List-I (Molecule / Species) | List-II (Property / Shape) |
---|---|
(A) \(SO_2Cl_2\) | (I) Paramagnetic |
(B) NO | (II) Diamagnetic |
(C) \(NO^{-}_{2}\) | (III) Tetrahedral |
(D) \(I^{-}_{3}\) | (IV) Linear |
(A) SO$_2$Cl$_2$: Hybridization is sp$^3$, Tetrahedral shape.
(B) NO: Unpaired electron, hence Paramagnetic.
(C) NO$_2^-$: Paired electrons, hence Diamagnetic.
(D) I$_3^-$: Linear shape with sp$^3$d hybridization.
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