Since mammalian cells are sensitive to shear, scale-up of a mammalian cell process must consider,
among other parameters, the following (given N = rotations/time, D=diameter of impeller)
(A) 𝜋𝜋𝜋𝜋DD (B) 𝜋𝜋𝜋𝜋2DD
(C) 𝜋𝜋𝜋𝜋DD2 (D) none of these
Options:
(A) 𝜋𝜋𝜋𝜋DD
(B) 𝜋𝜋𝜋𝜋2DD
(C) 𝜋𝜋𝜋𝜋DD2
(D) none of these
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.11)**
**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: *"The eigenvalues of 𝐀𝐀= ቂ1
−4
2
−3ቃ are..."*
- **Option (C) [CORRECT]**: *"-1±2i"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"2±i"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"-1, -2"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"non-existent"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 1 Mark (Negative marking: -0.33 marks).
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