How does the bulk modulus of elasticity of a fluid change with increasing pressure ?
- AIt remains constant
- BIt decreases with increase in pressure
- CIt increases with increase in pressureCorrect
- DIt becomes zero
Solution
Concept
Bulk modulus of liquids
Formula
K = −dp / (dV/V)
Step-by-step solution
1. As pressure rises, the fluid becomes harder to compress further. 2. So K increases with pressure.
Explanation
The bulk modulus of a liquid increases as pressure increases because the molecules are packed closer together and resist further compression.
Why the other options are wrong
It does not remain constant, decrease, or fall to zero.
Shortcut
More pressure → less compressible → larger K.
Common mistake
Assuming K is constant.
Correct answer: C) It increases with increase in pressure