Assertion (A): The hardness test is a slow, expensive method of assess...
Assertion (A): The hardness test is a slow, expensive method of assessing the mechanical properties of materials.
Reason (R): The hardness is a function of yield stress and the work hardening rate of material.
To assess the correctness of the given assertion and reason, let's analyze them individually:
Assertion (A): The hardness test is a slow, expensive method of assessing the mechanical properties of materials.
This assertion is true. Hardness testing involves measuring the resistance of a material to indentation, scratching, or penetration. It is a commonly used method to determine the mechanical properties of materials, such as strength, toughness, and wear resistance. However, hardness testing can be time-consuming and expensive. It requires specialized equipment like hardness testing machines or indenters, which can be costly to acquire and maintain. Additionally, the testing process itself may take considerable time to perform accurately, especially for large or complex-shaped specimens.
Reason (R): The hardness is a function of yield stress and the work hardening rate of material.
This reason is also true. Hardness is influenced by various factors, including the yield stress and work hardening rate of a material. Yield stress refers to the stress at which plastic deformation begins, and it represents the material's ability to resist permanent deformation. Work hardening rate refers to the rate at which a material becomes stronger and more resistant to deformation as it is deformed. Both yield stress and work hardening rate affect the material's response to indentation or deformation, which in turn, affects its hardness.
Explanation of the Correct Answer:
Both the assertion and reason are individually true. The hardness test is indeed a slow and expensive method of assessing the mechanical properties of materials. Hardness is also influenced by the yield stress and work hardening rate of a material. Therefore, the reason is the correct explanation of the assertion.
In conclusion, the correct answer is option B. Both assertion (A) and reason (R) are individually true, and reason (R) is the correct explanation of assertion (A).
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