List of top Questions asked in CUET (PG)- 2025

If \( x \in \mathbb{R} \) and a particular integral (P.I.) of \( (D^2 - 2D + 4)y = e^x \sin x \) is \( \frac{1}{2} e^x f(x) \), then \( f(x) \) is:

The orthogonal trajectory of the cardioid \( r = a(1 - \cos\theta) \), where 'a' is an arbitrary constant is:

For 3 mol of an ideal gas \(\left[ C_{p,m} = \frac{5}{2}R \right]\), being heated from 300 K to 600 K, the change in entropy at constant pressure is

Match List-I with List-II:\[\begin{array}{|c|c|} \hline \textbf{List-I (Reaction Name)} & \textbf{List-II (Reactant)} \\ \hline \text{(A) Friedlander's synthesis} & \text{(I) o-Aminobenzaldehyde} \\ \hline \text{(B) Doebner-Miller's synthesis} & \text{(III) Aniline} \\ \hline \text{(C) Hantzsch's synthesis} & \text{(IV) \(\beta\)-Ketoneester} \\ \hline \text{(D) Bischler-Napieralski's synthesis} & \text{(II) \(\beta\)-Phenylethylamide} \\ \hline \end{array}\] Choose the correct answer from the options given below:

The following transformation is carried out by: \includegraphics[width=0.5\textwidth]{08.jpeg} Choose the correct answer from the options given below:

Consider the following statements with respect to Benzil-Benzylic acid rearrangement and Cannizzaro's reaction: \[\begin{array}{rl} \bullet & \text{(A) Both are base catalyzed reactions.} \\ \bullet & \text{(B) Both reactions involve shifting of an anion in their mechanism.} \\ \bullet & \text{(C) Both reactions can occur inter-molecularly and intra-molecularly.} \\ \bullet & \text{(D) Both involve simultaneous redox reactions.} \\ \end{array}\] Choose the correct answer from the options given below:

At 0 K, the molecule CO exists in two alternate arrangements (CO and OC) in the solid crystal. The value of the entropy is (where thermodynamic probability \( W = k^N \)):

Arrange the following compounds in decreasing order of their rates of hydrolysis with water. (A) Acetamide
(B) Acetyl chloride
(C) Ethyl acetate
(D) Acetic anhydride
Choose the correct answer from the options given below:

The standard enthalpy of formation for which of the element is not zero at 1 bar pressure and specified temperature?

Arrange the dissociation constant of phosphoric acid in increasing order. \[\begin{aligned} \text{H}_3\text{PO}_4 + \text{H}_2\text{O} &\rightleftharpoons \text{H}_3\text{O}^+ + \text{H}_2\text{PO}_4^- \quad (K_{\text{a1}}) \\ \text{H}_2\text{PO}_4^- + \text{H}_2\text{O} &\rightleftharpoons \text{H}_3\text{O}^+ + \text{HPO}_4^{2-} \quad (K_{\text{a2}}) \\ \text{HPO}_4^{2-} + \text{H}_2\text{O} &\rightleftharpoons \text{H}_3\text{O}^+ + \text{PO}_4^{3-} \quad (K_{\text{a3}}) \\ \end{aligned}\]