displaced by small angle θ, then it executes S.H.M thanks to restoring couple
C=−p∈sinθ
θ≈ small
C=−p∈θ C=Iα=I dt 2 d 2 θ
I dt 2d r θ =−p∈θdt 2d 2 θ
=− Ip∈ θdt 2d 2 θ
=−w 2 θ
standard equation of SHM
w= Ip∈
V= 2πw = 2π1p∈ I
Hope helpful.