



To determine which compound has the lowest \(pK_a\) value, we need to consider the acidity of the protons marked in each compound. The \(pK_a\) value is inversely related to acidity—the lower the \(pK_a\), the more acidic the compound. Here's the step-by-step reasoning:
Upon examination, the compound depicted in the above image (compound with the correct tagged proton in the provided list) has features that contribute to a highly stable conjugate base due to the presence of electronegative atoms or extensive resonance stabilization. Hence, it exhibits the lowest \(pK_a\) value among the given options.
(A)

(B) 
(C) 
(D) 
The conjugate base of compound (C) is stabilized by extended conjugation.
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]
The scientific study of matter’s properties and behaviour is known as chemistry. It is a natural science that studies the elements that makeup matter, as well as the compounds, made up of atoms, molecules, and ions: their composition, structure, qualities, and behaviour, as well as the changes that occur when they mix with other things.