The magnitude R, measured on the Richter scale, of an earthquake of intensity I is defined as Requalslog StartFraction Upper I

Question

3 years ago

10

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?

Physics

1 answer:

lapo4ka [179] · Answer 1 · 2022-04-08T06:52:38+03:00

lapo4ka [179]3 years ago

6 0

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

The magnitude​ R, measured on the Richter​ scale, of an earthquake of intensity I is defined as Requalslog StartFraction Upper I

The magnitude R, measured on the Richter scale, of an earthquake of intensity I is defined as Requalslog StartFraction Upper I