Question

What is the magnitude of an earthquake that is 5011 times more than a standard earthquake round the answer to the nearest 10th

Answer 1

Given:

Intensity of earthquake is 5011 times more than

To find:

The magnitude of an earthquake that is 5011 times more than a standard earthquake.

Solution:

The magnitude of an earthquake:

`$M=\log \left((I_(1))/(I_(0))\right)`

where
`I_1` is the measured intensity of earthquake and

`I_0` is the standard intensity of earthquake

Given 5011 times more than a standard earthquake.

`I_(1)=5011 I_(0)`

Substitute this into the magnitude.

`$M=\log \left((5011 I_(0))/(I_(0))\right)`

Cancel both
`I_0` in the numerator and denominator.

`M=\log (5011)`

`M=3.6999`

M = 3.7

The magnitude of the earthquake is 3.7.