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AP EAMCET · PHYSICS · Waves and Sound

An earthquake generates both transverse \(S\) and longitudinal \(P\) waves in the earth with speeds \(4.5 \mathrm{~km} \mathrm{~s}^{-1}\) and \(8.0 \mathrm{~km} \mathrm{~s}^{-1}\), respectively. A seismograph records that the first \(P\)-wave arrives 3.5 minutes earlier than the first S-wave. From the seismograph, the epicentre of the earthquake is located at a distance.

  1. A \(1080 \mathrm{~km}\)
  2. B \(2468 \mathrm{~km}\)
  3. C \(2160 \mathrm{~km}\)
  4. D \(4320 \mathrm{~km}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2160 \mathrm{~km}\)

Step-by-step Solution

Detailed explanation

Let the distance of epicenter of earthquake from point of observation be \(d\). speed of \(S\)-wave, \(v_S=4.5 \mathrm{~km}^{-1} \mathrm{~s}\) speed of \(P\)-wave, \(v_P=8 \mathrm{~km}^{-1} \mathrm{~s}\) then, \(d=V_P t_P=V_S t_S\) or \(8 t_P=4.5 t_S\)…
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