What is the correct order of acidity of the protons marked A-D in the given compounds?
The key to determining acidity is analyzing the stability of the conjugate base. Factors like resonance, electronegativity, and hybridization play a crucial role. Carboxylic acids are generally much more acidic than carbon acids, which are more acidic than terminal alkynes. Alkynes with a negative charge adjacent to the triple bond are highly unstable.
\(H_C > H_D > H_A > H_B\)
HB > HA > HD > HC
HA > HB > HC > HD
\(H_C > H_A > H_D > H_B\)
The acidity of a proton depends on the stability of the conjugate base formed after its removal. The more stable the conjugate base, the more acidic the proton.
Step 1: Acidity of \(H_C\)
\(H_C\) is the most acidic proton. Removal of \(H_C\) results in a carboxylate anion, which is highly stabilized by resonance.\\[6pt]
Step 2: Acidity of \(H_D\)
\(H_D\) is the second most acidic proton. Its removal forms a carbanion that is stabilized by resonance with the benzene ring.\\[6pt]
Step 3: Acidity of \(H_A\) vs \(H_B\)
\(H_A\) is more acidic than \(H_B\). The conjugate base formed after the removal of \(H_A\) is stabilized by resonance with the triple bond, resulting in a negative charge being distributed over two carbon atoms. However, the conjugate base formed after removal of \(H_B\) results in the negative charge adjacent to the triple bond, with no resonance stabilization. This is highly unstable due to the electron-withdrawing nature of the sp-hybridized carbon in the alkyne.
Step 4: Overall Acidity Order
Therefore, the correct order of acidity is:
\[H_C > H_D > H_A > H_B.\]
Conclusion: Option \((2)\) is correct.

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 _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]