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An earthquake generates both transverse ...

An earthquake generates both transverse (S) and longitudinal (P) sound waves in the earth. The speed of S waves is about 4.5 km /s and that of P waves is about 8.0 km/s . A seismograph records P and S waves from an earthquake. The first P wave arrives 4.0 min before the first S wave. The epicenter of the earthquake is located at a distance about

A

25 km

B

250 km

C

2500 km

D

5000 km

Text Solution

Verified by Experts

The correct Answer is:
C
`d=v_(P)t_(P)=v_(S)t_(S)implies8t_(P)=4.5t_(S)`
`t_(P)=(4.5)/(8)t_(S) and t_(S)-t_(P)=240`
`t_(S)=(240xx8)/(3.5)=548.5sec`
`therefore d=v_(S)t_(S)=4.5xx548.5=2468.6~~2500km`
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