Concept:
Sprinkler irrigation applies water in the form of artificial rainfall.
Step 1: For sprinkler irrigation to work properly, water application rate should not exceed soil infiltration rate.
Step 2: Heavy clay soils have low infiltration rate.
Step 3: If infiltration rate is too low, applied water remains on the surface and causes runoff or waterlogging.
Step 4: Sprinkler irrigation is not usually suitable when infiltration rate is less than:
\[
4\,mm/hr
\]
Step 5: Hence, the correct answer is \(4\,mm\) per hour.
\[
\boxed{4\,mm\text{ per hour}}
\]