Related Formula
μ = q × d$$\mu = q \times d$$
Core Logic
Given dipole moment, μ = 1.2 D = 1.2 × 10⁻¹⁸ esu cm$\mu = 1.2\text{ D} = 1.2 \times 10^{-18}\text{ esu cm}$.
Bond distance, d = 1AA = 10⁻⁸ cm$d = 1\mathrm{\AA} = 10^{-8}\text{ cm}$.
We need to find the fractional charge q$q$.
Step 1: Calculation
q = (μ)/(d)$$q = \frac{\mu}{d}$$
q = 1.2 × 10⁻¹⁸ esu cm10⁻⁸ cm$$q = \frac{1.2 \times 10^{-18}\text{ esu cm}}{10^{-8}\text{ cm}}$$
q = 1.2 × 10⁻¹⁰ esu$$q = 1.2 \times 10^{-10}\text{ esu}$$
Step 2: Final Formatting
The question asks for the fractional charge in the form x × 10⁻¹⁰ esu$x \times 10^{-10}\text{ esu}$. Therefore, the value is 1.2$1.2$.
Note: Based on NTA officially accepting 12$12$ (if asked for x × 10⁻¹¹$x \times 10^{-11}$) or 1.2$1.2$. We will format it exactly as calculated.
Chapter Mix
Class 11 Chemistry: Chemical Bonding and Molecular Structure