Read the assertion and reason carefully to mark the correct option ou...
Bulk modulus of elasticity measures how good the body is to regain its original volume on being compressed. Therefore, it represents incompressibility of the material. K = -PV/ΔV where P is increase in pressure, ΔV is change in volume.
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Read the assertion and reason carefully to mark the correct option ou...
Assertion: Bulk modulus of elasticity (K) represents incompressibility of the material.
Reason: Bulk modulus of elasticity is proportional to change in pressure.
The correct answer is option 'A'. Let's understand why.
1. Introduction:
The assertion states that the bulk modulus of elasticity represents the incompressibility of a material. The reason given is that the bulk modulus of elasticity is proportional to the change in pressure. In order to determine the correctness of the assertion and the reason, let's analyze each statement individually and then evaluate their relationship.
2. Understanding the Assertion:
The bulk modulus of elasticity (K) is a measure of a material's resistance to changes in volume under pressure. It quantifies the compressibility or incompressibility of a material. A higher value of bulk modulus indicates a higher resistance to volume change, which implies higher incompressibility.
3. Understanding the Reason:
The reason given states that the bulk modulus of elasticity is proportional to the change in pressure. This is correct because a change in pressure can lead to a change in volume if the material is compressible. The bulk modulus is defined as the ratio of the change in pressure to the corresponding fractional change in volume. Therefore, the bulk modulus is directly proportional to the change in pressure.
4. Relationship between the Assertion and Reason:
The reason provided is a correct explanation of the assertion. The bulk modulus of elasticity represents incompressibility because it is directly proportional to the change in pressure. A higher bulk modulus implies a higher resistance to volume change, indicating that the material is less compressible and more incompressible.
5. Conclusion:
Based on the analysis, we can conclude that both the assertion and reason are true, and the reason is the correct explanation of the assertion. Therefore, the correct answer is option 'A'.
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