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The high melting point of \[{\text{Si}}{{\text{O}}_2}\] is due to:
(A) \[{\text{sp}}\] hybridised silicon atom.
(B) tetrahedral polymer structure.
(C) its solid state.
(D) \[{\text{s}}{{\text{p}}^2}\] hybridised silicon atom.

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Answer
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Hint: Consider the bonding present in \[{\text{Si}}{{\text{O}}_2}\] . Relate the bonding in \[{\text{Si}}{{\text{O}}_2}\] to the bonding in diamond. We can call \[{\text{Si}}{{\text{O}}_2}\] as silica or quartz or Silicic oxide or silicic acid. It is an oxide of silicon.

Complete answer:
\[{\text{Si}}{{\text{O}}_2}\] is transparent to grey in nature. It can be either in crystalline form or in amorphous powdered form. It lacks a test and odor.
We will find that silica has a structure that is very similar to the structure of diamond.
Diamond is a network solid with a very high melting point. Diamond contains tetrahedral units linked together by strong covalent bonds to form a giant network solid. Each tetrahedral unit has four carbon atoms at four corners of the tetrahedron and one carbon atom at the center. Similarly, in silica, each silicon atom is present at the center of regular tetrahedron and forms four covalent bonds with four oxygen atoms. These oxygen atoms are present at four corners of a regular tetrahedron. These oxygen atoms are also connected to other silicon atoms.
Thus, each carbon-carbon bond of diamond is replaced with silicon-oxygen-silicon linkage.
This forms a strong covalent network that results in high melting point.
Thus, the high melting point of \[{\text{Si}}{{\text{O}}_2}\] is due to tetrahedral polymer structure.
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The option (C) its solid state is incorrect as all solids do not have high melting points. There are solids having low melting points.

Hence, the correct option is the option (B).

Note: The central silicon atom in silica undergoes \[{\text{s}}{{\text{p}}^3}\] hybridization as it has four single bonds with four oxygen atoms. Four single bonds and zero lone pairs of electrons for the central silicon atom results in a steric number of 4. The steric number of 4 is associated with \[{\text{s}}{{\text{p}}^3}\] hybridization.