Final answer:
The intensity of a magnitude 4.0 earthquake on the Richter scale is 10,000 microns. Option D is correct.
Step-by-step explanation:
The Richter scale is used to quantify the energy produced by an earthquake. The magnitude of an earthquake on the Richter scale is determined using the equation M = log I, where M is the magnitude and I is the intensity of the earthquake measured in microns. To determine the intensity of a magnitude 4.0 earthquake, you can rearrange the equation to solve for I: I = 10^M. Plugging in M = 4.0 into the equation, we get I = 10^4.0 = 10,000 microns.
The Richter scale is described by the model M = log I, where M is the magnitude and I is the intensity of the earthquake measured in microns. We are given the magnitude of an earthquake as 4.0 and we need to determine its intensity. We can rewrite the model as I = 10^M to solve for the intensity. Plugging in the magnitude:
I = 10^4.0
This gives us:
I = 10,000 microns
Therefore, the intensity of a magnitude 4.0 earthquake is 10,000 microns, which corresponds to option d.