A dipole consisting of +10nC and –10nC separated by a distance of 2cm oscillates in an electric filed of strength 60,000${\mathrm{Vm}}^{-1}$ . The frequency of its oscillation is (M.I. about the axis of oscillations is $\left.3\times {10}^{-10} {\mathrm{kgm}}^2\right)$

Given data: A dipole with opposite charges separated by a distance 2cm

Concept used: Electric Dipole

Detailed solution:

We know the formula for time period in terms of P.E and moment of inertia is

$T=2\pi \sqrt{\frac{I}{P.E}}$

$$\begin{gathered} f=\frac{1}{2\pi }\sqrt{\frac{P.E}{I}} \\ =\frac{1}{2\pi }\sqrt{\frac{q\times 2d\times E}{I}} \\ =\frac{1}{2\times 3.14}\sqrt{\frac{2\times {10}^{-10}\times 6\times {10}^4}{3\times {10}^{-10}}} \end{gathered}$$

$\Rightarrow f=51.84Hz$