D-glyceraldehyde is the simplest monosaccharide with one chiral center. It is a three-carbon aldose with the following structural formula: \[ \text{CHO-CHOH-CHOH} \] Among the given structures:
- Structure (A) represents D-glyceraldehyde itself, as it matches the formula and configuration of D-glyceraldehyde.
- Structure (B) is an isomer, and the configuration matches that of D-glyceraldehyde.
- Structures (C) and (D) do not correlate to D-glyceraldehyde because they do not maintain the correct stereochemistry at the chiral center.
Thus, only two of the given structures (A) and (B) can be correlated to D-glyceraldehyde.
Assertion (A): All naturally occurring \(\alpha\)-amino acids except glycine are optically active. Reason (R): Most naturally occurring amino acids have L-configuration.
(a) Define the following:
(i) Enantiomers
(ii) Racemic mixture
The CORRECT statement(s) regarding the given molecules is(are):
If \[ f(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dx, \quad f(0) = -6 \], then f(1) is equal to: