Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
Which of the following statements is true for the series given below?
ssss = 1 + 1
√2
+ 1
√3
+ 1
√4
+ ⋯ + 1
√ss
(A) ssss converges to log(√n) (B) ssss converges to √n
(C) ssss converges to exp(√n) (D) ssss diverges
Options:
(A) ssss converges to log(√n)
(B) ssss converges to √n
(C) ssss converges to exp(√n)
(D) ssss diverges
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.28)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"Amino acid residue which is most likely to be found in the interior of water-soluble globular
proteins is..."*
- **Option (A) [CORRECT]**: *"Threonine"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (B) [INCORRECT]**: *"Aspartic acid"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"Valine"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"Histidine"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **A**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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