Statement I: Oxygen, as the first member of group 16, primarily exhibits an oxidation state of \(-2\) due to its high electronegativity and small size, which favors electron gain rather than loss. However, it can also exist in oxidation states other than \(-2\), such as 0 in molecular oxygen (\(O_2\)), and \(+1\) or \(+2\) in compounds like \(OF_2\) and \(O_2F_2\). Therefore, the statement that oxygen exhibits only a \(-2\) oxidation state is incorrect.
Statement II: In group 16 elements, moving down the group from oxygen to polonium, there is an observed increase in the stability of the \(+4\) oxidation state, while the stability of the \(+6\) oxidation state decreases. This trend is attributed to the inert pair effect, where the tendency of the \(s\)-electrons to remain unpaired increases in heavier elements, making higher oxidation states less stable. Thus, elements like tellurium and polonium prefer to exhibit the \(+4\) oxidation state rather than \(+6\). Hence, the statement that the stability of the \(+4\) oxidation state decreases down the group is also incorrect.
The Correct answer is: Both Statement I and Statement II are incorrect
Which of the following Statements are NOT true about the periodic table?
A. The properties of elements are a function of atomic weights.
B. The properties of elements are a function of atomic numbers.
C. Elements having similar outer electronic configuration are arranged in the same period.
D. An element's location reflects the quantum numbers of the last filled orbital.
E. The number of elements in a period is the same as the number of atomic orbitals available in the energy level that is being filled.
Match List-I with List-II:
If \[ \frac{dy}{dx} + 2y \sec^2 x = 2 \sec^2 x + 3 \tan x \cdot \sec^2 x \] and
and \( f(0) = \frac{5}{4} \), then the value of \[ 12 \left( y \left( \frac{\pi}{4} \right) - \frac{1}{e^2} \right) \] equals to: