Mathematics, 14.07.2019 06:00 jay13212
An earthquake releases e=10^18.4 ergs of energy. what is the measure of the quake on the richter scale? use the formula m=2/3 log(e/10^11.8) a. 11.8b. 6.6c. 4.4d. 18.4
Answers: 1
![{\text{Amount of energy releases from an earthquake is given by }}E = {10^{18.4}} ergs \hfill \\ {\text{Released energy can be measured on Richter scale using the formula}} \hfill \\ M = \frac{2}{3}{\log _{10}}\left( {\frac{E}{{{{10}^{11.8}}}}} \right) \hfill \\ {\text{On substituting the value of }}E{\text{ in the given formula, we get}} \hfill \\ M = \frac{2}{3}{\log _{10}}\left( {\frac{{{{10}^{18.4}}}}{{{{10}^{11.8}}}}} \right) \hfill \\\Rightarrow M = \frac{2}{3}{\log _{10}}\left( {{{10}^{18.4 - 11.8}}} \right) \hfill \\ \Rightarrow M = \frac{2}{3}{\log _{10}}\left( {{{10}^{6.6}}} \right) \hfill \\\Rightarrow M = \frac{2}{3} \times 6.6 \hfill \\\Rightarrow M = 2 \times 2.2 \hfill \\ \Rightarrow M = 4.4 \hfill \\ \[{\text{Thus, the correct option is C}}.\]](/tpl/images/0087/5935/177e5.png)
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An earthquake releases e=10^18.4 ergs of energy. what is the measure of the quake on the richter sca...
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