PCl5 has a trigonal bipyramidal geometry. In this geometry, there are two types of P-Cl bonds:
Therefore, the statement "All five P - Cl bonds are identical in length" is incorrect. The other statements are correct: PCl5 has two different bond angles (90° and 120°), exhibits sp3d hybridization, and consists of five sigma bonds.

Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity) 