\(BeCl_2\):
The central atom has no lone pair and there are two bond pairs. i.e., \(BeCl_2\) is of the type \(AB_2\). Hence, it has a linear shape.
\(BCl_3\):
The central atom has no lone pair and there are three bond pairs. Hence, it is of the type \(AB_3\). Hence, it is trigonal planar.
\(SiCl_4\):
The central atom has no lone pair and there are four bond pairs. Hence, the shape of \(SiCl_4\) is tetrahedral being the \(AB_4\) type molecule.
\(AsF_5\):
The central atom has no lone pair and there are five bond pairs. Hence, \(AsF_5\) is of the type \(AB_5\). Therefore, the shape istrigonal bipyramidal.
\(H_2S\):
The central atom has one lone pair and there are two bond pairs. Hence, \(H_2S\) is of the type \(AB_2E\). The shape is Bent.
\(PH_3\):
The central atom has one lone pair and there are three bond pairs. Hence, \(PH_3\) is of the \(AB_3E\) type. Therefore, the shape is trigonal pyramidal.
The correct increasing order for bond angles among \( \text{BF}_3, \, \text{PF}_3, \, \text{and} \, \text{CF}_3 \) is:
The Valence Shell Electron Pair Repulsion Theory abbreviated as VSEPR theory is based on the premise that there is a repulsion between the pairs of valence electrons in all atoms, and the atoms will always tend to arrange themselves in a manner in which this electron pair repulsion is minimalized.