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dexar [7]
3 years ago
15

The magnitude of an earthquake, measured on the Richter Scale, is M log1o T where / is the amplitude registered on a seismograph

100km away from the seismic center, and lo is a certain very small amplitude. Using the Richter Scale, find the magnitude rating for an earthquake causing an amplitude of 10,000,000 times lo
Chemistry
1 answer:
just olya [345]3 years ago
8 0

<u>Answer:</u> The magnitude rating for an earthquake causing an amplitude 10,000,000 times I_o is 7.

<u>Explanation:</u>

Richter scale is defined as the scale which expresses the magnitude of earthquake on the basis of the seismograph oscillations.

The equation used to measure the magnitude of an earthquake on Richter scale is:

M=log_{10}\frac{I}{I_o}

where

I = amplitude registered on seismograph 100 km away from seismic center = 10,000,000I_o

I_o = small amplitude

Putting values in above equation, we get:

M=\log_{10}(\frac{10000000I_o}{I_o})\\\\M=7

Hence, the magnitude rating for an earthquake causing an amplitude 10,000,000 times I_o is 7.

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