A homogeneous solid cylinder of length L (L < $\frac{\mathrm{H}}{2}$). Crosssectional area $\frac{\mathrm{A}}{5}$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $\frac{\mathrm{L}}{4}$ in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure ${\mathrm{P}}_0$. Then density D of solid is given by

• A

  $\frac{5}{4}\mathrm{d}$

• B

  $\frac{4}{5}\mathrm{d}$

• C

  Ad

• D

  $\frac{\mathrm{d}}{5}$