Assertion (A): All naturally occurring \(\alpha\)-amino acids except glycine are optically active. Reason (R): Most naturally occurring amino acids have L-configuration.
Assertion (A) is false, but Reason (R) is true.
Step 1: Understanding optical activity of amino acids. All naturally occurring \(\alpha\)-amino acids, except for glycine, are optically active because they contain a chiral carbon atom (except glycine which has two hydrogen atoms on the chiral center, making it achiral).
Step 2: L-configuration of amino acids. Most naturally occurring amino acids are in the L-configuration, which is why they are optically active (except glycine).
Step 3: Conclusion. Thus, both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A), making option (A) the correct answer. \vspace{10pt}
How many different stereoisomers are possible for the given molecule?
A school is organizing a debate competition with participants as speakers and judges. $ S = \{S_1, S_2, S_3, S_4\} $ where $ S = \{S_1, S_2, S_3, S_4\} $ represents the set of speakers. The judges are represented by the set: $ J = \{J_1, J_2, J_3\} $ where $ J = \{J_1, J_2, J_3\} $ represents the set of judges. Each speaker can be assigned only one judge. Let $ R $ be a relation from set $ S $ to $ J $ defined as: $ R = \{(x, y) : \text{speaker } x \text{ is judged by judge } y, x \in S, y \in J\} $.