Question

The intensities of earthquakes are measured with seismographs all over the world at different distances from the epicenter. Suppose that the intensity of a medium earthquake is originally reported as 10%. times I ,. Later this value is revised as 105.5 times I,. The local magnitude M (on the Richter scale) of an earthquake of intensity is given by log (14) Part 1 out of 3 a. Determine the magnitude of the earthquake using the original estimate for intensity. M=

also determine the magnitude using the revived estimate for intesity

Answer 1

@ 1 Io. > so for this case, Malog to ) 3 The magnitude , M of an earthquake of M= log ( 7 ) 2. Mes log 105.07. log (1050) = 5 dog (10) = 5 & therefore the magnitude of the of earthquake is 6. Using Revised estimate foro intensity : (10*** 105.510 log (losos) = 5.5 log (io) -15-5 ] Therefore magnitude of the earthquake is 15.5 @ The intensity of the earthquake was first thought To and the revised intensity was 105.5 jo As such, the natio of the earthquake is as follows: 105.5 To = 105.55.0 105.01 = 0 100.5 3.162. Take therefore the earthquake wad 3.162 times intense than it was originally originally anaumed. the to be 105.0 more

Thank you so much sir