Physics

Problem

A small needle-shaped body with moment of inertia

I = 2 \times 10^{-6}\,\text{kg}\,\text{m}^{2}

and electric dipole moment

p = 10^{-5}\,\text{C}\,\text{m}

is placed in a uniform electric field

E = 200\,\text{N/C}

. The dipole is displaced slightly from its stable equilibrium and released. Calculate the time period of small oscillations. (Take

\pi^{2} = 10

)