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Earthquakes generate sound waves inside ...

Earthquakes generate sound waves inside the earth. In case of the earth, both transverse (S) and longitudinal (P) waves can propagate. Typically, the speed of S waves is about 4.5 km `s^-1` and that of P waves is 8.0 km `s^(-1)`. A seismograph records both P and S waves from an earthquake. this difference helps us to find the distanec of the point of origin of the earthquake. this point is called the epicenter.
Q. If only 2 seismograph readings are available, how may probable locations of an epicentre could be detected?

A

a. 1

B

b. 2

C

c. 3

D

d. 4

Text Solution

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The correct Answer is:
To determine the probable locations of an epicenter using two seismograph readings, we can follow these steps: ### Step-by-Step Solution 1. **Understanding Seismograph Readings**: - Each seismograph measures the time it takes for P and S waves to reach it. From this, we can calculate the distance from the seismograph to the epicenter of the earthquake. 2. **Calculating Distances**: - Let's assume the first seismograph records the epicenter to be at a distance of \( x \) kilometers. - The second seismograph records the epicenter to be at a distance of \( y \) kilometers. 3. **Drawing Circles**: - From the first seismograph, we can draw a circle with a radius of \( x \) kilometers. This circle represents all possible locations of the epicenter that are \( x \) kilometers away from the first seismograph. - From the second seismograph, we draw another circle with a radius of \( y \) kilometers. This circle represents all possible locations of the epicenter that are \( y \) kilometers away from the second seismograph. 4. **Finding Intersection Points**: - The two circles will intersect at two points (assuming the circles are not too far apart). These intersection points represent the two possible locations of the epicenter based on the readings from the two seismographs. 5. **Conclusion**: - Therefore, with two seismograph readings, we can determine that there are two probable locations for the epicenter of the earthquake. ### Final Answer The number of probable locations of an epicenter that could be detected using two seismograph readings is **2**. ---
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