Answer:
The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Explanation:
The magnitude of earthquakes is given by
[tex]Magnitude=log\frac{I}{S}[/tex]
[tex]2=log\frac{I}{S}\\[/tex]
Where I is the intensity of earthquake and S is the intensity of standard earthquake.
The magnitude of standard earthquakes is given by
[tex]Magnitude=log\frac{S}{S}= log(1) = 0[/tex]
So comparing the magnitude of the given earthquake and standard earthquake,
[tex]log\frac{I}{S} = log\frac{S}{S}[/tex]
[tex]log\frac{I}{S} - log\frac{S}{S}[/tex]
[tex]log(2) - log(1)[/tex]
[tex]2 - 0[/tex]
[tex]2[/tex]
which means that
[tex]10^2 = 100[/tex] times greater
Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
