Correct order of ionic radii:
\(O^{–2} > Mg^{+2}\)
This is because among isoelectronic species, the size of anions are greater than the size of cations.
Statement (II) is correct as both \(O^{–2}\) and \(Mg^{+2}\) are isoelectronic.
Hence, the correct option is (D): (A) is false but (R) is true.
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