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The velocity of the transverse waves produced by an earthquake is 4.05 km/s, while that of the longitudinal waves is 7.695 km/s. A seismograph records the arrival of the transverse waves 69.9 s after that of the longitudinal waves. How far away was the earthquake? Answer in units of km.

Respuesta :

Answer:

x = 600 Km

Explanation:

given,

speed of transverse wave = 4.05 Km/s

speed of longitudinal wave = 7.695 Km/s

difference of the time of arrival of wave = 69.9 s

now,

t₂ - t₁ = 69.9 s

let x be the distance

[tex]\dfrac{x}{4.05} - \dfrac{x}{7.695} = 69.9[/tex]

[tex]x = \dfrac{69.9\times 4.05 \times 7.695}{7.695-4.05}[/tex]

x = 597.645 Km

x = 600 Km

distance of recorder from the site is 600 Km approximately.

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