Question

On the Richter Scale, the magnitude R of an earthquake of intensity I is given by the equation in the image, where I0 = 1 is the minimum intensity used for comparison. (The intensity of an earthquake is a measure of its wave energy). Find the intensity per unit of area I for the Anchorage Earthquake of 1989, R = 9.2.

Answer 1

we have the formula

`R=\log _(10)(I)/(I_0)`

we have

R=9.2

I0=1

substitute in the given equation

`\begin{gathered} 9.2=\log _(10)(I)/(1) \\ 9.2=\log _(10)I \\ I=10^((9.2)) \\ \end{gathered}`

I=1,584,893,192.46