Step 1: Understanding the Question:
The question asks to identify the polar molecule with a net permanent dipole moment among the four given covalent compounds.
Step 2: Key Formula or Approach:
A molecule is polar if its bond dipole vectors do not cancel out due to asymmetry in geometry or the presence of different peripheral atoms.
Step 3: Detailed Explanation:
BF₃ (trigonal planar), CH₄ (tetrahedral), and CCl₄ (tetrahedral) are all perfectly symmetric with identical outer atoms, so their dipoles cancel. CHCl₃ has three C–Cl bonds and one C–H bond, breaking the tetrahedral symmetry and resulting in a net downward dipole moment.
Step 4: Final Answer:
The polar molecule is CHCl₃, corresponding to option (C).