Two non-mixing liquids of densities $\rho$ and $n\rho$ $(n > 1)$ are put in a container. The height of each liquid is $h$. $A$ solid cylinder of length $L$ and density $d$ is placed in this container. The cylinder floats with its axis vertical and a length $pL$ $(p < 1)$ submerged in the denser liquid. The density $d$ is equal to:

• A
  $[2+(n+1)p]\rho$
• B
  $[2+(n-1)p]\rho$
• C
  $[1+(n-1)p]\rho$
• D
  $[1+(n+1)p]\rho$