[amp_mcq option1=”$${\text{V}}_0^{\frac{1}{2}}$$” option2=”$${\text{V}}_0^{\frac{3}{2}}$$” option3=”$${\text{V}}_0^{\frac{5}{2}}$$” option4=”$${\text{V}}_0^{\frac{7}{2}}$$” correct=”option1″]
The correct answer is $\boxed{\text{V}_0^{\frac{3}{2}}}$.
Kennedy’s equation for silt transporting power is:
$$P = C_K \text{V}_0^{\frac{3}{2}}$$
where $C_K$ is a dimensionless constant that depends on the sediment type and bed material.
The equation states that the silt transporting power is proportional to the cube root of the critical velocity. This is because the critical velocity is the velocity at which the sediment starts to move. As the velocity increases, the sediment particles are able to move more easily and the transporting power increases.
The other options are incorrect because they do not represent the correct relationship between the critical velocity and the silt transporting power.