MCQ
The Bulk Modulus for an incompressible liquid is
  • A
    zero
  • B
    unity
  • infinity
  • D
    between $0$ and $1$

Answer

Correct option: C.
infinity
c
We know that the bulk modulus is,

$\mathrm{B}=-\frac{\mathrm{dpV}}{\Delta \mathrm{V}}$

Here $\mathrm{p}=$ Pressure (stress)

$-\frac{\Delta \mathrm{V}}{\mathrm{V}}=\text { Volume strain }$

But liquid is incompressible, so

${\Delta \mathrm{V}=0} $

Hence,  ${\mathrm{B}=-\frac{\mathrm{pV}}{0}=\infty}$

or $\mathrm{B}=\infty$ (infinity)

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