On the Richter Scale, the Magnitude R of an Earthquake

question 117

Short Answer

On the Richter scale, the magnitude R of an earthquake is given by the formula where I is the intensity of the earthquake being measured and I₀ is the standard reference intensity.
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What is the magnitude of an earthquake that has intensity 10 millions times that of I₀?
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R = __________
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Suppose an earthquake is measured with a magnitude of 5 on the Richter scale with an error of at most 2%. Use differentials to find the error in the intensity of the earthquake.
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Definitions:

Genetic Bottleneck

A sharp reduction in the size of a population due to environmental events or human activities, which leads to a decrease in genetic diversity.

Founder Effect

Genetic drift that results from a small population colonizing a new area.

Frequency-Dependent Selection

Frequency-Dependent Selection refers to an evolutionary process by which the fitness of a phenotype or genotype depends on its frequency relative to other phenotypes or genotypes in the population.

Phenotype

A collection of visible features or attributes in an organism that emerge through the combination of its genetic makeup and environmental influences.