The diagram shows a uniformly charged hemisphere of radius R. It has volume charge density $\mathrm{\rho }$. If the electric field at a point 2R distance above its centre is E, then what is the electric field at the point which is 2R below its centre?

• A

  $\left(\mathrm{\rho R}/6{\mathrm{\epsilon }}_0\right)+\mathrm{E}$

• B

  $\left(\mathrm{\rho R}/12{\mathrm{\epsilon }}_0\right)-\mathrm{E}$

• C

  $\left(-\mathrm{\rho R}/6{\mathrm{\epsilon }}_0\right)+\mathrm{E}$

• D

  $\left(\mathrm{\rho R}/12{\mathrm{\epsilon }}_0\right)+\mathrm{E}$