`C_(40)H_(56)` is the empirical formula of

Options

A. Chlorophyll b
B. Carotene
C. Xanthophyll
D. Anthocyanin.

Answer

To determine which photosynthetic pigment corresponds to the empirical formula \( C_{40}H_{56} \), we will analyze each option provided in the question.

### Step-by-Step Solution:

1. **Identify the Given Empirical Formula**:
The empirical formula provided is \( C_{40}H_{56} \).

2. **Examine Each Option**:
- **Chlorophyll B**: The empirical formula for chlorophyll B is \( C_{55}H_{70}MgN_{4}O_{6} \). This does not match \( C_{40}H_{56} \).
- **Carotene**: The empirical formula for carotene is \( C_{40}H_{56} \). This matches the given empirical formula.
- **Xanthophyll**: The empirical formula for xanthophyll is \( C_{40}H_{56}O_{2} \). This does not match \( C_{40}H_{56} \) as it includes oxygen.
- **Anthocyanin**: The empirical formula for anthocyanin is \( C_{50}H_{11}O \). This does not match \( C_{40}H_{56} \).

3. **Conclusion**:
Among the options, only carotene has the empirical formula \( C_{40}H_{56} \). Therefore, the answer is carotene.

### Final Answer:
The empirical formula \( C_{40}H_{56} \) corresponds to **carotene**.

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