Respuesta :
the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7
Step-by-step explanation:
Here we have , to find the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake . Let's find out:
We know that , Value of earthquake is given by formula
⇒ [tex]M = Log(\frac{I_1}{I_0} )[/tex] , Where M is magnitude of earthquake
[tex]I_1[/tex] is the measured magnitude of intensity of earthquake .
[tex]I_0[/tex] is the standard magnitude of intensity of earthquake .
According to question , [tex]I_1 = 5011I_0[/tex] , Hence
⇒ [tex]M = Log(\frac{I_1}{I_0} )[/tex]
⇒ [tex]M = Log(\frac{5011(I_0)}{I_0} )[/tex]
⇒ [tex]M = Log(5011 )[/tex]
⇒ [tex]M =3.69924[/tex] { On rounding off we get }
⇒ [tex]M =3.7[/tex]
Therefore , the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7
