
Choose the correct option for structures of A and B, respectively:




The given structure is of an amino acid with both acidic (COOH) and basic (NH2) groups. The transformation at different pH values is due to the ionization states of these groups.
Conclusion: The correct option for the structures of A and B corresponds to the image above, where A is at pH 2 and B is at pH 10.
Choose the correct set of reagents for the following conversion:
When
undergoes intramolecular aldol condensation, the major product formed is:


Two cells of emf 1V and 2V and internal resistance 2 \( \Omega \) and 1 \( \Omega \), respectively, are connected in series with an external resistance of 6 \( \Omega \). The total current in the circuit is \( I_1 \). Now the same two cells in parallel configuration are connected to the same external resistance. In this case, the total current drawn is \( I_2 \). The value of \( \left( \frac{I_1}{I_2} \right) \) is \( \frac{x}{3} \). The value of x is 1cm.
If $ \theta \in [-2\pi,\ 2\pi] $, then the number of solutions of $$ 2\sqrt{2} \cos^2\theta + (2 - \sqrt{6}) \cos\theta - \sqrt{3} = 0 $$ is:
The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is: