An earthquake had an intensity $10 ^ { 6.1 }$ times more powerful than a reference level earthquake, or $106.1 \cdot \mathrm { I } _ { 0 }$. What was the magnitude of this earthquake on the Richter scale? $\mathrm { R } = \log _ { 0 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$.
A) $3.9$
B) $16.1$
C) 14
D) $6.1$

Question

Quizplus · Accepted Answer

The magnitude $R$ on the Richter scale is calculated using the formula $R = \log_{10}(I/I_0)$, where $I$ is the intensity of the earthquake and $I_0$ is the reference level intensity. Given $I = 106.1 \cdot I_0$, substituting into the formula gives $R = \log_{10}(106.1) = 6.1$.

An Earthquake Had an Intensity 106.110 ^ { 6.1 }106.1 Times More Powerful Than a Reference Level Earthquake, Or

An Earthquake Had an Intensity $10 ^ { 6.1 }$ Times More Powerful Than a Reference Level Earthquake, Or