The intensity of an earthquake is rated using the Richter scale. The Richter sca

Question

The intensity of an earthquake is rated using the Richter scale. The Richter scale rating of an earthquake of intensity x is given by R = log_10 x/x_0, where x_0 is the intensity of an earthquake of a certain small size. 4.8. Earthquake A had a Richter scale rating of 6.5, and earthquake B had a rating of 6.9. How mu Ch more powerful was the second earthquake than the first one? Earthquake B was 2 times as powerful as the first.

Explanation / Answer

Dear Student Thank you for using Chegg !! Given R = log10(x/x0) => 10^R = x/x0 x = x0*10^R x: Intensity R: Ritcher scale rating x0:- Intensity of earth quake at rating 4.8 Now intensity for earth quake A xA = x0*10^6.5 Now intensity for earth quake B xB = x0*10^6.9 xB/xA = 10^(6.9-6.5) = 10^0.4 = 2.51188643 Solution xB = 2.5xA

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