Assertion : The specific heat capacity of a given solid can be determined by using the principle of calorimetry
Reason : Heat gained is equal to the heat lost.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true and reason is not the correct explanation of assertion.
C. If assertion is true and reason is false.
D. If both assertion and reason are false.

Explanation

To solve the question regarding the assertion and reason about specific heat capacity and calorimetry, we can break it down into clear steps:

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "The specific heat capacity of a given solid can be determined by using the principle of calorimetry."
- This is true because calorimetry is a method used to measure the heat transfer associated with chemical reactions or physical changes, and it can be used to determine the specific heat capacity of solids by measuring the heat exchange when a solid is heated or cooled.

2. **Understanding the Reason**:
- The reason states that "Heat gained is equal to the heat lost."
- This principle is known as the law of conservation of energy, which states that in an isolated system, the total energy remains constant. In calorimetry, this means that the heat lost by a hot object will equal the heat gained by a cold object, assuming no heat is lost to the surroundings.

3. **Evaluating the Relationship**:
- Both the assertion and the reason are correct statements.
- The reason provides a valid explanation for the assertion because the principle of calorimetry relies on the concept that heat gained equals heat lost to determine specific heat capacities.

4. **Conclusion**:
- Since both the assertion and reason are correct and the reason correctly explains the assertion, we conclude that the answer to the question is that both statements are true, and the reason is a correct explanation of the assertion.

### Final Answer:
Both the assertion and the reason are correct, and the reason is a correct explanation of the assertion.

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