A large sheet carries uniform surface charge density s. A rod of length 2λ has a linear charge density λ on one half and - λ on the other half. The rod is hinged at mid point O and makes angle θ with the normal to the sheet. The torque experienced by the rod is :-

Options

• Option A

  $\frac{\sigma\lambda l^2}{2\epsilon_{\omicron}}\cos\theta$

• Option B

  $\frac{\sigma\lambda l}{\epsilon_{\omicron}}\cos2\theta$

• Option C

  $\frac{\sigma\lambda l^2\sin\theta}{2\epsilon_{\omicron}}$

• Option D

  $\frac{\sigma\lambda lsin^2\theta}{\epsilon_{\omicron}}$