Question

Clue #6: Shake, rattle, & roll!Geologist Charles Richter defined the magnitude M of an earthquake to be: = log + where I is the intensity of the earthquake and S is the intensity of a “standard.”Two earthquakes are described below:Which earthquake was more powerful?

Answer 1

Step-by-step explanation:

Here, we want to get the more powerfulof the earthquakes

Let us start with Valvidia

For Valvidia, to get the intensity,we have to multiply 6.3 by the magnitude of the Rat islands earthquake

Mathematically, we have this as:

`\begin{gathered} M\text{ = log (6.3 }*\text{ 8.7) + 8.7} \\ M\text{ = 10.4} \end{gathered}`

For the Tohoku,

We have to multiply the standard's intensity by 100

Thus,we have its value as:

`\begin{gathered} M\text{ = log (7}*100)\text{ + 7} \\ M\text{ =2.85 + 7 = 9.9} \end{gathered}`

Since 10.4 is greater than 9.9, we can deduce that the Valvidia earthquake was more powerful

Thus, we have it that;

`\begin{gathered} \text{Magnitude}_{Valvidia\text{ }}>Magnitude_(Tohoku) \\ O\text{ = Valvidia Magnitude} \end{gathered}`