An earthquake has a magnitude of 6.7 on the Richter Scale.Find the intensity.
To find the intensity of an earthquake given its magnitude on the Richter scale, you can use the following formula:
I = 10^(1.5M + 4.8)
Where:
- I represents the intensity of the earthquake
- M is the magnitude of the earthquake on the Richter scale
In this case, the magnitude is 6.7. Plugging this value into the formula:
I = 10^(1.5 * 6.7 + 4.8)
Now we can calculate the intensity using a scientific calculator or any calculator that supports exponentiation:
I ā 10^(10.05 + 4.8)
I ā 10^(14.85)
This can be simplified to:
I ā 1.498 * 10^14
Therefore, the intensity of the earthquake with a magnitude of 6.7 on the Richter scale is approximately 1.498 * 10^14.