A tetrapeptide "x" on complete hydrolysis produced glycine (Gly), alanine (Ala), valine (Val), leucine (Leu) in equimolar proportion each. The number of tetrapeptides (sequences) possible involving each of these amino acids is

Solution & Explanation

### Related Formula textNumber of unique sequences = n! ### Core Logic A **tetrapeptide** is formed by connecting four amino acids through three peptide linkages. Since the problem specifies that complete hydrolysis of the tetrapeptide produces Gly, Ala, Val, and Leu in *equimolar proportions*, the peptide must contain exactly one molecule of each of these four distinct amino acids. ### Step 1: Calculate the Permutations The number of unique peptide sequences corresponds to the number of ways we can arrange these 4 distinct amino acids: textNumber of permutations = 4! = 4 times 3 times 2 times 1 = 24 ### Pattern Recognition Combinatorics in Chemistry: If we have n unique, non-repeating amino acids, the number of linear isomeric peptides is n!. If repetition were permitted, the number of possible peptides would be n^n (which would be 4^4 = 256 in this case). ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules

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Q31 jee_main_2025_03_april_morning Carbohydrates - Structure of Fructose
Which of the following is the correct structure of L-fructose ?
  • A. Structure (1)
  • B. Structure (2)
  • C. Structure (3)
  • D. Structure (4)

Solution

### Core Logic To assign D or L configurations to ketohexoses like fructose, locate the configuration at the highest-numbered asymmetric carbon atom (carbon-5). * In D-fructose, the -textOH group on C-5 is situated on the \right side in the Fischer projection. * In L-fructose, the configuration of every stereocenter is inverted compared to D-fructose, meaning the -textOH group on C-5 is situated on the \left hand side.
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
L-Fructose configuration diagram for Q31 - JEE Main 2025 Morning
### Pattern Recognition Shortcut: L-sugar means the stereocenter farthest from the carbonyl group (C5 for hexoses) has its -textOH pointing \left. Ensure it is the perfect non-superimposable mirror image of standard D-fructose. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules
Q29 jee_main_2025_04_april_evening Amino Acids and Peptides
A dipeptide, "x" on complete hydrolysis gives "y" and "z". "y" on treatment with aq. HNO_2 produces lactic acid. On the other hand "z" on heating gives the following cyclic molecule.
Cyclic molecule from dipeptide residue heating for Q29 - JEE Main 2025 Evening
The image shows a heterocyclic six-membered cyclic molecule containing amide groups, formed by heating amino acid residue z.
Based on the information given, the dipeptide X is:
  • A. valine-glycine
  • B. alanine-glycine
  • C. valine-leucine
  • D. alanine-alanine

Solution

### Related Formula textDipeptide X xrightarrowtextHydrolysis textAmino Acid y + textAmino Acid z ### Core Logic - Since **y** reacts with nitrous acid (HNO_2) to give lactic acid (CH_3-CH(OH)-COOH), **y** must be alanine (CH_3-CH(NH_2)-COOH). - When glycine (NH_2-CH_2-COOH) is heated, two molecules undergo intermolecular cyclization to produce a six-membered diketopiperazine ring as shown in the problem diagram. Therefore, **z** is glycine. Hence, combining residue **y** (alanine) and **z** (glycine), the dipeptide X is **alanine-glycine**. ### Step 1: Stepwise Degradation Overview Reaction scheme: 1. Alanine-Glycine linkage rightarrow Alanine + Glycine 2. textAlanine + HNO_2 rightarrow textLactic acid + N_2uparrow + H_2O 3. 2 times textGlycine xrightarrowDelta textCyclic diketopiperazine + 2H_2O ### Pattern Recognition Lactic acid generation from alpha-amino acids via nitrous acid deamination is a definitive chemical fingerprint for alanine. The unsubstituted cyclic diketopiperazine product confirms glycine as the second component. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules
Q39 jee_main_2025_04_april_morning Proteins and Amino Acids
Identify the pair of reactants that upon reaction, with elimination of HCl will give rise to the dipeptide Gly-Ala.
  • A. mathrmNH_2-CH_2-COCl text and mathrmNH_2-CH(CH_3)-COOH
  • B. mathrmNH_2-CH_2-COCl text and mathrmNH_3-CH(CH_3)-COCl
  • C. mathrmNH_2-CH_2-COOH text and mathrmNH_2-CH(CH_3)-COCl
  • D. mathrmNH_2-CH_2-COOH text and mathrmNH_2-CH(CH_3)-COOH

