Question

The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. Which equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake? M = log StartFraction I Over S EndFraction M = log (10 S) M = log StartFraction 10 S Over S EndFraction M = log StartFraction 10 Over S EndFraction.

Answer 1

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is $\rm M = log\left ( \dfrac{10S}{S}\right )$.

Given

The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.

The magnitude of an earthquake

The magnitude of an earthquake is a measure of the energy it releases.

For an earthquake with 1,000 times more intense than a standard earthquake.

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;

$\rm M =log \dfrac{I}{S}\\\\M = log \dfrac{10s}{s}\\\\M=log 10\\\\M =1$

Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is $\rm M = log\left ( \dfrac{10S}{S}\right )$.

To know more about the magnitude of earthquakes click the link given below.

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