Solve the Problem $\mathrm { R }$ Of an Earthquake Is Based on the Features of the }

question 251

Multiple Choice

Solve the problem.
-The Richter scale magnitude $\mathrm { R }$ of an earthquake is based on the features of the associated seismic wave and is measured by $\mathrm { R } = \log ( \mathrm { a } / \mathrm { T } ) + \mathrm { B }$ , where a is the amplitude in $\mu \mathrm { m }$ (micrometers) , $\mathrm { T }$ is the period in seconds, and B accounts for the weakening of the seismic wave due to the distance from the epicenter. Compute the earthquake magnitude $\mathrm { R }$ when $\mathrm { a } = 210 , \mathrm {~T} = 5$ , and $\mathrm { B } = 3.5$ . (Round to the nearest ten-thousandth.)

• A) \(8.6232\)
• B) \(1.6232\)
• C) \(5.1232\)
• D) \(1.8768\)

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