Concept:
Certain nouns related to measurement, ranking, and grading are commonly used with the preposition “on”.
Step 1: Understand what the Richter scale represents.
The Richter scale is a scientific scale used to measure the magnitude or intensity of earthquakes.
Scientists compare earthquake strength according to positions on this scale.
Step 2: Recall the standard expression used with scales.
The accepted English expression is:
\[
\text{measured on the Richter scale}
\]
Similarly, we say:
\[
\text{rated on a scale of 1 to 10}
\]
Step 3: Insert the appropriate preposition in the sentence.
The complete sentence becomes:
\[
\text{Intensity of an earthquake is measured on the Richter scale.}
\]
Hence,
\[
\boxed{\text{on}}
\]