Biomolecules, enzyme kinetics

### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2025 Q.60)** **1. Governing Concept & Definition**: - **Topic**: Biophysical Techniques & Beer-Lambert Law - Absorbance ($A$) is logarithmically related to transmittance ($T = I/I_0$) by: $A = -\log_{10}(T) = \log_{10}\left(\frac{1}{T}\right)$ - Percentage transmittance ($\%T$) is defined as: $\%T = T \times 100\% = 10^{-A} \times 100\%$ **2. Detailed Step-by-Step Calculation**: - **Given**: - Absorbance $A = 2$ - **Calculate Transmittance ($T$)**: $T = 10^{-A} = 10^{-2} = 0.01$ - **Calculate Percentage Transmittance ($\%T$)**: $\%T = 0.01 \times 100\% = 1\%$ **3. Final Answer**: - **Calculated Value**: **1%** - **Official GATE Accepted Range**: **1 to 1**