Question

The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake ?

Answer 1

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

$Magnitude=log\frac{I}{S}$

$2=log\frac{I}{S}$

Where I is the intensity of earthquake and S is the intensity of standard earthquake.

The magnitude of standard earthquakes is given by

$Magnitude=log\frac{S}{S}= log(1) = 0$

So comparing the magnitude of the given earthquake and standard earthquake,

$log\frac{I}{S} = log\frac{S}{S}$

$log\frac{I}{S} - log\frac{S}{S}$

$log(2) - log(1)$

$2 - 0$

$2$

which means that

$10^2 = 100$ times greater

Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.