(a) | The bulk modulus is infinite. |
(b) | The bulk modulus is zero. |
(c) | The shear modulus is infinite. |
(d) | The shear modulus is zero. |
1. | (a) and (d) only |
2. | (b) and (d) only |
3. | (b) and (c) only |
4. | (c) and (d) only |
Hint: An ideal fluid provides zero resistance to the shear forces.
Step 1: Find the Bulk modulus of the liquid.
As, an ideal liquid is not compressible, so, change in volume, \(\Delta V= 0\)
The Bulk modulus of the liquid is given by;
\(\text {Bulk modulus} ~(B)=\frac{\text {Stress}}{\text {Volume strain}}=\frac{F / A}{\Delta V / V}=\frac{F}{A} \times \frac{V}{\Delta V}=\infty\)
The compressibility of the liquid is given by;
Compressibility \((K)= \frac{1}{B}= \frac{1}{\infty}= 0\)
Step 2: Find the shear modulus of the liquid.
As there is no tangential (viscous) force exists in the case of an ideal fluid, therefore, there is zero shear modulus.
Therefore, the correct statements are (a) and (d).
Hence, option (1) is the correct answer.
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