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In the following questions, a statement ...

In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice as
(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 assertion and reason are false.
Q. Assertion: Bulk modulus of elasticity B represents incompressibility of the material
Reason: `B=-(triangleP)/((triangleV)/(V))`, where symbols have their usual meaning.

A

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

B

If both assertion and Reason are true but the reason is not the correct explanation of the 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 question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "Bulk modulus of elasticity B represents incompressibility of the material." - **Understanding Bulk Modulus**: The bulk modulus (B) is a measure of a material's resistance to uniform compression. A high bulk modulus indicates that a material is incompressible, meaning it does not change volume significantly under pressure. - **Conclusion**: The assertion is **true** because the bulk modulus indeed represents how incompressible a material is. ### Step 2: Analyze the Reason The reason states: "B = -ΔP / (ΔV/V)", where symbols have their usual meaning. - **Understanding the Formula**: The formula given relates the change in pressure (ΔP) to the change in volume (ΔV) and the original volume (V). It is a correct representation of how bulk modulus is defined. - **Conclusion**: The reason is also **true** because it accurately describes the relationship used to calculate the bulk modulus. ### Step 3: Determine the Relationship Between Assertion and Reason - The assertion is true, and the reason is true as well. Furthermore, the reason provides a correct explanation for the assertion, as it explains how the bulk modulus relates to incompressibility. ### Final Conclusion Since both the assertion and reason are true, and the reason correctly explains the assertion, the correct choice is: **(a) If both assertion and reason are true and reason is the correct explanation of assertion.** ---
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "Bulk modulus of elasticity B represents incompressibility of the material." - **Understanding Bulk Modulus**: The bulk modulus (B) is a measure of a material's resistance to uniform compression. A high bulk modulus indicates that a material is incompressible, meaning it does not change volume significantly under pressure. - **Conclusion**: The assertion is **true** because the bulk modulus indeed represents how incompressible a material is. ...
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