Step 1: Understanding the Concept:
During carbon fixation, plants must open their stomata to allow \( \text{CO}_2 \) to diffuse into the leaf mesophyll.
This opening inevitably allows water vapor to escape from the saturated interior of the leaf to the drier atmosphere, a process known as transpiration.
Key Formula or Approach:
The relationship between water loss and carbon gain is quantified by two inverse indices:
1. Transpiration Ratio (TR):
\[ \text{Transpiration Ratio} = \frac{\text{Amount of Water Transpired}}{\text{Amount of } CO_2 \text{ Assimilated}} \]
2. Water Use Efficiency (WUE):
\[ \text{Water Use Efficiency} = \frac{\text{Amount of } CO_2 \text{ Assimilated}}{\text{Amount of Water Transpired}} = \frac{1}{\text{Transpiration Ratio}} \]
Step 2: Detailed Explanation:
1. Transpiration Ratio (B): This ratio indicates the amount of water a plant must transpire to produce a single gram of dry matter (or assimilate a mole of \( \text{CO}_2 \)).
For \( C_3 \) plants, the transpiration ratio is high (typically 500 to 1000), meaning they lose up to 1000 molecules of water for every molecule of \( \text{CO}_2 \) fixed.
For \( C_4 \) plants, this ratio is lower (250 to 350), and for CAM plants, it is lowest (50 to 100), reflecting their water-conserving adaptations.
2. Water Use Efficiency (A): This is the inverse of the transpiration ratio, representing the amount of carbon fixed per unit of water lost.
3. Quantum Efficiency (C): This measures the efficiency with which light energy is converted into chemical energy, calculated as the moles of \( \text{CO}_2 \) fixed per mole of photons absorbed.
Therefore, the ratio of water transpired to carbon dioxide assimilated is defined as the Transpiration Ratio.
Step 3: Final Answer:
The ratio is called the Transpiration Ratio, corresponding to option (B).