GATE BT 2017 • Q25 NAT • 1 Mark

Section 4: Bioprocess Engineering and Process Biotechnology

Mass transfer in bioprocesses (kLa)

Subtopic: Fundamentals of Mass transfer in bioprocesses (kLa)

Question Statement:

At the transcription start site of a gene, any of the four nucleotides can occur with equal probability P. The Shannon Entropy S, given by S = - Lf 1 Piln pi, for this start site is Given data: 1n(2) = 0.69

Official Answer Key:

1.35 to 1.42

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2017 Q.25)** **1. Governing Concept & Syllabus Classification**: - **Section**: BT - **Question Type**: **MCQ** (1 Mark) - **Core Topic**: Biochemistry, Microbiology & Molecular Biology **2. Detailed Step-by-Step Analytical & Scientific Derivation**: - **Systematic Conceptual & Option-by-Option Evaluation**: - Problem Focus: *"At the transcription start site of a gene, any of the four nucleotides can occur with equal probability P. The Shannon Entropy S, given by S = - Lf 1 Piln pi, for this start site is Given data: 1n(2) = 0.69 --- PAGE 7 -..."* - **Option (C) [CORRECT]**: *"Option C"* - Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **C** - **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).

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