Physics - SHM Question with Solution | TestHub

A simple pendulum of length $\ell$ and bob mass m is hanging in front of a large nonconducting sheet of surface charge density $\mathbf{\sigma }$. If suddenly a charge +q is given to the bob in the position shown in figure then the maximum angle through which the string is deflected from vertical is $2{\tan }^{-1}\left(\frac{\sigma \mathrm{q}}{\mathrm{xmg}{\epsilon }_0}\right)$. Find the value of x.