Find the magnitude R of each earthquake of intensity I let I₀ $=1$. I=262300000 A) 7.42 B) 6.42 C) 8.42 D) 10.42 E) 9.42

Question

Quizplus · Accepted Answer

The magnitude R of an earthquake is given by: 
$R = \frac{2}{3} \log_{10} \frac{I}{I_0}$ 
where I is the intensity of the earthquake and $I_0$ is a reference intensity of $1 \mu Pa$.
Using the given value of $I=262300000$, we can solve for R: 
$R = \frac{2}{3} \log_{10} \frac{262300000}{1} \approx 8.42$
Therefore, the answer is choice C).

Find the Magnitude R of Each Earthquake of Intensity I =1=1=1

Find the Magnitude R of Each Earthquake of Intensity I $=1$