By what factor does the intensity increase for each whole number increase in the Richter scale? Use your understanding of logarithms and the inverse relationship between logarithms and exponents to explain your answer.

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Answer:

the intensity increases by a factor of 10, the Ritcher scale uses a logarithm with base 10. For example an earthquake with magnitude 2 is 10^2 times more intense than a standard earthquake, while an earthquake with magnitude 3 is 10^3 times more intense than a standard earthquake, and 10^3 = 10^2 • 10

Step-by-step explanation:

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The intensity of the sound increases by a factor of 10.

What is intensity of sound?

The intensity of sound is the power per unit area carried by a wave.

The intensity of a wave or sound can be measured using Richter scale.

[tex]M = log(\frac{I}{10^{-4}} )[/tex]

Where;

  • M is the magnitude of the earthquake
  • I is the intensity of the earthquake

Thus, we can conclude that the intensity of the sound increases by a factor of 10.

Learn more about intensity of sound here:  https://brainly.com/question/17062836