(a) find the magnitude of an earthquake that has an intensity that is 39.25 (that is, the amplitude of the seismograph reading is 39.25 cm). (round your answer to one decimal place.) 5.59 correct: your answer is correct. (b) an earthquake was measured to have a magnitude of 4.4 on the richter scale. find the intensity of the earthquake. (round your answer to one decimal place.) 0.4 incorrect: your answer is incorrect.

Magnitude is a measure of the amount of energy released in an earthquake. It is often described using the Richter scale. To calculate the magnitude, measure the amplitude of the waves on the seismometer and correct for the distance between the recorder and the epicenter of the earthquake.

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 ( 39.25/ 10 ⁻⁴ )

M = log ( 39.25 × 10⁴ )

M = log ( 3925000 )

M = 5.59 ≈5.6

Hence , the value of magnitude is 5.6.

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

The above formula is used as -

M = log ( I / S )

M = log ( 4.4/ 10 ⁻⁴ )

M = log ( 4.4 × 10⁴ )

M = log ( 44000 )

M = 4.64

Hence , the value of magnitude is 4.64.

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