In free state, carbon occurs as.....................and......................

Answer

**Step-by-Step Solution:**

1. **Understanding Free State of Carbon**: The term "free state" refers to the natural occurrence of an element in its pure form, not combined with other elements.

2. **Identifying Forms of Carbon**: Carbon can be found in various forms in nature. The two most notable pure forms of carbon are diamond and graphite.

3. **Listing the Forms**:
- The first form of carbon in its free state is **diamond**.
- The second form of carbon in its free state is **graphite**.

4. **Additional Information**: While diamond and graphite are the purest forms of carbon, there are other forms such as coal (which is impure) and carbon dioxide (CO2), but these are not considered free states of carbon.

5. **Final Answer**: Therefore, in free state, carbon occurs as **diamond** and **graphite**.

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