Two uniformly charged large plane sheets S₁ and S₂ having charge densities ${\mathrm{\sigma }}_1\&{\mathrm{\sigma }}_2({\mathrm{\sigma }}_1>{\mathrm{\sigma }}_2)$ are placed at a distance (d) parallel to each other. A charge q is moved along a line of length (a < d) at 45° with normal to S₁. Then, work done by electric field is:

• A

  $\frac{\mathrm{q}\left({\mathrm{\sigma }}_1-{\mathrm{\sigma }}_2\right)\mathrm{a}}{\sqrt{2}{\in }_0}$

• B

  $\frac{\mathrm{q}\left({\mathrm{\sigma }}_2-{\mathrm{\sigma }}_1\right)\mathrm{a}}{\sqrt{2}{\in }_0}$

• C

  $\frac{\left({\mathrm{\sigma }}_1-{\mathrm{\sigma }}_2\right)\mathrm{a}}{2{\in }_0\mathrm{q}}$

• D

  $\frac{\left({\mathrm{\sigma }}_1-{\mathrm{\sigma }}_2\right)}{2\mathrm{aq}}{\in }_0$