Subtopic: Fundamentals of Cell structure and signaling
Question Statement:
A roller bottle culture vessel perfectly cylindrical in shape having inner radius (r) = 10 em and
length (I) = 20 cm was fitted with a spiral film of length (L) = 30 cm and width (W) = 20 cm. If the
film can support 10' anchorage dependent cells per cm', the increase in the surface area after fitting
the spiral film and the additional number of cells that can be grown respectively are
1200 cm' and 12 x 10' cells
Options:
(B) 600 cm' and 6 × 10' cell.
(C) 600 cm' and 8300 cells
(D) 1200 cm' and 8300 cell:
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2010 Q.28)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: Biotechnology
- **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: *"A roller bottle culture vessel perfectly cylindrical in shape having inner radius (r) = 10 em and
length (I) = 20 cm was fitted with a spiral film of length (L) = 30 cm and width (W) = 20 cm. If the
film can support 10' ..."*
- **Option (A) [CORRECT]**: *""*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (B) [INCORRECT]**: *"600 cm' and 6 × 10' cell."* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"600 cm' and 8300 cells"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"1200 cm' and 8300 cell:"* 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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