Question:

Identify the correct set of molecules with zero dipole moment.

Show Hint

Symmetrical molecules generally have zero dipole moment because individual bond dipoles cancel each other. Examples: \[ \mathrm{CO_2,\ CH_4,\ BF_3,\ CCl_4} \] Molecules containing lone pairs often become asymmetrical and usually possess non-zero dipole moment.
Updated On: Jun 3, 2026
  • \(\mathrm{CO_2,\ NH_3,\ H_2O}\)
  • \(\mathrm{NH_3,\ NF_3,\ BF_3}\)
  • \(\mathrm{PF_3,\ NH_3,\ CH_4}\)
  • \(\mathrm{CH_4,\ BF_3,\ CO_2}\)
Show Solution
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The Correct Option is D

Solution and Explanation

Concept: Dipole moment measures the separation of positive and negative charges in a molecule. A molecule has:
Zero dipole moment when the bond dipoles cancel each other due to symmetrical geometry.
Non-zero dipole moment when the molecular shape is unsymmetrical and dipoles do not cancel. Thus, molecular geometry plays a very important role in determining dipole moment.

Step 1:
Examine the molecules in option (A). \[ \mathrm{CO_2} \] has linear geometry: \[ O=C=O \] The two bond dipoles are equal and opposite, so: \[ \mu=0 \] \[ \mathrm{NH_3} \] has trigonal pyramidal geometry due to one lone pair on nitrogen. Dipoles do not cancel completely. Hence: \[ \mu \neq 0 \] \[ \mathrm{H_2O} \] has bent geometry because of two lone pairs on oxygen. Therefore: \[ \mu \neq 0 \] Thus, option (A) is incorrect.

Step 2:
Examine the molecules in option (B). \[ \mathrm{NH_3} \] is polar: \[ \mu \neq 0 \] \[ \mathrm{NF_3} \] also has trigonal pyramidal geometry and possesses a small but non-zero dipole moment. \[ \mu \neq 0 \] \[ \mathrm{BF_3} \] has trigonal planar symmetrical structure. Bond dipoles cancel completely. \[ \mu=0 \] Since all molecules do not have zero dipole moment, option (B) is incorrect.

Step 3:
Examine the molecules in option (C). \[ \mathrm{PF_3} \] has trigonal pyramidal geometry and is polar. \[ \mu \neq 0 \] \[ \mathrm{NH_3} \] is also polar. \[ \mu \neq 0 \] \[ \mathrm{CH_4} \] has tetrahedral symmetrical geometry. Dipoles cancel completely. \[ \mu=0 \] Hence, option (C) is incorrect.

Step 4:
Examine the molecules in option (D). \[ \mathrm{CH_4} \] has tetrahedral symmetrical geometry. \[ \mu=0 \] \[ \mathrm{BF_3} \] has trigonal planar symmetrical geometry. \[ \mu=0 \] \[ \mathrm{CO_2} \] has linear symmetrical geometry. \[ \mu=0 \] Thus, all molecules in option (D) have zero dipole moment. Therefore: \[ \boxed{\text{Option (D) is correct}} \]
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