Question

Assertion (A) : Bulk modulus of elasticity (K) represents incompressibility of the material.
Reason (R) : $K=-\frac{\Delta P}{\Delta V/V}$, where symbols have their standard meaning.

• A. Both assertion and reason are true and the reason is correct explanation of the assertion
• B. Both assertion and reason are true, but reason is not correct explanation of the assertion
• C. Assertion is true, but the reason is false
• D. Assertion is false, but the reason is true

Answer 1

The correct option is A Both assertion and reason are true and the reason is correct explanation of the assertion

The formula given in sentence B is correct and we can easily estimate that for same $\Delta P$ if we get different values of $\Delta V$ we can get different bulk modulus which would be a representation of whether fluid is more or less compressible.Suppose $\Delta V$ is more for one fluid then its bulk modulus is less and compressibility is more as $\Delta V$ is more. So bulk modulus is a measure of incompressibility.