GATE BT 2014 • Q28 NAT • 1 Mark

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

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

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.28)** **1. Governing Concept & Domain**: This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (1 Mark, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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