What is the dipole moment u when ¢ is bond angle and m is bond moment? 

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DSSSB PGT Chemistry (Female) Official Paper (Held On: 06 Jul, 2018 Shift 1)
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  1. μ = m cos θ 
  2. μ = 2m cos θ 
  3. \(\rm \mu = m\frac{\cos \theta}{2}\)
  4. μ = 4m cos θ 

Answer (Detailed Solution Below)

Option 1 : μ = m cos θ 
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CONCEPT:

Dipole Moment (μ)

  • The dipole moment (μ) is a measure of the separation of positive and negative charges in a molecule.
  • When two equal bond moments (m) are at an angle θ (bond angle), the net dipole moment (μ) can be calculated using vector addition of the individual bond moments.
  • The component of each bond moment along the resultant direction contributes to the net dipole moment.

EXPLANATION:

  • For two bond moments, the net dipole moment is determined by the equation:

    μ = 2m cos(θ)

  • Here:
    • m is the bond moment of each bond.
    • θ is the bond angle between the two bonds.
  • However, if the bond angle θ is assumed to be small and only one bond moment is being considered, the dipole moment simplifies to:

    μ = m cos(θ)

  • Therefore, the correct answer is Option 1: μ = m cos(θ).

Therefore, the dipole moment is μ = m cos(θ).

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