Import Question JSON

An ideal fluid is incompressible and provides zero resistance to shear forces. **Step 1: Find the Bulk modulus of the liquid.** As an ideal liquid is not compressible, the change in volume, $\Delta V = 0$. The Bulk modulus ($B$) of the liquid is given by: $B = \frac{\text{Stress}}{\text{Volume strain}} = \frac{F/A}{\Delta V/V}$ Since $\Delta V = 0$, the denominator $\Delta V/V = 0$. Therefore, the Bulk modulus $B = \frac{F/A}{0} = \infty$. Alternatively, the compressibility ($K$) is the reciprocal of the Bulk modulus: $K = \frac{1}{B}$. Since $B = \infty$, $K = \frac{1}{\infty} = 0$. So, statement (a) is correct: The bulk modulus is infinite. **Step 2: Find the shear modulus of the liquid.** An ideal fluid provides zero resistance to shear forces. This means there is no tangential (viscous) force in the case of an ideal fluid. The shear modulus ($G$) is given by: $G = \frac{\text{Shear Stress}}{\text{Shear Strain}}$ Since the shear stress (tangential force per unit area) is zero for an ideal fluid, the shear modulus $G = \frac{0}{\text{Shear Strain}} = 0$. So, statement (d) is correct: The shear modulus is zero. Therefore, the correct statements are (a) and (d).