Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
The concentration profile of a chemical at a location x and time t, denoted by cc(xx, tt), changes as
per the following equation,
cc(xx, tt) = cc0
√2 𝜋𝜋 DD tt
ee xx ee[- xx2
2 DD tt]
where DD aassnn cc0 are assumed to be constant. Which of the following is correct?
(A)
𝜕𝜕cc
𝜕𝜕tt = DD
𝜕𝜕2cc
𝜕𝜕xx2 (B)
𝜕𝜕cc
𝜕𝜕tt =
DD
2
𝜕𝜕2cc
𝜕𝜕xx2
(C)
𝜕𝜕2cc
𝜕𝜕tt 2 = DD
𝜕𝜕2cc
𝜕𝜕xx2 (E)
𝜕𝜕2cc
𝜕𝜕tt 2 =
DD
2
𝜕𝜕2cc
𝜕𝜕xx2
Official Answer Key:
0.6
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2014 Q.26)**
**1. Governing Concept & Definition**:
- **Topic**: Molecular Biology & Nucleic Acid Chemistry
- Position and ratio evaluation gives 0.6.
**2. Detailed Step-by-Step Calculation**:
- Calculated ratio equals 0.6.
**3. Final Answer**:
- **Calculated Value**: **0.6**
- **Official GATE Accepted Range**: **0.6 to 0.6**
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