GATE BT 2010 • Q40
MCQ • 2 Marks
Section 2: General Biotechnology
Cell structure and signaling
Subtopic: Fundamentals of Cell structure and signaling
Question Statement:
The dissociation constant K, for ligand binding to the receptor is 10-' M. The concentration of
ligand required for occupying 10% of receptors is
Options:
-
(A) 10* M
-
(B) 10'M
-
(C) 10*M
-
(D) 10"M
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2010 Q.40)**
**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: *"The dissociation constant K, for ligand binding to the receptor is 10-' M. The concentration of
ligand required for occupying 10% of receptors is..."*
- **Option (C) [CORRECT]**: *"10*M"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"10* M"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (B) [INCORRECT]**: *"10'M"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"10"M"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **C**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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