Respuesta :
Answer:
[tex]\frac{I_1}{I_2} =5[/tex]
Step-by-step explanation:
We can use Richter scale formula
[tex]R=log(I)[/tex]
where
I is intensity
R is Richter scale value
First case:
On May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale
so, we get
[tex]9.5=log(I_1)[/tex]
Second case:
On February 27, 2010, another earthquake in Chile measured 8.8 on the Richter scale
so, we get
[tex]8.8=log(I_2)[/tex]
we can subtract both equations
[tex]9.5-8.8=log(I_1)-log(I_2)[/tex]
[tex]log(\frac{I_1}{I_2} )=0.7[/tex]
[tex]\frac{I_1}{I_2} =10^{0.7}[/tex]
[tex]\frac{I_1}{I_2} =5[/tex]
The comparison of the intensities of the two earthquakes will be equal to I1/I2=5. We know that magnitude of the earthquake is expressed on a numerical scale that is based on seismograph oscillations.
What is the Richter scale?
The magnitude of the earthquake is expressed on a numerical scale which is based on seismograph oscillations. Richter scale is a logarithmic scale.
We can use the Richter scale formula
[tex]\rm R= log(I)[/tex]
where I is intensity and R is the Richter scale value
First case:
On May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale
so, we get
[tex]\rm 9.5= Log(I_1)[/tex]
Second case:
On February 27, 2010, another earthquake in Chile measured 8.8 on the Richter scale
so, we get
[tex]\rm 8.8=Log(I_2)[/tex]
we can subtract both equations
[tex]\rm 9.5-8.8=Log(I_1)-Log(I_2)\\\\\\Log\dfrac{I_1}{I_2}=0.7\\\\\\\dfrac{I_1}{I_2}=10^{0.7}\\\\\\\dfrac{I_1}{I_2}=5[/tex]
Hence the comparison of the intensities of the two earthquakes will be equal to I1/I2=5
To know more about the Richter scale follow
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