Wave Mechanics Question 629

Question: An earthquake generates both transverse (5) and longitudinal (P) sound waves in the earth. The speed of S waves in about 4.5 km/s and that of 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 5’wave. The epicenter of the earthquake is located at a distance about

Options:

A) 25 km

B) 250 km

C) 2500 km

D) 5000 km

Show Answer

Answer:

Correct Answer: C

Solution:

[c] If x be the distance of epicentre from the seismograph, then $ \frac{x}{v _{s}}-\frac{x}{v _{p}}=4\times 60 $ or $ \frac{x}{4.5}-\frac{x}{8}=4\times 60 $ on simplifying, we get $ ,x=2500km $