The dipole moment \(\mu\) is given by:
\[ \mu = q \times d \]Substitute the values:
\[ 1.2 \times 10^{-10} \, \text{esu} \cdot \text{Å} = q \times 1 \, \text{Å} \] \[ q = 1.2 \times 10^{-10} \, \text{esu} \]Thus, the fractional charge on each atom is:
\[ 0 \times 10^{-1} \, \text{esu}. \]Match the LIST-I with LIST-II:
Choose the correct answer from the options given below :
The number of molecules/ions that show linear geometry among the following is _____. SO₂, BeCl₂, CO₂, N₃⁻, NO₂, F₂O, XeF₂, NO₂⁺, I₃⁻, O₃
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
Find the IUPAC name of the compound.
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32