Question

CUMPLEIE

What is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake?
Round the answer to the nearest tenth.
M=

Answer 1

3.7 on egde

Explanation:

Answer 2

the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7

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

⇒
`M = Log((I_1)/(I_0) )` , Where M is magnitude of earthquake

`I_1` is the measured magnitude of intensity of earthquake .

`I_0` is the standard magnitude of intensity of earthquake .

According to question ,
`I_1 = 5011I_0` , Hence

⇒
`M = Log((I_1)/(I_0) )`

⇒
`M = Log((5011(I_0))/(I_0) )`

⇒
`M = Log(5011 )`

⇒
`M =3.69924` { On rounding off we get }

⇒
`M =3.7`

Therefore , the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake is 3.7