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Assertion Modulus of elasticity does not...

Assertion Modulus of elasticity does not depend upon the dimensions of material
Reason Modulus of elasticity is a material property.

A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If both Assertion and Reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question regarding the modulus of elasticity, we can break it down into the following steps: ### Step 1: Understand the Assertion The assertion states that the modulus of elasticity does not depend upon the dimensions of the material. This means that regardless of the size or shape of a material sample, its modulus of elasticity remains constant. **Hint:** Consider how the modulus of elasticity is defined and what factors influence it. ### Step 2: Understand the Reason The reason provided states that the modulus of elasticity is a material property. This means that it is an intrinsic characteristic of the material itself, not influenced by external factors such as size or shape. **Hint:** Reflect on the definition of material properties and how they relate to the behavior of materials under stress. ### Step 3: Relate the Assertion and Reason Since the modulus of elasticity is defined as the ratio of stress to strain (E = stress/strain), it is clear that this ratio is independent of the dimensions of the material. Thus, the assertion is supported by the reason, as both highlight that the modulus of elasticity is a characteristic of the material itself. **Hint:** Think about how stress and strain are measured and how they relate to the material's properties. ### Step 4: Conclusion Both the assertion and the reason are true, and the reason correctly explains the assertion. Therefore, we can conclude that the correct answer is that both the assertion and reason are true, and the reason is the correct explanation of the assertion. **Hint:** Consider how to summarize your findings to clearly state the relationship between the assertion and reason. ### Final Answer Both the assertion and reason are true, and the reason is the correct explanation of the assertion. Thus, the answer is option 1.
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