Step 1: Understand polar molecular solids.
Polar molecular solids are composed of polar molecules held together by dipole–dipole interactions. These molecules have a permanent dipole moment.
Step 2: Analyse methane (\(\mathrm{CH_4}\)).
Methane is a symmetrical tetrahedral molecule.
Although the C–H bonds are slightly polar, their dipole moments cancel out due to symmetry.
Hence, methane is a non-polar molecule.
Step 3: Analyse other options. (B) \(\mathrm{SO_2}\): Bent molecule with a net dipole moment → polar. (C) \(\mathrm{HCl}\): Polar covalent molecule → polar. (D) \(\mathrm{H_2S}\): Bent shape with net dipole moment → polar.
Step 4: Conclusion.
Methane does not form a polar molecular solid.