Find the magnitude of an earthquake that has an intensity that is 32.75 (that is, the amplitude of the seismograph reading is 32.75 cm). (round your answer to one decimal place.)

M = 5.515

Explanation:

The magnitude of an Earthquake can be calculated by the following formula -

M = log ( I / S )

Where ,

M = magnitude

I = Intensity

S = standard earthquake intensity i.e 10 ⁻⁴

Hence ,

To calculate the magnitude of the earthquake of intensity = 32.75 ,

The above formula is used as -

M = log ( I / S )

M = log ( 32.75 /  10 ⁻⁴ )

M = log ( 32.75 * 10⁴ )

M = log ( 327500 )

M = 5.515

Hence , the value of magnitude is 5.515 .

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