MCQ
For an ideal liquid
- AThe bulk modulus is infinite.
- BThe shear modulus is zero.
- CThe shear modulus is infinite.
- ✓Both $A$ and $B$
✓
Answer
Correct option: D.
Both $A$ and $B$
An ideal liquid is not compressible.
Bulk modulus $(\text{K})=\frac{-\text{p(V)}}{\Delta\text{V}} (\because\Delta\text{V=0})$
$\because\Delta\text{V=0}$ for ideal liquid.
$\therefore\text{K=}\infty$ for ideal liquid.
As there is no net tangential force on liquid $(S.T.$ is all around on a particle$)$ so shearing strain $\Delta\theta=0$ and $F=0.$
$\eta=\frac{\text{F/A}}{\Delta\theta}=\frac{0}{0}$ indeterminant value.
Hence, verifies option $(a)$ and $(b)$ and rejects option $(c).$
Bulk modulus $(\text{K})=\frac{-\text{p(V)}}{\Delta\text{V}} (\because\Delta\text{V=0})$
$\because\Delta\text{V=0}$ for ideal liquid.
$\therefore\text{K=}\infty$ for ideal liquid.
As there is no net tangential force on liquid $(S.T.$ is all around on a particle$)$ so shearing strain $\Delta\theta=0$ and $F=0.$
$\eta=\frac{\text{F/A}}{\Delta\theta}=\frac{0}{0}$ indeterminant value.
Hence, verifies option $(a)$ and $(b)$ and rejects option $(c).$
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