Solution

### Core Logic A dipeptide sequence is parsed strictly from the **N-terminus** to the **C-terminus**. Therefore, in Gly-Ala: * **Glycine (Gly)** must supply its carbonyl end for coupling. * **Alanine (Ala)** must provide its free amine end. To drive peptide bond formation via the explicit elimination of HCl, the carboxyl group of glycine must be pre-activated as an acyl chloride variant: mathrmNH_2-CH_2-COCl. This reacts smoothly with the unsubstituted amine terminus of alanine, mathrmNH_2-CH(CH_3)-COOH, liberating HCl to form the amide bridge linkage: mathrmNH_2-CH_2-CONH-CH(CH_3)-COOH. ### Pattern Recognition peptide naming structure sequence convention dictates: textFirst name = textN-terminus acyl donor, textSecond name = textC-terminus amine acceptor. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules
Q50 jee_main_2025_04_april_morning Nucleic Acids
The total number of hydrogen bonds of a DNA-double Helix strand whose one strand has the following sequence of bases is: 5' - G - G - C - A - A - A - T - C - G - G - C - T - A - 3'
Numerical Answer. Answer: 33 to 33

Solution

### Related Formula textG-C base pairing implies 3 text Hydrogen bonds textA-T base pairing implies 2 text Hydrogen bonds ### Core Logic Let's audit the nucleotide base distribution across the given single strand structure: 5' - G - G - C - A - A - A - T - C - G - G - C - T - A - 3' * **Count the Guanine (G) and Cytosine (C) bases:** Bases present: G_1, G_2, C_3, C_8, G_9, G_10, C_11 implies Total of 7 bases. Each G-C interaction forms 3 hydrogen bonds: textBonds_G-C = 7 times 3 = 21 * **Count the Adenine (A) and Thymine (T) bases:** Bases present: A_4, A_5, A_6, T_7, T_12, A_13 implies Total of 6 bases. Each A-T interaction forms 2 hydrogen bonds: textBonds_A-T = 6 times 2 = 12 Summing them up yields the total hydrogen bonds in the helix: textTotal Htext-bonds = 21 + 12 = 33 ### Pattern Recognition Quick check optimization: Total Bonds = 3 times (\#G + \#C) + 2 times (\#A + \#T). ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules
Q26 jee_main_2025_07_april_evening Proteins and Amino Acids
Given below are two statements: Statement (I): On hydrolysis, oligo peptides give rise to fewer number of alpha-amino acids while proteins give rise to a large number of beta-amino acids. Statement (II): Natural proteins are denatured by acids which convert the water soluble form of fibrous proteins to their water insoluble form. In the light of the above statements, choose the most appropriate answer from the options given below:
  • A. textBoth statement I and statement II are correct
  • B. textStatement I is incorrect but Statement II is correct
  • C. textBoth statement I and statement II are incorrect
  • D. textStatement I is correct but Statement II is incorrect

Solution

### Related Formula textProtein xrightarrowtextHydrolysis textPeptides xrightarrowtextHydrolysis alphatext-amino acids ### Core Logic Statement (I) is incorrect because the complete hydrolysis of both oligopeptides and proteins yields alpha-amino acids, not beta-amino acids. Statement (II) is incorrect because fibrous proteins are inherently water-insoluble structural materials. Denaturation typically disrupts the tertiary and secondary structures of water-soluble globular proteins, making them insoluble. ### Step 1: Final Conclusion Since both Statement I and Statement II are false, option (3) is the correct choice. ### Pattern Recognition All naturally occurring proteins are polymers of alpha-amino acids, so any statement mentioning beta-amino acids as direct translation products can be confidently ruled out. Fibrous proteins (like keratin or collagen) are structural and always insoluble, unlike globular proteins. ### Evaluation Rubric / Model Answer null ### Chapter Mix Class 12 Chemistry: Biomolecules

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