Based on the rules of magnitude on the Richter scale if one earthquake is 30 times as intense as another, the larger earthquake was 1.48 larger on the Richter scale.
The magnitude on the Richter scale is a term in geography used to describe the base-10 logarithmic scale, which implies that each order of magnitude is 10 times stronger than the last one.
Therefore, in this case, we have the following:
I1 = 30 I2
We are looking for the quantity M1 -- M2.
M1 = log I1/S
M2 = log I2/S
I1 = 30 I2
M1 - M2 = log I1/S - log I2/S
M1 - M2 = log (I1/S) - log (I2/S)
M1 - M2 = (log I1 - log S) - (log I2- log S)
M1 - M2 = (log 30 I2 - log S) - (log I2- log S)
M1 - M2 = (log 30 + log I2 - log S) - (log I2- log S)
M1 - M2 = log 30 + log I2 - log S - log I2- log A
M1 - M2 = log 30
M1 - M2 ≈ 1.48
Usually, the Richter scale is generally used to rate the magnitude of an earthquake, that is the quantity of energy released during an earthquake.
Hence, in this case, it is concluded that the correct answer is that the larger earthquake was 1.48 larger on the Richter scale.
Learn more about the Richter scale here: https://brainly.com/question/24037139
#SPJ1