Spin-only magnetic moment of Mn in KMnO$_4$:
\[\mu = 0\]
Spin-only magnetic moment of the manganese product formed during titration of KMnO$_4$ against oxalic acid in acidic medium:
\[\mu = 6 \, \text{BM}\]
Difference in magnetic moments:
\[6 - 0 = 6 \, \text{BM}\]
Nature of compounds TeO₂ and TeH₂ is___________ and ______________respectively.
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