Question

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?

Answer 1

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

What approximate factor was the intensity of the first earthquake?

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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