Which statement (s) is/are correct about dipole moment
(I) Debye is equivalent to `3.33 xx 10^(-30) Cm`
(II) 1 Debye is equivalent to `10^(-18) esu cm`
(III) `SI` unit of dipole moment is coulomb meter `(Cm)`
`(1 Cm = q xx d = 1.602 xx 10^(-19) xx 10^(-9) m)`
(IV) Dipole moment of a molecule is useful to explain the shape of a molecule and also to predict other properties of the molecule .

Options

A. `I,II`
B. `I,III,IV`
C. `I,II,III`
D. All are correct

Answer

To determine which statements about dipole moment are correct, we will analyze each statement one by one.

### Step 1: Analyze Statement I
**Statement I:** Debye is equivalent to `3.33 x 10^(-30) Cm`.

To verify this, we can use the relationship between the CGS unit of dipole moment (Debye) and the SI unit (Coulomb meter).

From the video transcript, we find that:
- 1 Debye = `3.33 x 10^(-30) Cm`.

**Conclusion:** Statement I is correct.

### Step 2: Analyze Statement II
**Statement II:** 1 Debye is equivalent to `10^(-18) esu cm`.

In the CGS system, the dipole moment formula is given as:
\[ \mu = q \cdot d \]
Where:
- Charge (q) = `4.8 x 10^(-10) esu`
- Distance (d) = `10^(-8) cm`

Calculating the dipole moment in CGS units:
\[ \mu = (4.8 x 10^{-10} \, esu) \cdot (10^{-8} \, cm) = 4.8 x 10^{-18} \, esu \cdot cm \]

Since 1 Debye = `10^(-18) esu cm`, this statement is also verified.

**Conclusion:** Statement II is correct.

### Step 3: Analyze Statement III
**Statement III:** SI unit of dipole moment is Coulomb meter `(Cm)`.

The SI unit of dipole moment is indeed derived from the product of charge (in Coulombs) and distance (in meters):
\[ \mu = q \cdot d \]
Thus, the SI unit of dipole moment is:
\[ \text{Coulomb} \cdot \text{meter} = Cm \]

**Conclusion:** Statement III is correct.

### Step 4: Analyze Statement IV
**Statement IV:** Dipole moment of a molecule is useful to explain the shape of a molecule and also to predict other properties of the molecule.

The dipole moment provides information about the distribution of charge within a molecule. It can indicate whether a molecule is polar or non-polar, which in turn affects its shape and reactivity. Therefore, this statement is accurate.

**Conclusion:** Statement IV is correct.

### Final Conclusion
All statements (I, II, III, and IV) are correct. Therefore, the answer to the question is that all statements about dipole moment are correct.

### Summary of Correct Statements
- I: Correct
- II: Correct
- III: Correct
- IV: Correct