State True or False
The $C{H_2}C{l_2}$ molecule may be polar or nonpolar depending on its geometry
A. True
B. False

Hint: We must know that the polarity of the molecule depends on the dipole moment. The dipole moment depends on the direction of the dipole. The one molecule is said to be polar, compulsory it having net dipole moment. The dipole moments in the bonding atoms sometimes cancel each other. Because the direction of the dipole will be opposite.

Complete step by step answer:
We must remember that the molecule $C{H_2}C{l_2}$ is called methylene dichloride. It is popularly called dichloromethane. Simply called DCM. It is one of the highly polar solvent in organic chemistry.
As we know that in $C{H_2}C{l_2}$ having four dipole bonds. The two dipole bonds are between $C - H$ . But these two dipole moments are present in opposite cancel each other. Other two dipole bonds are between $C - Cl$ . These two dipole bonds are given a net dipole moment of the molecule. These two $C - Cl$ dipole bonds do not cancel each other because they are present in the same direction in the molecule.
The above discussion is easily understand by its molecule diagram is given below,


This is the reason for the polarity of $C{H_2}C{l_2}$ becoming a polar molecule. Polarity of the $C{H_2}C{l_2}$ is not dependent on the geometry. The geometry of this molecule is tetrahedral. Its polarity does not depend on the tetrahedral.
Hence, the $C{H_2}C{l_2}$ molecule may be polar or nonpolar depending on its geometry is false.

Note: We must remember that if the polarity of the molecule is dependent on the geometry means all the tetrahedral molecules become polar. But not like that nature of the polarity of the molecule is dependent only on the dipole moment. For example, methane is also geometrical. But this is highly non polar. In methane all the dipole bonds cancel each other, hence it becomes a non-polar molecule.