Question

The magnitude​ R, measured on the Richter​ scale, of an earthquake of intensity I is defined as Requalslog StartFraction Upper I Over Upper I 0 EndFraction ​, where Upper I 0 is a minimum intensity used for comparison. If the intensity of an earthquake was 10 Superscript 6.08times Upper I0​, what was the magnitude on the Richter​ scale?

Answer 1

Answer:

R = 6.8

Explanation:

Given data:

Richter scale$R = log(\frac{I}{I_o})$

where R - magnitude of earthquake of Richter scale

I - quake's intensity $= 10^{6.8} \times I_o$

$I_o$ - minimum intensity earthquake

Plugging all information in the equation to get Richter's scale

$R = log(\frac{10^{6.8} \times I_o}{I_o})$

$R = log(10^{6.8})$

R = 6.8