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?

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Divyamadaan8054go Divyamadaan8054go · Answer 1

An earthquake is defined as the natural disaster that impact on the million lives of people, animals and growth of nation.

Solution:

Magnitude of first earthquake = 8.6

Let, intensity of first earthquake be x

Magnitude=log (x/S), where S is seismographic factor

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

Magnitude of second earthquake = 8.2

Let intensity of second earthquake be y

Magnitude=log (y/S), where S is seismographic factor

=8.6=log (y/S)........(2)

Now, we divide equation (1) by equation (2)

=log (x/y)= 8.6-8.2

=log(x/y)=0.4

=x/y=10(0.4)

=x/y=2.51

Hence, the required factor is 2.51

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