On april 11, 2012, two earthquakes were measured off the northwest coast of sumatra. the first had a magnitude of 8.6. the second had a magnitude of 8.2. by what approximate factor was the intensity of the first earthquake greater than the intensity of the second earthquake?

Respuesta :

The intensity of the first earthquake greater than the intensity of the second earthquake was approximately 2.51.

What is Earthquake?

Earthquake refers to the natural disaster which occurs to the shifting of the tectonic plates of the earth which leads to the loss of the property and the life of the people.

The Magnitude of the first earthquake was 8.6 and that of the second earthquake was 8.2. Let intensity of first earthquake be x,

Magnitude of the first earthquake= log(x/s)

                                                  8.6 = log(x/s)....... (1)

Let intensity of Second earthquake be Y

Magnitude of the second earthquake= log(y/s)

                                                  8.2= log(y/s)........(2)

Thus in order to find the intensity of the earthquake greater than the second one divide the (1) with (2)

log (x/y)  =  8.6 - 8.2

log (x/y) = 0.4

[tex]x/y = 10^{0.4}[/tex]

[tex]x/y = 2.51[/tex]

Thus the required factor is 2.51.

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