For the situation shown in figure, mark the correct statement(s).

As no charge is present inside the conductor, potential at any point inside the conductor is same as that of the potential of conductor. So potential of the conductor = potential at the center

$={\mathrm{V}}_{\mathrm{q}}+{\mathrm{V}}_{\text{induced charges }}$

i.e., ${\mathrm{V}}_{\text{conductor }}=\frac{\mathrm{q}}{4{\mathrm{\pi \epsilon }}_0(\mathrm{d}+\mathrm{R})}+0$

As the total induced charge at conductor's surface is equal to zero, the potential at center due to the induced charges is zero. For point B

$\begin{array}{l}{\mathrm{V}}_{\text{conductor }}={\mathrm{V}}_{\text{at point B }}={\mathrm{V}}_{\mathrm{q}}+{\mathrm{V}}_{\text{induced charges }}\\ {\mathrm{V}}_{\text{induced charges }}=\frac{\mathrm{q}}{4{\mathrm{\pi \epsilon }}_0(\mathrm{d}+\mathrm{R})}-\frac{\mathrm{q}}{4{\mathrm{\pi \epsilon }}_0\mathrm{d}}=\frac{-\mathrm{qR}}{4{\mathrm{\pi \epsilon }}_0\mathrm{d}(\mathrm{d}+\mathrm{R})}\end{array}$