By what approximate factor is the intensity of an earthquake with the magnitude 5.4 greater than an earthquake with magnitude 5.3?

The intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3 is about 1.3 times greater.

Step-by-step explanation:

Given : An earthquake with the magnitude 5.4 greater than an earthquake with magnitude 5.3.

To find : By what approximate factor is the intensity of an earthquake of given magnitudes is greater?

Solution :

The equation for the magnitude of an earthquake is given by

Where, I is the intensity of earthquake and  is constant.

For an earthquake with magnitude 5.4,

Similarly, for an earthquake with magnitude 5.3,

Now, equating both the magnitudes

The intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3 is about 1.3 times greater.

The factor is 1.3.