Questions: If an earthquake measures 5.6 on the Richter Scale, what is the intensity of this earthquake, relative to a 0 -level earthquake? Round off your answer to the nearest integer.
Transcript text: If an earthquake measures 5.6 on the Richter Scale, what is the intensity of this earthquake, relative to a 0 -level earthquake? Round off your answer to the nearest integer.
Solution
To determine the intensity of an earthquake relative to a 0-level earthquake using the Richter Scale, we use the formula:
\[ I = 10^M \]
where \( I \) is the intensity relative to a 0-level earthquake, and \( M \) is the magnitude on the Richter Scale.
Given that the earthquake measures 5.6 on the Richter Scale, we substitute \( M = 5.6 \) into the formula:
\[ I = 10^{5.6} \]
Calculating this gives:
\[ I = 398107.17 \]
Rounding this to the nearest integer, the intensity of the earthquake relative to a 0-level earthquake is approximately 398107.
Therefore, the intensity of the earthquake is 398107 times that of a 0-level earthquake.